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13977884544 = 273132215389
BaseRepresentation
bin11010000010010010…
…11001011110000000
31100002010212002212120
431001021121132000
5212111314301134
610231002324240
71003246025661
oct150111313600
940063762776
1013977884544
115a231735a8
1228611b9680
131419b67900
1496859b368
1556c215649
hex341259780

13977884544 has 96 divisors (see below), whose sum is σ = 40204697400. Its totient is φ = 4300867584.

The previous prime is 13977884539. The next prime is 13977884617. The reversal of 13977884544 is 44548877931.

It is a tau number, because it is divible by the number of its divisors (96).

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 11 ways as a sum of consecutive naturals, for example, 42799 + ... + 172590.

Almost surely, 213977884544 is an apocalyptic number.

It is an amenable number.

13977884544 is an abundant number, since it is smaller than the sum of its proper divisors (26226812856).

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

13977884544 is a wasteful number, since it uses less digits than its factorization.

13977884544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215432 (or 215407 counting only the distinct ones).

The product of its digits is 27095040, while the sum is 60.

The spelling of 13977884544 in words is "thirteen billion, nine hundred seventy-seven million, eight hundred eighty-four thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 169 192 208 312 338 384 416 507 624 676 832 1014 1248 1352 1664 2028 2496 2704 4056 4992 5408 8112 10816 16224 21632 32448 64896 215389 430778 646167 861556 1292334 1723112 2584668 2800057 3446224 5169336 5600114 6892448 8400171 10338672 11200228 13784896 16800342 20677344 22400456 27569792 33600684 36400741 41354688 44800912 67201368 72801482 82709376 89601824 109202223 134402736 145602964 179203648 218404446 268805472 291205928 358407296 436808892 537610944 582411856 873617784 1075221888 1164823712 1747235568 2329647424 3494471136 4659294848 6988942272 13977884544