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157721814432 = 253271319383827
BaseRepresentation
bin1001001011100011110…
…0111110010110100000
3120002002220102022220200
42102320330332112200
510041003241030212
6200242325505200
714252331205530
oct2227074762640
9502086368820
10157721814432
1160986941676
1226698872200
1311b47291a20
1478c31234c0
1541819796dc
hex24b8f3e5a0

157721814432 has 576 divisors, whose sum is σ = 583302021120. Its totient is φ = 39257229312.

The previous prime is 157721814389. The next prime is 157721814449. The reversal of 157721814432 is 234418127751.

It is a happy number.

157721814432 is a `hidden beast` number, since 1 + 577 + 2 + 1 + 8 + 1 + 44 + 32 = 666.

157721814432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 190715203 + ... + 190716029.

It is an arithmetic number, because the mean of its divisors is an integer number (1012677120).

Almost surely, 2157721814432 is an apocalyptic number.

157721814432 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 157721814432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291651010560).

157721814432 is an abundant number, since it is smaller than the sum of its proper divisors (425580206688).

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

157721814432 is a wasteful number, since it uses less digits than its factorization.

157721814432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1265 (or 1254 counting only the distinct ones).

The product of its digits is 376320, while the sum is 45.

The spelling of 157721814432 in words is "one hundred fifty-seven billion, seven hundred twenty-one million, eight hundred fourteen thousand, four hundred thirty-two".