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31553968368 = 24313222317443
BaseRepresentation
bin11101011000110000…
…110101100011110000
310000110001100200020010
4131120300311203300
51004110303441433
622255023014520
72164636206606
oct353060654360
9100401320203
1031553968368
111242243550a
12614743a440
132c8b301b00
141754999876
15c4a283e63
hex758c358f0

31553968368 has 120 divisors (see below), whose sum is σ = 88667991552. Its totient is φ = 9664821504.

The previous prime is 31553968349. The next prime is 31553968399. The reversal of 31553968368 is 86386935513.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1800255 + ... + 1817697.

Almost surely, 231553968368 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 31553968368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44333995776).

31553968368 is an abundant number, since it is smaller than the sum of its proper divisors (57114023184).

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

31553968368 is a wasteful number, since it uses less digits than its factorization.

31553968368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17703 (or 17684 counting only the distinct ones).

The product of its digits is 13996800, while the sum is 57.

The spelling of 31553968368 in words is "thirty-one billion, five hundred fifty-three million, nine hundred sixty-eight thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 169 208 223 312 338 446 507 624 669 676 892 1014 1338 1352 1784 2028 2676 2704 2899 3568 4056 5352 5798 8112 8697 10704 11596 17394 17443 23192 34788 34886 37687 46384 52329 69576 69772 75374 104658 113061 139152 139544 150748 209316 226122 226759 279088 301496 418632 452244 453518 602992 680277 837264 904488 907036 1360554 1808976 1814072 2721108 2947867 3628144 3889789 5442216 5895734 7779578 8843601 10884432 11669367 11791468 15559156 17687202 23338734 23582936 31118312 35374404 46677468 47165872 50567257 62236624 70748808 93354936 101134514 141497616 151701771 186709872 202269028 303403542 404538056 606807084 657374341 809076112 1213614168 1314748682 1972123023 2427228336 2629497364 3944246046 5258994728 7888492092 10517989456 15776984184 31553968368