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31798019916464 = 2417261112733351
BaseRepresentation
bin1110011101011100011011…
…01011101000001010110000
311011120212020200101020222112
413032232031223220022300
513131434321044311324
6151343450402024452
76461221401456044
oct716561553501260
9134525220336875
1031798019916464
11a14a5122a766a
123696804648128
131498704391499
147bd064ba6024
153a2215aa5c0e
hex1ceb8dae82b0

31798019916464 has 60 divisors (see below), whose sum is σ = 66518765281008. Its totient is φ = 14718466176000.

The previous prime is 31798019916433. The next prime is 31798019916469. The reversal of 31798019916464 is 46461991089713.

It is a super-2 number, since 2×317980199164642 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (68).

It is a junction number, because it is equal to n+sod(n) for n = 31798019916394 and 31798019916403.

It is not an unprimeable number, because it can be changed into a prime (31798019916469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56084612 + ... + 56648739.

Almost surely, 231798019916464 is an apocalyptic number.

31798019916464 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

31798019916464 is an abundant number, since it is smaller than the sum of its proper divisors (34720745364544).

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

31798019916464 is a wasteful number, since it uses less digits than its factorization.

31798019916464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112733454 (or 112733431 counting only the distinct ones).

The product of its (nonzero) digits is 70543872, while the sum is 68.

The spelling of 31798019916464 in words is "thirty-one trillion, seven hundred ninety-eight billion, nineteen million, nine hundred sixteen thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 17 34 61 68 122 136 244 272 289 488 578 976 1037 1156 2074 2312 4148 4624 8296 16592 17629 35258 70516 141032 282064 112733351 225466702 450933404 901866808 1803733616 1916466967 3832933934 6876734411 7665867868 13753468822 15331735736 27506937644 30663471472 32579938439 55013875288 65159876878 110027750576 116904484987 130319753756 233808969974 260639507512 467617939948 521279015024 935235879896 1870471759792 1987376244779 3974752489558 7949504979116 15899009958232 31798019916464