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13707974784 = 273711294517
BaseRepresentation
bin11001100010000111…
…10001100010000000
31022101022222021021210
430301003301202000
5211033220143114
610144121250120
7663460602030
oct146103614200
938338867253
1013707974784
1158a4881389
1227a6933940
1313a5c73baa
149407bb8c0
1555369c259
hex3310f1880

13707974784 has 128 divisors (see below), whose sum is σ = 41659574400. Its totient is φ = 3912228864.

The previous prime is 13707974779. The next prime is 13707974807. The reversal of 13707974784 is 48747970731.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

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, 3032494 + ... + 3037010.

It is an arithmetic number, because the mean of its divisors is an integer number (325465425).

Almost surely, 213707974784 is an apocalyptic number.

13707974784 is a gapful number since it is divisible by the number (14) 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 13707974784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20829787200).

13707974784 is an abundant number, since it is smaller than the sum of its proper divisors (27951599616).

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

13707974784 is a wasteful number, since it uses less digits than its factorization.

13707974784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5670 (or 5658 counting only the distinct ones).

The product of its (nonzero) digits is 8297856, while the sum is 57.

The spelling of 13707974784 in words is "thirteen billion, seven hundred seven million, nine hundred seventy-four thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 672 896 1129 1344 2258 2688 3387 4516 4517 6774 7903 9032 9034 13548 13551 15806 18064 18068 23709 27096 27102 31612 31619 36128 36136 47418 54192 54204 63224 63238 72256 72272 94836 94857 108384 108408 126448 126476 144512 144544 189672 189714 216768 216816 252896 252952 289088 379344 379428 433536 433632 505792 505904 578176 758688 758856 867264 1011584 1011808 1517376 1517712 1734528 2023616 3034752 3035424 4047232 5099693 6070848 10199386 12141696 15299079 20398772 30598158 35697851 40797544 61196316 71395702 81595088 107093553 122392632 142791404 163190176 214187106 244785264 285582808 326380352 428374212 489570528 571165616 652760704 856748424 979141056 1142331232 1713496848 1958282112 2284662464 3426993696 4569324928 6853987392 13707974784