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156232230048 = 25323714661433
BaseRepresentation
bin1001000110000000101…
…0101010010010100000
3112221021002111121021200
42101200022222102200
510024430422330143
6155434434521200
714200403021106
oct2214012522240
9487232447250
10156232230048
11602920258a4
1226341a36200
131196a7a854b
1477c1371c76
1540e5cdb1d3
hex24602aa4a0

156232230048 has 72 divisors (see below), whose sum is σ = 456293148948. Its totient is φ = 50669908992.

The previous prime is 156232230029. The next prime is 156232230053. The reversal of 156232230048 is 840032232651.

156232230048 is a `hidden beast` number, since 1 + 5 + 623 + 2 + 23 + 0 + 0 + 4 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 128573879184 + 27658350864 = 358572^2 + 166308^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 156232229994 and 156232230021.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7320061 + ... + 7341372.

Almost surely, 2156232230048 is an apocalyptic number.

156232230048 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

156232230048 is an abundant number, since it is smaller than the sum of its proper divisors (300060918900).

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

156232230048 is a wasteful number, since it uses less digits than its factorization.

156232230048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14661486 (or 14661475 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 156232230048 its reverse (840032232651), we get a palindrome (996264462699).

The spelling of 156232230048 in words is "one hundred fifty-six billion, two hundred thirty-two million, two hundred thirty thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 72 74 96 111 144 148 222 288 296 333 444 592 666 888 1184 1332 1776 2664 3552 5328 10656 14661433 29322866 43984299 58645732 87968598 117291464 131952897 175937196 234582928 263905794 351874392 469165856 527811588 542473021 703748784 1055623176 1084946042 1407497568 1627419063 2111246352 2169892084 3254838126 4222492704 4339784168 4882257189 6509676252 8679568336 9764514378 13019352504 17359136672 19529028756 26038705008 39058057512 52077410016 78116115024 156232230048