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12808956072 = 23311712572659
BaseRepresentation
bin10111110110111100…
…10010100010101000
31020001200022101110110
423323132102202220
5202213043043242
65515004214320
7632263221153
oct137336224250
936050271413
1012808956072
11548335a310
12259583a3a0
131291932063
14897238c9a
154ee7b639c
hex2fb7928a8

12808956072 has 128 divisors (see below), whose sum is σ = 35576755200. Its totient is φ = 3810508800.

The previous prime is 12808956071. The next prime is 12808956103. The reversal of 12808956072 is 27065980821.

It is not an unprimeable number, because it can be changed into a prime (12808956071) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4815879 + ... + 4818537.

It is an arithmetic number, because the mean of its divisors is an integer number (277943400).

Almost surely, 212808956072 is an apocalyptic number.

12808956072 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 12808956072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17788377600).

12808956072 is an abundant number, since it is smaller than the sum of its proper divisors (22767799128).

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

12808956072 is a wasteful number, since it uses less digits than its factorization.

12808956072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3007 (or 3003 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 48.

The spelling of 12808956072 in words is "twelve billion, eight hundred eight million, nine hundred fifty-six thousand, seventy-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 71 88 132 142 213 257 264 284 426 514 568 771 781 852 1028 1542 1562 1704 2056 2343 2659 2827 3084 3124 4686 5318 5654 6168 6248 7977 8481 9372 10636 11308 15954 16962 18247 18744 21272 22616 29249 31908 33924 36494 54741 58498 63816 67848 72988 87747 109482 116996 145976 175494 188789 200717 218964 233992 350988 377578 401434 437928 566367 602151 683363 701976 755156 802868 1132734 1204302 1366726 1510312 1605736 2050089 2076679 2265468 2408604 2733452 4100178 4153358 4530936 4817208 5466904 6230037 7516993 8200356 8306716 12460074 15033986 16400712 16613432 22550979 24920148 30067972 45101958 48518773 49840296 60135944 90203916 97037546 145556319 180407832 194075092 291112638 388150184 533706503 582225276 1067413006 1164450552 1601119509 2134826012 3202239018 4269652024 6404478036 12808956072