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13928824520 = 2351323166467
BaseRepresentation
bin11001111100011100…
…01111111011001000
31022221201112121011122
430332032033323020
5212011234341040
610222051014412
71002112024562
oct147616177310
938851477148
1013928824520
1159a8505026
12284889a408
13140c94b300
14961c6a332
15567c741b5
hex33e38fec8

13928824520 has 96 divisors (see below), whose sum is σ = 35031294720. Its totient is φ = 4976974080.

The previous prime is 13928824471. The next prime is 13928824531. The reversal of 13928824520 is 2542882931.

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

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, 176327 + ... + 242793.

It is an arithmetic number, because the mean of its divisors is an integer number (364909320).

Almost surely, 213928824520 is an apocalyptic number.

13928824520 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 13928824520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17515647360).

13928824520 is an abundant number, since it is smaller than the sum of its proper divisors (21102470200).

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

13928824520 is a wasteful number, since it uses less digits than its factorization.

13928824520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66535 (or 66518 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 44.

The spelling of 13928824520 in words is "thirteen billion, nine hundred twenty-eight million, eight hundred twenty-four thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 31 40 52 62 65 104 124 130 155 169 248 260 310 338 403 520 620 676 806 845 1240 1352 1612 1690 2015 3224 3380 4030 5239 6760 8060 10478 16120 20956 26195 41912 52390 66467 104780 132934 209560 265868 332335 531736 664670 864071 1329340 1728142 2060477 2658680 3456284 4120954 4320355 6912568 8241908 8640710 10302385 11232923 16483816 17281420 20604770 22465846 26786201 34562840 41209540 44931692 53572402 56164615 82419080 89863384 107144804 112329230 133931005 214289608 224658460 267862010 348220613 449316920 535724020 696441226 1071448040 1392882452 1741103065 2785764904 3482206130 6964412260 13928824520