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12693407808 = 263233192723
BaseRepresentation
bin10111101001001011…
…00000100001000000
31012202121212221001010
423310211200201000
5201444003022213
65455315440520
7626361120564
oct136445404100
935677787033
1012693407808
115424109184
122562bb6140
131273a064c3
14885b5b6a4
154e458eac3
hex2f4960840

12693407808 has 112 divisors (see below), whose sum is σ = 36175712256. Its totient is φ = 3916577280.

The previous prime is 12693407743. The next prime is 12693407813. The reversal of 12693407808 is 80870439621.

It is a super-2 number, since 2×126934078082 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90535 + ... + 183257.

Almost surely, 212693407808 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 12693407808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18087856128).

12693407808 is an abundant number, since it is smaller than the sum of its proper divisors (23482304448).

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

12693407808 is a wasteful number, since it uses less digits than its factorization.

12693407808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92792 (or 92782 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The spelling of 12693407808 in words is "twelve billion, six hundred ninety-three million, four hundred seven thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 31 32 46 48 62 64 69 92 93 96 124 138 184 186 192 248 276 368 372 496 552 713 736 744 992 1104 1426 1472 1488 1984 2139 2208 2852 2976 4278 4416 5704 5952 8556 11408 17112 22816 34224 45632 68448 92723 136896 185446 278169 370892 556338 741784 1112676 1483568 2132629 2225352 2874413 2967136 4265258 4450704 5748826 5934272 6397887 8530516 8623239 8901408 11497652 12795774 17061032 17246478 17802816 22995304 25591548 34122064 34492956 45990608 51183096 66111499 68244128 68985912 91981216 102366192 132222998 136488256 137971824 183962432 198334497 204732384 264445996 275943648 396668994 409464768 528891992 551887296 793337988 1057783984 1586675976 2115567968 3173351952 4231135936 6346703904 12693407808