Search a number
-
+
152541032221215 = 345112910111690137
BaseRepresentation
bin100010101011110000111010…
…000010100000101000011111
3202000002210001210220011110000
4202223300322002200220133
5124443213013222034330
61300232214403145343
744062503660232161
oct4253607202405037
9660083053804400
10152541032221215
1144671319a52670
1215137583075253
13671673310c791
14299504d7d4931
151297e20470560
hex8abc3a0a0a1f

152541032221215 has 160 divisors (see below), whose sum is σ = 311644115703360. Its totient is φ = 70701942528000.

The previous prime is 152541032221181. The next prime is 152541032221243. The reversal of 152541032221215 is 512122230145251.

152541032221215 is a `hidden beast` number, since 1 + 5 + 2 + 5 + 410 + 3 + 2 + 2 + 21 + 215 = 666.

It is not a de Polignac number, because 152541032221215 - 211 = 152541032219167 is a prime.

It is a super-2 number, since 2×1525410322212152 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 152541032221215.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 7203627 + ... + 18893763.

It is an arithmetic number, because the mean of its divisors is an integer number (1947775723146).

Almost surely, 2152541032221215 is an apocalyptic number.

152541032221215 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

152541032221215 is an abundant number, since it is smaller than the sum of its proper divisors (159103083482145).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

152541032221215 is a wasteful number, since it uses less digits than its factorization.

152541032221215 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11690295 (or 11690286 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

Adding to 152541032221215 its reverse (512122230145251), we get a palindrome (664663262366466).

The spelling of 152541032221215 in words is "one hundred fifty-two trillion, five hundred forty-one billion, thirty-two million, two hundred twenty-one thousand, two hundred fifteen".

Divisors: 1 3 5 9 11 15 27 29 33 45 55 81 87 99 101 135 145 165 261 297 303 319 405 435 495 505 783 891 909 957 1111 1305 1485 1515 1595 2349 2727 2871 2929 3333 3915 4455 4545 4785 5555 8181 8613 8787 9999 11745 13635 14355 14645 16665 25839 26361 29997 32219 40905 43065 43935 49995 79083 89991 96657 129195 131805 149985 161095 237249 289971 395415 449955 483285 869913 1186245 1449855 2609739 4349565 11690137 13048695 35070411 58450685 105211233 128591507 175352055 315633699 339013973 385774521 526056165 642957535 946901097 1017041919 1157323563 1180703837 1578168495 1695069865 1928872605 3051125757 3471970689 3542111511 3729153703 4734505485 5085209595 5786617815 5903519185 9153377271 10415912067 10626334533 11187461109 12987742207 15255628785 17359853445 17710557555 18645768515 27460131813 31879003599 33562383327 34240411273 38963226621 45766886355 52079560335 53131672665 55937305545 64938711035 95637010797 100687149981 102721233819 116889679863 137300659065 159395017995 167811916635 171202056365 194816133105 302061449943 308163701457 350669039589 376644524003 478185053985 503435749905 513606169095 584448399315 924491104371 1052007118767 1129933572009 1510307249715 1540818507285 1753345197945 1883222620015 2773473313113 3389800716027 4622455521855 5260035593835 5649667860045 10169402148081 13867366565565 16949003580135 30508206444243 50847010740405 152541032221215