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12252750432 = 2531310918999
BaseRepresentation
bin10110110100101001…
…00010001001100000
31011121220201012202120
423122110202021200
5200043201003212
65343454544240
7612430442316
oct133224421140
934556635676
1012252750432
1152183a382a
12245b508080
13120362b0b0
148434120b6
154baa4988c
hex2da522260

12252750432 has 96 divisors (see below), whose sum is σ = 34673184000. Its totient is φ = 3766202880.

The previous prime is 12252750413. The next prime is 12252750449. The reversal of 12252750432 is 23405725221.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 12252750393 and 12252750402.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1357069 + ... + 1366067.

It is an arithmetic number, because the mean of its divisors is an integer number (361179000).

Almost surely, 212252750432 is an apocalyptic number.

12252750432 is a gapful number since it is divisible by the number (12) 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 12252750432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17336592000).

12252750432 is an abundant number, since it is smaller than the sum of its proper divisors (22420433568).

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

12252750432 is a wasteful number, since it uses less digits than its factorization.

12252750432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10116 (or 10108 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 33.

The spelling of 12252750432 in words is "twelve billion, two hundred fifty-two million, seven hundred fifty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1091 1248 2182 3273 4364 6546 8728 8999 13092 14183 17456 17998 26184 26997 28366 34912 35996 42549 52368 53994 56732 71992 85098 104736 107988 113464 116987 143984 170196 215976 226928 233974 287968 340392 350961 431952 453856 467948 680784 701922 863904 935896 1361568 1403844 1871792 2807688 3743584 5615376 9817909 11230752 19635818 29453727 39271636 58907454 78543272 117814908 127632817 157086544 235629816 255265634 314173088 382898451 471259632 510531268 765796902 942519264 1021062536 1531593804 2042125072 3063187608 4084250144 6126375216 12252750432