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315520160742 = 23243349698147
BaseRepresentation
bin1001001011101100111…
…01111001001111100110
31010011102010211212211100
410211312131321033212
520132141130120432
6400540432020530
731536612054363
oct4456635711746
91104363755740
10315520160742
111118a19a5826
1251197091746
13239a436b387
14113b248946a
158319ec007c
hex49767793e6

315520160742 has 48 divisors (see below), whose sum is σ = 685427848560. Its totient is φ = 104896498176.

The previous prime is 315520160741. The next prime is 315520160749. The reversal of 315520160742 is 247061025513.

315520160742 is a `hidden beast` number, since 3 + 1 + 5 + 5 + 2 + 0 + 1 + 607 + 42 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 315520160697 and 315520160706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (315520160741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38724313 + ... + 38732459.

It is an arithmetic number, because the mean of its divisors is an integer number (14279746845).

Almost surely, 2315520160742 is an apocalyptic number.

315520160742 is an abundant number, since it is smaller than the sum of its proper divisors (369907687818).

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

315520160742 is a wasteful number, since it uses less digits than its factorization.

315520160742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13557 (or 13554 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 315520160742 in words is "three hundred fifteen billion, five hundred twenty million, one hundred sixty thousand, seven hundred forty-two".

Divisors: 1 2 3 6 9 18 433 866 1299 2598 3897 4969 7794 8147 9938 14907 16294 24441 29814 44721 48882 73323 89442 146646 2151577 3527651 4303154 6454731 7055302 10582953 12909462 19364193 21165906 31748859 38728386 40482443 63497718 80964886 121447329 242894658 364341987 728683974 17528897819 35057795638 52586693457 105173386914 157760080371 315520160742