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342487553952 = 25327113164497
BaseRepresentation
bin1001111101111011101…
…10010101011110100000
31012202000112202101202110
410332331312111132200
521102403303211302
6421200412515320
733513106114125
oct4767566253640
91182015671673
10342487553952
11122280328455
125646247bb40
13263b137358b
141280dc4074c
158d97763b6c
hex4fbdd957a0

342487553952 has 48 divisors (see below), whose sum is σ = 902347350912. Its totient is φ = 113741245440.

The previous prime is 342487553929. The next prime is 342487553963. The reversal of 342487553952 is 259355784243.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×3424875539522 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 342487553892 and 342487553901.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6556233 + ... + 6608264.

It is an arithmetic number, because the mean of its divisors is an integer number (18798903144).

Almost surely, 2342487553952 is an apocalyptic number.

342487553952 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

342487553952 is an abundant number, since it is smaller than the sum of its proper divisors (559859796960).

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

342487553952 is a wasteful number, since it uses less digits than its factorization.

342487553952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13164781 (or 13164773 counting only the distinct ones).

The product of its digits is 36288000, while the sum is 57.

The spelling of 342487553952 in words is "three hundred forty-two billion, four hundred eighty-seven million, five hundred fifty-three thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 271 542 813 1084 1626 2168 3252 4336 6504 8672 13008 26016 13164497 26328994 39493491 52657988 78986982 105315976 157973964 210631952 315947928 421263904 631895856 1263791712 3567578687 7135157374 10702736061 14270314748 21405472122 28540629496 42810944244 57081258992 85621888488 114162517984 171243776976 342487553952