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15730157144 = 23133143113467
BaseRepresentation
bin11101010011001011…
…10010011001011000
31111121021001202222202
432221211302121120
5224203410012034
611120515505332
71064544062312
oct165145623130
944537052882
1015730157144
116742299979
12306bbb8248
131638bb6ac0
14a931ac7b2
15620e9247e
hex3a9972658

15730157144 has 64 divisors (see below), whose sum is σ = 33550218240. Its totient is φ = 6862423680.

The previous prime is 15730157143. The next prime is 15730157153. The reversal of 15730157144 is 44175103751.

It is a happy number.

15730157144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 15730157098 and 15730157107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15730157143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81899 + ... + 195365.

It is an arithmetic number, because the mean of its divisors is an integer number (524222160).

Almost surely, 215730157144 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 15730157144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16775109120).

15730157144 is an abundant number, since it is smaller than the sum of its proper divisors (17820061096).

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

15730157144 is a wasteful number, since it uses less digits than its factorization.

15730157144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113560 (or 113556 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 38.

The spelling of 15730157144 in words is "fifteen billion, seven hundred thirty million, one hundred fifty-seven thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 26 31 43 52 62 86 104 124 172 248 344 403 559 806 1118 1333 1612 2236 2666 3224 4472 5332 10664 17329 34658 69316 113467 138632 226934 453868 907736 1475071 2950142 3517477 4879081 5900284 7034954 9758162 11800568 14069908 19516324 28139816 39032648 45727201 63428053 91454402 126856106 151251511 182908804 253712212 302503022 365817608 507424424 605006044 1210012088 1966269643 3932539286 7865078572 15730157144