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15970734848 = 281923142759
BaseRepresentation
bin11101101111110111…
…00001001100000000
31112020000202101120002
432313323201030000
5230202002003343
611200432135132
71103525002115
oct166773411400
945200671502
1015970734848
116856077522
1231186974a8
1316769aa883
14ab711490c
156371648b8
hex3b7ee1300

15970734848 has 72 divisors (see below), whose sum is σ = 35016172800. Its totient is φ = 7236117504.

The previous prime is 15970734841. The next prime is 15970734887. The reversal of 15970734848 is 84843707951.

15970734848 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 = 15970734793 and 15970734802.

It is not an unprimeable number, because it can be changed into a prime (15970734841) 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 7 ways as a sum of consecutive naturals, for example, 40493 + ... + 183251.

Almost surely, 215970734848 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 15970734848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17508086400).

15970734848 is an abundant number, since it is smaller than the sum of its proper divisors (19045437952).

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

15970734848 is a wasteful number, since it uses less digits than its factorization.

15970734848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142817 (or 142803 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 56.

The spelling of 15970734848 in words is "fifteen billion, nine hundred seventy million, seven hundred thirty-four thousand, eight hundred forty-eight".

Divisors: 1 2 4 8 16 19 23 32 38 46 64 76 92 128 152 184 256 304 368 437 608 736 874 1216 1472 1748 2432 2944 3496 4864 5888 6992 13984 27968 55936 111872 142759 285518 571036 1142072 2284144 2712421 3283457 4568288 5424842 6566914 9136576 10849684 13133828 18273152 21699368 26267656 36546304 43398736 52535312 62385683 86797472 105070624 124771366 173594944 210141248 249542732 347189888 420282496 499085464 694379776 840564992 998170928 1996341856 3992683712 7985367424 15970734848