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157405151232 = 218357353
BaseRepresentation
bin1001001010011000010…
…1000000000000000000
3120001021211120011200000
42102212011000000000
510034331204314412
6200151054400000
714241434465310
oct2224605000000
9501254504600
10157405151232
116083411694a
122660a800000
1311ac67ab554
147893053440
154163c784dc
hex24a6140000

157405151232 has 456 divisors, whose sum is σ = 540460205376. Its totient is φ = 44845498368.

The previous prime is 157405151203. The next prime is 157405151243. The reversal of 157405151232 is 232151504751.

157405151232 is a `hidden beast` number, since 1 + 5 + 7 + 405 + 15 + 1 + 232 = 666.

It is a super-2 number, since 2×1574051512322 (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 445906768 + ... + 445907120.

Almost surely, 2157405151232 is an apocalyptic number.

157405151232 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 157405151232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270230102688).

157405151232 is an abundant number, since it is smaller than the sum of its proper divisors (383055054144).

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

157405151232 is an frugal number, since it uses more digits than its factorization.

157405151232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

Adding to 157405151232 its reverse (232151504751), we get a palindrome (389556655983).

The spelling of 157405151232 in words is "one hundred fifty-seven billion, four hundred five million, one hundred fifty-one thousand, two hundred thirty-two".