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12601034432 = 267216724061
BaseRepresentation
bin10111011110001010…
…01000011011000000
31012112012001212120222
423233011020123000
5201301331100212
65442215522212
7624160011500
oct135705103300
935465055528
1012601034432
115386a56748
122538089368
13125a8331bc
14877793a00
154db3e4c72
hex2ef1486c0

12601034432 has 84 divisors (see below), whose sum is σ = 29263049424. Its totient is φ = 5367882240.

The previous prime is 12601034431. The next prime is 12601034437. The reversal of 12601034432 is 23443010621.

It is not an unprimeable number, because it can be changed into a prime (12601034431) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 511682 + ... + 535742.

It is an arithmetic number, because the mean of its divisors is an integer number (348369636).

Almost surely, 212601034432 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 12601034432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14631524712).

12601034432 is an abundant number, since it is smaller than the sum of its proper divisors (16662014992).

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

12601034432 is a wasteful number, since it uses less digits than its factorization.

12601034432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24254 (or 24237 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The spelling of 12601034432 in words is "twelve billion, six hundred one million, thirty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 167 196 224 334 392 448 668 784 1169 1336 1568 2338 2672 3136 4676 5344 8183 9352 10688 16366 18704 24061 32732 37408 48122 65464 74816 96244 130928 168427 192488 261856 336854 384976 523712 673708 769952 1178989 1347416 1539904 2357978 2694832 4018187 4715956 5389664 8036374 9431912 10779328 16072748 18863824 28127309 32145496 37727648 56254618 64290992 75455296 112509236 128581984 196891163 225018472 257163968 393782326 450036944 787564652 900073888 1575129304 1800147776 3150258608 6300517216 12601034432