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157132006344 = 233218791161463
BaseRepresentation
bin1001001001010111001…
…1000010001111001000
3120000120210120222022200
42102111303002033020
510033301243200334
6200104020120200
714231610005445
oct2222563021710
9500523528280
10157132006344
1160703a15075
1226553236060
1311a82024161
147868a709cc
154149cc1799
hex2495cc23c8

157132006344 has 48 divisors (see below), whose sum is σ = 425792702400. Its totient is φ = 52349415264.

The previous prime is 157132006331. The next prime is 157132006373. The reversal of 157132006344 is 443600231751.

157132006344 is a `hidden beast` number, since 1 + 5 + 7 + 13 + 2 + 0 + 0 + 634 + 4 = 666.

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 = 157132006299 and 157132006308.

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, 445444 + ... + 716019.

It is an arithmetic number, because the mean of its divisors is an integer number (8870681300).

Almost surely, 2157132006344 is an apocalyptic number.

It is an amenable number.

157132006344 is an abundant number, since it is smaller than the sum of its proper divisors (268660696056).

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

157132006344 is a wasteful number, since it uses less digits than its factorization.

157132006344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1163354 (or 1163347 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 157132006344 in words is "one hundred fifty-seven billion, one hundred thirty-two million, six thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1879 3758 5637 7516 11274 15032 16911 22548 33822 45096 67644 135288 1161463 2322926 3484389 4645852 6968778 9291704 10453167 13937556 20906334 27875112 41812668 83625336 2182388977 4364777954 6547166931 8729555908 13094333862 17459111816 19641500793 26188667724 39283001586 52377335448 78566003172 157132006344