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13992052256 = 2571346710289
BaseRepresentation
bin11010000011111110…
…11100011000100000
31100010010111220022122
431001333130120200
5212123431133011
610232230123412
71003510324160
oct150177343040
940103456278
1013992052256
115a3016aa56
122865ab0568
13141ca88480
1496a4085a0
1556d5b33db
hex341fdc620

13992052256 has 96 divisors (see below), whose sum is σ = 33979720320. Its totient is φ = 5522927616.

The previous prime is 13992052241. The next prime is 13992052301. The reversal of 13992052256 is 65225029931.

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, 1354760 + ... + 1365048.

It is an arithmetic number, because the mean of its divisors is an integer number (353955420).

Almost surely, 213992052256 is an apocalyptic number.

13992052256 is a gapful number since it is divisible by the number (16) 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 13992052256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16989860160).

13992052256 is an abundant number, since it is smaller than the sum of its proper divisors (19987668064).

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

13992052256 is a wasteful number, since it uses less digits than its factorization.

13992052256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10786 (or 10778 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 44.

The spelling of 13992052256 in words is "thirteen billion, nine hundred ninety-two million, fifty-two thousand, two hundred fifty-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 91 104 112 182 208 224 364 416 467 728 934 1456 1868 2912 3269 3736 6071 6538 7472 10289 12142 13076 14944 20578 24284 26152 41156 42497 48568 52304 72023 82312 84994 97136 104608 133757 144046 164624 169988 194272 267514 288092 329248 339976 535028 576184 679952 936299 1070056 1152368 1359904 1872598 2140112 2304736 3745196 4280224 4804963 7490392 9609926 14980784 19219852 29961568 33634741 38439704 62464519 67269482 76879408 124929038 134538964 153758816 249858076 269077928 437251633 499716152 538155856 874503266 999432304 1076311712 1749006532 1998864608 3498013064 6996026128 13992052256