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13954291056 = 2432737331811
BaseRepresentation
bin11001111111011110…
…11001010101110000
31100000111110102200200
430333233121111300
5212034244303211
610224400515200
71002541342206
oct147757312560
940014412620
1013954291056
115a10919452
12285531bb00
131414cc6974
149653b9076
1556a104b56
hex33fbd9570

13954291056 has 120 divisors (see below), whose sum is σ = 39663498576. Its totient is φ = 4578923520.

The previous prime is 13954291031. The next prime is 13954291123. The reversal of 13954291056 is 65019245931.

13954291056 is a `hidden beast` number, since 13 + 9 + 542 + 91 + 0 + 5 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7704391 + ... + 7706201.

Almost surely, 213954291056 is an apocalyptic number.

13954291056 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 13954291056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19831749288).

13954291056 is an abundant number, since it is smaller than the sum of its proper divisors (25709207520).

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

13954291056 is a wasteful number, since it uses less digits than its factorization.

13954291056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2631 (or 2622 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The spelling of 13954291056 in words is "thirteen billion, nine hundred fifty-four million, two hundred ninety-one thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 73 144 146 219 292 438 584 657 733 876 1168 1314 1466 1752 1811 2199 2628 2932 3504 3622 4398 5256 5433 5864 6597 7244 8796 10512 10866 11728 13194 14488 16299 17592 21732 26388 28976 32598 35184 43464 52776 53509 65196 86928 105552 107018 130392 132203 160527 214036 260784 264406 321054 396609 428072 481581 528812 642108 793218 856144 963162 1057624 1189827 1284216 1327463 1586436 1926324 2115248 2379654 2568432 2654926 3172872 3852648 3982389 4759308 5309852 6345744 7705296 7964778 9518616 10619704 11947167 15929556 19037232 21239408 23894334 31859112 47788668 63718224 95577336 96904799 191154672 193809598 290714397 387619196 581428794 775238392 872143191 1162857588 1550476784 1744286382 2325715176 3488572764 4651430352 6977145528 13954291056