Search a number
-
+
152083718325 = 325271182910589
BaseRepresentation
bin1000110110100011100…
…1010110000010110101
3112112112222100101001100
42031220321112002311
54442431412441300
6153511041520313
713662530163540
oct2155071260265
9475488311040
10152083718325
1159553326610
1225584643099
1311459189496
14750a3dd857
153e519cc700
hex2368e560b5

152083718325 has 144 divisors (see below), whose sum is σ = 340055913600. Its totient is φ = 63121420800.

The previous prime is 152083718299. The next prime is 152083718327. The reversal of 152083718325 is 523817380251.

152083718325 is a `hidden beast` number, since 1 + 520 + 83 + 7 + 18 + 32 + 5 = 666.

It is not a de Polignac number, because 152083718325 - 26 = 152083718261 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152083718327) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 14357131 + ... + 14367719.

It is an arithmetic number, because the mean of its divisors is an integer number (2361499400).

Almost surely, 2152083718325 is an apocalyptic number.

152083718325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

152083718325 is an abundant number, since it is smaller than the sum of its proper divisors (187972195275).

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

152083718325 is a wasteful number, since it uses less digits than its factorization.

152083718325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11452 (or 11444 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 152083718325 in words is "one hundred fifty-two billion, eighty-three million, seven hundred eighteen thousand, three hundred twenty-five".

Divisors: 1 3 5 7 9 11 15 21 25 33 35 45 55 63 75 77 99 105 165 175 225 231 275 315 385 495 525 693 825 829 1155 1575 1925 2475 2487 3465 4145 5775 5803 7461 9119 10589 12435 17325 17409 20725 27357 29015 31767 37305 45595 52227 52945 62175 63833 74123 82071 87045 95301 116479 136785 145075 158835 186525 191499 222369 227975 261135 264725 319165 349437 370615 410355 435225 476505 574497 582395 667107 683925 794175 815353 957495 1048311 1111845 1305675 1595825 1747185 1853075 2051775 2382525 2446059 2872485 2911975 3335535 4076765 4787475 5241555 5559225 7338177 8735925 8778281 12230295 14362425 16677675 20383825 26207775 26334843 36690885 43891405 61151475 61447967 79004529 96561091 131674215 183454425 184343901 219457025 289683273 307239835 395022645 482805455 553031703 658371075 675927637 869049819 921719505 1448416365 1536199175 1975113225 2027782911 2414027275 2765158515 3379638185 4345249095 4608597525 6083348733 7242081825 10138914555 13825792575 16898190925 21726245475 30416743665 50694572775 152083718325