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13814604864 = 263379101197
BaseRepresentation
bin11001101110110101…
…00010010001000000
31022122202121122021000
430313122202101000
5211243014323424
610202450532000
7666224126634
oct146732422100
938582548230
1013814604864
115949a91115
122816597000
1313c2099408
14950a16dc4
1555cc113c9
hex3376a2440

13814604864 has 112 divisors (see below), whose sum is σ = 41126867200. Its totient is φ = 4546533888.

The previous prime is 13814604823. The next prime is 13814604877. The reversal of 13814604864 is 46840641831.

13814604864 is a `hidden beast` number, since 1 + 38 + 1 + 4 + 604 + 8 + 6 + 4 = 666.

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, 85914 + ... + 187110.

Almost surely, 213814604864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13814604864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20563433600).

13814604864 is an abundant number, since it is smaller than the sum of its proper divisors (27312262336).

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

13814604864 is a wasteful number, since it uses less digits than its factorization.

13814604864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101297 (or 101281 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 13814604864 in words is "thirteen billion, eight hundred fourteen million, six hundred four thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 79 96 108 144 158 192 216 237 288 316 432 474 576 632 711 864 948 1264 1422 1728 1896 2133 2528 2844 3792 4266 5056 5688 7584 8532 11376 15168 17064 22752 34128 45504 68256 101197 136512 202394 303591 404788 607182 809576 910773 1214364 1619152 1821546 2428728 2732319 3238304 3643092 4857456 5464638 6476608 7286184 7994563 9714912 10929276 14572368 15989126 19429824 21858552 23983689 29144736 31978252 43717104 47967378 58289472 63956504 71951067 87434208 95934756 127913008 143902134 174868416 191869512 215853201 255826016 287804268 383739024 431706402 511652032 575608536 767478048 863412804 1151217072 1534956096 1726825608 2302434144 3453651216 4604868288 6907302432 13814604864