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31713388881216 = 26373481556561
BaseRepresentation
bin1110011010111110110010…
…10001110110010101000000
311011021202210121011012220120
413031133121101312111000
513124043010023144331
6151240532453140240
76452134224522000
oct715373121662500
9134252717135816
1031713388881216
11a117633291229
12368232592a680
131490737994133
147b8d16d72000
1539ee10c63796
hex1cd7d9476540

31713388881216 has 112 divisors (see below), whose sum is σ = 97852293398400. Its totient is φ = 9060968232960.

The previous prime is 31713388881211. The next prime is 31713388881227. The reversal of 31713388881216 is 61218888331713.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 31713388881216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31713388881211) 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 15 ways as a sum of consecutive naturals, for example, 240712425 + ... + 240844136.

Almost surely, 231713388881216 is an apocalyptic number.

It is an amenable number.

31713388881216 is an abundant number, since it is smaller than the sum of its proper divisors (66138904517184).

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

31713388881216 is an equidigital number, since it uses as much as digits as its factorization.

31713388881216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481556597 (or 481556573 counting only the distinct ones).

The product of its digits is 9289728, while the sum is 60.

The spelling of 31713388881216 in words is "thirty-one trillion, seven hundred thirteen billion, three hundred eighty-eight million, eight hundred eighty-one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 147 168 192 196 224 294 336 343 392 448 588 672 686 784 1029 1176 1344 1372 1568 2058 2352 2744 3136 4116 4704 5488 8232 9408 10976 16464 21952 32928 65856 481556561 963113122 1444669683 1926226244 2889339366 3370895927 3852452488 5778678732 6741791854 7704904976 10112687781 11557357464 13483583708 15409809952 20225375562 23114714928 23596271489 26967167416 30819619904 40450751124 46229429856 47192542978 53934334832 70788814467 80901502248 92458859712 94385085956 107868669664 141577628934 161803004496 165173900423 188770171912 215737339328 283155257868 323606008992 330347800846 377540343824 495521701269 566310515736 647212017984 660695601692 755080687648 991043402538 1132621031472 1321391203384 1510161375296 1982086805076 2265242062944 2642782406768 3964173610152 4530484125888 5285564813536 7928347220304 10571129627072 15856694440608 31713388881216