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12627690432 = 26373191747
BaseRepresentation
bin10111100001010101…
…10100001111000000
31012121001020010202020
423300222310033000
5201330142043212
65445011121440
7624632412000
oct136052641700
935531203666
1012627690432
1153a00027a5
122544ba3280
131263207096
1487b132000
154dd90cd8c
hex2f0ab43c0

12627690432 has 112 divisors (see below), whose sum is σ = 38963193600. Its totient is φ = 3607892736.

The previous prime is 12627690431. The next prime is 12627690433. The reversal of 12627690432 is 23409672621.

It is an interprime number because it is at equal distance from previous prime (12627690431) and next prime (12627690433).

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12627690431) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30018 + ... + 161729.

Almost surely, 212627690432 is an apocalyptic number.

12627690432 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 12627690432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19481596800).

12627690432 is an abundant number, since it is smaller than the sum of its proper divisors (26335503168).

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

12627690432 is an equidigital number, since it uses as much as digits as its factorization.

12627690432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191783 (or 191759 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The spelling of 12627690432 in words is "twelve billion, six hundred twenty-seven million, six hundred ninety thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 147 168 192 196 224 294 336 343 392 448 588 672 686 784 1029 1176 1344 1372 1568 2058 2352 2744 3136 4116 4704 5488 8232 9408 10976 16464 21952 32928 65856 191747 383494 575241 766988 1150482 1342229 1533976 2300964 2684458 3067952 4026687 4601928 5368916 6135904 8053374 9203856 9395603 10737832 12271808 16106748 18407712 18791206 21475664 28186809 32213496 36815424 37582412 42951328 56373618 64426992 65769221 75164824 85902656 112747236 128853984 131538442 150329648 197307663 225494472 257707968 263076884 300659296 394615326 450988944 526153768 601318592 789230652 901977888 1052307536 1578461304 1803955776 2104615072 3156922608 4209230144 6313845216 12627690432