Search a number
-
+
31964864646 = 23111331238767
BaseRepresentation
bin11101110001010000…
…010010000010000110
310001111200112100221210
4131301100102002012
51010431001132041
622403501552250
72211055603131
oct356120220206
9101450470853
1031964864646
1112613372a10
126240b75686
133025489bc0
141793399218
15c7139b016
hex771412086

31964864646 has 96 divisors (see below), whose sum is σ = 77609193984. Its totient is φ = 8652571200.

The previous prime is 31964864627. The next prime is 31964864713. The reversal of 31964864646 is 64646846913.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 805155 + ... + 843921.

It is an arithmetic number, because the mean of its divisors is an integer number (808429104).

Almost surely, 231964864646 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31964864646, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38804596992).

31964864646 is an abundant number, since it is smaller than the sum of its proper divisors (45644329338).

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

31964864646 is a wasteful number, since it uses less digits than its factorization.

31964864646 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38858 (or 38827 counting only the distinct ones).

The product of its digits is 17915904, while the sum is 57.

The spelling of 31964864646 in words is "thirty-one billion, nine hundred sixty-four million, eight hundred sixty-four thousand, six hundred forty-six".

Divisors: 1 2 3 6 11 13 22 26 31 33 39 62 66 78 93 143 186 286 341 403 429 682 806 858 961 1023 1209 1922 2046 2418 2883 4433 5766 8866 10571 12493 13299 21142 24986 26598 31713 37479 38767 63426 74958 77534 116301 137423 232602 274846 412269 426437 503971 824538 852874 1007942 1201777 1279311 1511913 2403554 2558622 3023826 3605331 5543681 7210662 11087362 13219547 15623101 16631043 26439094 31246202 33262086 37255087 39658641 46869303 74510174 79317282 93738606 111765261 171854111 223530522 343708222 409805957 484316131 515562333 819611914 968632262 1031124666 1229417871 1452948393 2458835742 2905896786 5327477441 10654954882 15982432323 31964864646