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157015753704 = 2332671371931231
BaseRepresentation
bin1001001000111011011…
…1100100001111101000
3120000021200211201200100
42102032313210033220
510033032013104304
6200044304305400
714225665612455
oct2221667441750
9500250751610
10157015753704
1160654332807
1226520312260
1311a63c0cb04
14785744c82c
15413e9ab439
hex248ede43e8

157015753704 has 192 divisors, whose sum is σ = 437355959040. Its totient is φ = 50874531840.

The previous prime is 157015753693. The next prime is 157015753729. The reversal of 157015753704 is 407357510751.

157015753704 is a `hidden beast` number, since 1 + 5 + 7 + 0 + 1 + 575 + 3 + 70 + 4 = 666.

157015753704 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1570157537042 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 157015753704.

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 47 ways as a sum of consecutive naturals, for example, 127550769 + ... + 127551999.

It is an arithmetic number, because the mean of its divisors is an integer number (2277895620).

Almost surely, 2157015753704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157015753704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218677979520).

157015753704 is an abundant number, since it is smaller than the sum of its proper divisors (280340205336).

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

157015753704 is a wasteful number, since it uses less digits than its factorization.

157015753704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1640 (or 1633 counting only the distinct ones).

The product of its (nonzero) digits is 514500, while the sum is 45.

The spelling of 157015753704 in words is "one hundred fifty-seven billion, fifteen million, seven hundred fifty-three thousand, seven hundred four".