Search a number
-
+
60256657750146 = 23112139765819311
BaseRepresentation
bin11011011001101100110001…
…01011100011100010000010
321220100110222002020010100020
431230312120223203202002
530344221113341001041
6332053305412434310
715456254103006444
oct1554663053434202
9256313862203306
1060256657750146
1118221783459600
126912188918996
1327812420718c0
1410c461b454494
156e763212d866
hex36cd98ae3882

60256657750146 has 96 divisors (see below), whose sum is σ = 144125337318144. Its totient is φ = 16681245926400.

The previous prime is 60256657750109. The next prime is 60256657750189. The reversal of 60256657750146 is 64105775665206.

It is a happy number.

It is a super-3 number, since 3×602566577501463 (a number of 42 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 60256657750146.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31994170 + ... + 33825141.

It is an arithmetic number, because the mean of its divisors is an integer number (1501305597064).

Almost surely, 260256657750146 is an apocalyptic number.

60256657750146 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

60256657750146 is an abundant number, since it is smaller than the sum of its proper divisors (83868679567998).

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

60256657750146 is a wasteful number, since it uses less digits than its factorization.

60256657750146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65819448 (or 65819437 counting only the distinct ones).

The product of its (nonzero) digits is 63504000, while the sum is 60.

The spelling of 60256657750146 in words is "sixty trillion, two hundred fifty-six billion, six hundred fifty-seven million, seven hundred fifty thousand, one hundred forty-six".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 97 121 143 194 242 286 291 363 429 582 726 858 1067 1261 1573 2134 2522 3146 3201 3783 4719 6402 7566 9438 11737 13871 23474 27742 35211 41613 70422 83226 152581 305162 457743 915486 65819311 131638622 197457933 394915866 724012421 855651043 1448024842 1711302086 2172037263 2566953129 4344074526 5133906258 6384473167 7964136631 9412161473 12768946334 15928273262 18824322946 19153419501 23892409893 28236484419 38306839002 47784819786 56472968838 70229204837 82998151171 103533776203 140458409674 165996302342 207067552406 210687614511 248994453513 310601328609 421375229022 497988907026 621202657218 772521253207 912979662881 1545042506414 1825959325762 2317563759621 2738938988643 4635127519242 5477877977286 10042776291691 20085552583382 30128328875073 60256657750146