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15990706656 = 253273975133
BaseRepresentation
bin11101110010001111…
…01101000111100000
31112021102100001201200
432321013231013200
5230222110103111
611202424201200
71104156523011
oct167107550740
945242301650
1015990706656
116866378651
123123309200
13167ab81202
14ab9a33008
15638cac256
hex3b91ed1e0

15990706656 has 72 divisors (see below), whose sum is σ = 45535712040. Its totient is φ = 5322951936.

The previous prime is 15990706649. The next prime is 15990706663. The reversal of 15990706656 is 65660709951.

It is an interprime number because it is at equal distance from previous prime (15990706649) and next prime (15990706663).

It is a tau number, because it is divible by the number of its divisors (72).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 175266 + ... + 250398.

It is an arithmetic number, because the mean of its divisors is an integer number (632440445).

Almost surely, 215990706656 is an apocalyptic number.

15990706656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15990706656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22767856020).

15990706656 is an abundant number, since it is smaller than the sum of its proper divisors (29545005384).

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

15990706656 is a wasteful number, since it uses less digits than its factorization.

15990706656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75888 (or 75877 counting only the distinct ones).

The product of its (nonzero) digits is 3061800, while the sum is 54.

The spelling of 15990706656 in words is "fifteen billion, nine hundred ninety million, seven hundred six thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 739 1478 2217 2956 4434 5912 6651 8868 11824 13302 17736 23648 26604 35472 53208 70944 75133 106416 150266 212832 225399 300532 450798 601064 676197 901596 1202128 1352394 1803192 2404256 2704788 3606384 5409576 7212768 10819152 21638304 55523287 111046574 166569861 222093148 333139722 444186296 499709583 666279444 888372592 999419166 1332558888 1776745184 1998838332 2665117776 3997676664 5330235552 7995353328 15990706656