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157801157010 = 232572390712007
BaseRepresentation
bin1001001011110110101…
…1101001000110010010
3120002022102201100110200
42102331223221012102
510041134044011020
6200254242240030
714254313463150
oct2227553510622
9502272640420
10157801157010
1160a17703952
12266bb356016
1311b5a851ab3
1478cd8983d0
1541888ed590
hex24bdae9192

157801157010 has 192 divisors, whose sum is σ = 489861844992. Its totient is φ = 34459717248.

The previous prime is 157801157009. The next prime is 157801157011. The reversal of 157801157010 is 10751108751.

157801157010 is a `hidden beast` number, since 1 + 5 + 7 + 80 + 1 + 1 + 570 + 1 + 0 = 666.

157801157010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (157801157009) and next prime (157801157011).

It is not an unprimeable number, because it can be changed into a prime (157801157011) 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 95 ways as a sum of consecutive naturals, for example, 13136427 + ... + 13148433.

It is an arithmetic number, because the mean of its divisors is an integer number (2551363776).

Almost surely, 2157801157010 is an apocalyptic number.

157801157010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 157801157010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244930922496).

157801157010 is an abundant number, since it is smaller than the sum of its proper divisors (332060687982).

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

157801157010 is a wasteful number, since it uses less digits than its factorization.

157801157010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12957 (or 12954 counting only the distinct ones).

The product of its (nonzero) digits is 9800, while the sum is 36.

The spelling of 157801157010 in words is "one hundred fifty-seven billion, eight hundred one million, one hundred fifty-seven thousand, ten".