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13957864640 = 265235473467
BaseRepresentation
bin11001111111111010…
…00001110011000000
31100000202011222201122
430333331001303000
5212041203132030
610225005251412
71002613614626
oct147775016300
940022158648
1013957864640
115a1293a325
122856563b68
131415978405
14965a69516
1556a5ad8e5
hex33ff41cc0

13957864640 has 112 divisors (see below), whose sum is σ = 34755685632. Its totient is φ = 5329099776.

The previous prime is 13957864619. The next prime is 13957864673. The reversal of 13957864640 is 4646875931.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4024187 + ... + 4027653.

Almost surely, 213957864640 is an apocalyptic number.

13957864640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13957864640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17377842816).

13957864640 is an abundant number, since it is smaller than the sum of its proper divisors (20797820992).

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

13957864640 is a wasteful number, since it uses less digits than its factorization.

13957864640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4054 (or 4044 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 53.

The spelling of 13957864640 in words is "thirteen billion, nine hundred fifty-seven million, eight hundred sixty-four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 115 160 184 230 320 368 460 547 736 920 1094 1472 1840 2188 2735 3467 3680 4376 5470 6934 7360 8752 10940 12581 13868 17335 17504 21880 25162 27736 34670 35008 43760 50324 55472 62905 69340 79741 87520 100648 110944 125810 138680 159482 175040 201296 221888 251620 277360 318964 398705 402592 503240 554720 637928 797410 805184 1006480 1109440 1275856 1594820 1896449 2012960 2551712 3189640 3792898 4025920 5103424 6379280 7585796 9482245 12758560 15171592 18964490 25517120 30343184 37928980 43618327 60686368 75857960 87236654 121372736 151715920 174473308 218091635 303431840 348946616 436183270 606863680 697893232 872366540 1395786464 1744733080 2791572928 3489466160 6978932320 13957864640