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12920867232 = 2537213211291
BaseRepresentation
bin11000000100010010…
…01100100110100000
31020100110220001201020
430002021030212200
5202430220222412
65534043005440
7635122362600
oct140211144640
936313801636
1012920867232
115530546879
122607209880
1312abb86290
148a804ac00
1550952018c
hex30224c9a0

12920867232 has 144 divisors (see below), whose sum is σ = 42489976032. Its totient is φ = 3407685120.

The previous prime is 12920867227. The next prime is 12920867257. The reversal of 12920867232 is 23276802921.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44494 + ... + 166797.

It is an arithmetic number, because the mean of its divisors is an integer number (295069278).

Almost surely, 212920867232 is an apocalyptic number.

12920867232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12920867232 is an abundant number, since it is smaller than the sum of its proper divisors (29569108800).

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

12920867232 is a wasteful number, since it uses less digits than its factorization.

12920867232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211331 (or 211316 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 12920867232 in words is "twelve billion, nine hundred twenty million, eight hundred sixty-seven thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 49 52 56 78 84 91 96 98 104 112 147 156 168 182 196 208 224 273 294 312 336 364 392 416 546 588 624 637 672 728 784 1092 1176 1248 1274 1456 1568 1911 2184 2352 2548 2912 3822 4368 4704 5096 7644 8736 10192 15288 20384 30576 61152 211291 422582 633873 845164 1267746 1479037 1690328 2535492 2746783 2958074 3380656 4437111 5070984 5493566 5916148 6761312 8240349 8874222 10141968 10353259 10987132 11832296 16480698 17748444 19227481 20283936 20706518 21974264 23664592 31059777 32961396 35496888 38454962 41413036 43948528 47329184 57682443 62119554 65922792 70993776 76909924 82826072 87897056 115364886 124239108 131845584 134592367 141987552 153819848 165652144 230729772 248478216 263691168 269184734 307639696 331304288 403777101 461459544 496956432 538369468 615279392 807554202 922919088 993912864 1076738936 1615108404 1845838176 2153477872 3230216808 4306955744 6460433616 12920867232