Search a number
-
+
31393636320 = 2535197331997
BaseRepresentation
bin11101001111001101…
…001101111111100000
310000000212122222000010
4131033031031333200
51003243232330240
622231054324520
72160651335334
oct351715157740
9100025588003
1031393636320
111234a986692
1261017b9740
132c64026187
14173b5817c4
15c3b163280
hex74f34dfe0

31393636320 has 96 divisors (see below), whose sum is σ = 99392233248. Its totient is φ = 8329115648.

The previous prime is 31393636283. The next prime is 31393636321. The reversal of 31393636320 is 2363639313.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31393636321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71439 + ... + 260558.

It is an arithmetic number, because the mean of its divisors is an integer number (1035335763).

Almost surely, 231393636320 is an apocalyptic number.

31393636320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31393636320 is an abundant number, since it is smaller than the sum of its proper divisors (67998596928).

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

31393636320 is a wasteful number, since it uses less digits than its factorization.

31393636320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332212 (or 332204 counting only the distinct ones).

The product of its (nonzero) digits is 157464, while the sum is 39.

The spelling of 31393636320 in words is "thirty-one billion, three hundred ninety-three million, six hundred thirty-six thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 197 240 394 480 591 788 985 1182 1576 1970 2364 2955 3152 3940 4728 5910 6304 7880 9456 11820 15760 18912 23640 31520 47280 94560 331997 663994 995991 1327988 1659985 1991982 2655976 3319970 3983964 4979955 5311952 6639940 7967928 9959910 10623904 13279880 15935856 19919820 26559760 31871712 39839640 53119520 65403409 79679280 130806818 159358560 196210227 261613636 327017045 392420454 523227272 654034090 784840908 981051135 1046454544 1308068180 1569681816 1962102270 2092909088 2616136360 3139363632 3924204540 5232272720 6278727264 7848409080 10464545440 15696818160 31393636320