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157948535250 = 23353114361811
BaseRepresentation
bin1001001100011001110…
…1110110000111010010
3120002200201000221102000
42103012131312013102
510041434311112000
6200321025134430
714261053253262
oct2230635660722
9502621027360
10157948535250
1160a92915350
122674078a416
1311b8224355c
14790529d7a2
154196811000
hex24c67761d2

157948535250 has 512 divisors, whose sum is σ = 497608151040. Its totient is φ = 36741600000.

The previous prime is 157948535201. The next prime is 157948535323. The reversal of 157948535250 is 52535849751.

157948535250 is a `hidden beast` number, since 1 + 5 + 79 + 48 + 5 + 3 + 525 + 0 = 666.

157948535250 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a Curzon number.

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 255 ways as a sum of consecutive naturals, for example, 194757345 + ... + 194758155.

It is an arithmetic number, because the mean of its divisors is an integer number (971890920).

Almost surely, 2157948535250 is an apocalyptic number.

157948535250 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 157948535250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248804075520).

157948535250 is an abundant number, since it is smaller than the sum of its proper divisors (339659615790).

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

157948535250 is a wasteful number, since it uses less digits than its factorization.

157948535250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 952 (or 936 counting only the distinct ones).

The product of its (nonzero) digits is 7560000, while the sum is 54.

The spelling of 157948535250 in words is "one hundred fifty-seven billion, nine hundred forty-eight million, five hundred thirty-five thousand, two hundred fifty".