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12038582016 = 28331741693
BaseRepresentation
bin10110011011000111…
…00010111100000000
31011001222201022221000
423031203202330000
5144123334111031
65310324332000
7604220154516
oct131543427400
934058638830
1012038582016
11511851393a
1223bb844000
13119b152b16
14822bc24b6
154a6d423e6
hex2cd8e2f00

12038582016 has 72 divisors (see below), whose sum is σ = 35600225360. Its totient is φ = 4012858368.

The previous prime is 12038581979. The next prime is 12038582069. The reversal of 12038582016 is 61028583021.

It is a happy number.

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

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 863935 + ... + 877758.

Almost surely, 212038582016 is an apocalyptic number.

12038582016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12038582016 is an abundant number, since it is smaller than the sum of its proper divisors (23561643344).

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

12038582016 is an equidigital number, since it uses as much as digits as its factorization.

12038582016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1741718 (or 1741698 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 12038582016 in words is "twelve billion, thirty-eight million, five hundred eighty-two thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 576 768 864 1152 1728 2304 3456 6912 1741693 3483386 5225079 6966772 10450158 13933544 15675237 20900316 27867088 31350474 41800632 47025711 55734176 62700948 83601264 94051422 111468352 125401896 167202528 188102844 222936704 250803792 334405056 376205688 445873408 501607584 668810112 752411376 1003215168 1337620224 1504822752 2006430336 3009645504 4012860672 6019291008 12038582016