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157637394432 = 21434771239
BaseRepresentation
bin1001001011001111101…
…0111100000000000000
3120001220000120100110000
42102303322330000000
510040320133110212
6200230112240000
714250254513220
oct2226372740000
9501800510400
10157637394432
1160943221681
1226674540000
1311b3294486b
1478b5c2a080
1541793511dc
hex24b3ebc000

157637394432 has 600 divisors, whose sum is σ = 548094919680. Its totient is φ = 44219105280.

The previous prime is 157637394391. The next prime is 157637394469. The reversal of 157637394432 is 234493736751.

157637394432 is a `hidden beast` number, since 1 + 57 + 6 + 3 + 73 + 94 + 432 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 659570569 + ... + 659570807.

Almost surely, 2157637394432 is an apocalyptic number.

157637394432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157637394432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274047459840).

157637394432 is an abundant number, since it is smaller than the sum of its proper divisors (390457525248).

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

157637394432 is an frugal number, since it uses more digits than its factorization.

157637394432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 322 counting only the distinct ones).

The product of its digits is 11430720, while the sum is 54.

The spelling of 157637394432 in words is "one hundred fifty-seven billion, six hundred thirty-seven million, three hundred ninety-four thousand, four hundred thirty-two".