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152032255424 = 2673110947023
BaseRepresentation
bin1000110110010111010…
…1000001110111000000
3112112102101111210012222
42031211311001313000
54442330224133144
6153502002510212
713661333564120
oct2154565016700
9475371453188
10152032255424
1159527276795
122556b365368
131144b60b26a
147503644c80
153e4c2142ee
hex2365d41dc0

152032255424 has 56 divisors (see below), whose sum is σ = 355909644288. Its totient is φ = 63054846720.

The previous prime is 152032255379. The next prime is 152032255493. The reversal of 152032255424 is 424552230251.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×1520322554242 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5459624 + ... + 5487399.

Almost surely, 2152032255424 is an apocalyptic number.

152032255424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

152032255424 is an abundant number, since it is smaller than the sum of its proper divisors (203877388864).

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

152032255424 is a wasteful number, since it uses less digits than its factorization.

152032255424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10947073 (or 10947063 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 35.

Adding to 152032255424 its reverse (424552230251), we get a palindrome (576584485675).

The spelling of 152032255424 in words is "one hundred fifty-two billion, thirty-two million, two hundred fifty-five thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 112 124 217 224 248 434 448 496 868 992 1736 1984 3472 6944 13888 10947023 21894046 43788092 76629161 87576184 153258322 175152368 306516644 339357713 350304736 613033288 678715426 700609472 1226066576 1357430852 2375503991 2452133152 2714861704 4751007982 4904266304 5429723408 9502015964 10859446816 19004031928 21718893632 38008063856 76016127712 152032255424