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157322809728 = 2732747443937
BaseRepresentation
bin1001001010000100101…
…0111001000110000000
3120001002002121210100200
42102201022321012000
510034144114402403
6200134553445200
714236414550520
oct2224112710600
9501062553320
10157322809728
11607a1696517
12265a7110800
1311ab270b476
14788613b680
15415b910ca3
hex24a12b9180

157322809728 has 384 divisors, whose sum is σ = 530152197120. Its totient is φ = 43846852608.

The previous prime is 157322809727. The next prime is 157322809729. The reversal of 157322809728 is 827908223751.

157322809728 is a `hidden beast` number, since 157 + 322 + 80 + 97 + 2 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (157322809727) and next prime (157322809729).

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157322809727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 167900076 + ... + 167901012.

It is an arithmetic number, because the mean of its divisors is an integer number (1380604680).

Almost surely, 2157322809728 is an apocalyptic number.

157322809728 is a gapful number since it is divisible by the number (18) 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 157322809728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265076098560).

157322809728 is an abundant number, since it is smaller than the sum of its proper divisors (372829387392).

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

157322809728 is a wasteful number, since it uses less digits than its factorization.

157322809728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1454 (or 1439 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 157322809728 in words is "one hundred fifty-seven billion, three hundred twenty-two million, eight hundred nine thousand, seven hundred twenty-eight".