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157050383922432 = 28377411131943
BaseRepresentation
bin100011101101011000100100…
…010110000111010100000000
3202121001212111021200020000000
4203231120210112013110000
5131041103141241004212
61314003541140000000
745036341630250000
oct4355304426072400
9677055437606000
10157050383922432
114604a76a47a220
12157454bb990000
136982a316368a0
142aad3c9d60000
15132539305d1dc
hex8ed624587500

157050383922432 has 5760 divisors, whose sum is σ = 694064459827200. Its totient is φ = 34843029258240.

The previous prime is 157050383922427. The next prime is 157050383922437. The reversal of 157050383922432 is 234229383050751.

157050383922432 is a `hidden beast` number, since 1 + 5 + 7 + 0 + 5 + 0 + 3 + 8 + 392 + 243 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (157050383922427) and next prime (157050383922437).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157050383922437) by changing a digit.

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 639 ways as a sum of consecutive naturals, for example, 3652334509803 + ... + 3652334509845.

Almost surely, 2157050383922432 is an apocalyptic number.

157050383922432 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 157050383922432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347032229913600).

157050383922432 is an abundant number, since it is smaller than the sum of its proper divisors (537014075904768).

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

157050383922432 is an frugal number, since it uses more digits than its factorization.

157050383922432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 157050383922432 in words is "one hundred fifty-seven trillion, fifty billion, three hundred eighty-three million, nine hundred twenty-two thousand, four hundred thirty-two".