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12820851072 = 2735412193
BaseRepresentation
bin10111111000010111…
…01010100110000000
31020002111200201100000
423330023222212000
5202224114213242
65520111200000
7632466302361
oct137413524600
936074621300
1012820851072
11548a044197
122599816000
131294238313
14898a53b68
15500865a4c
hex2fc2ea980

12820851072 has 96 divisors (see below), whose sum is σ = 38259847080. Its totient is φ = 4273606656.

The previous prime is 12820851031. The next prime is 12820851089. The reversal of 12820851072 is 27015802821.

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

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 11 ways as a sum of consecutive naturals, for example, 174993 + ... + 237200.

Almost surely, 212820851072 is an apocalyptic number.

12820851072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12820851072 is an abundant number, since it is smaller than the sum of its proper divisors (25438996008).

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

12820851072 is an frugal number, since it uses more digits than its factorization.

12820851072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412222 (or 412198 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The spelling of 12820851072 in words is "twelve billion, eight hundred twenty million, eight hundred fifty-one thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 288 324 384 432 486 576 648 864 972 1152 1296 1728 1944 2592 3456 3888 5184 7776 10368 15552 31104 412193 824386 1236579 1648772 2473158 3297544 3709737 4946316 6595088 7419474 9892632 11129211 13190176 14838948 19785264 22258422 26380352 29677896 33387633 39570528 44516844 52760704 59355792 66775266 79141056 89033688 100162899 118711584 133550532 158282112 178067376 200325798 237423168 267101064 356134752 400651596 474846336 534202128 712269504 801303192 1068404256 1424539008 1602606384 2136808512 3205212768 4273617024 6410425536 12820851072