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13474434744 = 23321923714011
BaseRepresentation
bin11001000110010001…
…11000111010111000
31021210001112012120200
430203020320322320
5210043423402434
610105015522200
7654623543211
oct144310707270
937701465520
1013474434744
115794a70291
122740689360
131369775514
1491b788408
1553ce1a199
hex323238eb8

13474434744 has 144 divisors (see below), whose sum is σ = 39558818520. Its totient is φ = 4139786880.

The previous prime is 13474434739. The next prime is 13474434817. The reversal of 13474434744 is 44743447431.

13474434744 is a `hidden beast` number, since 134 + 7 + 4 + 43 + 474 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 13474434744.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 954699 + ... + 968709.

Almost surely, 213474434744 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 13474434744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19779409260).

13474434744 is an abundant number, since it is smaller than the sum of its proper divisors (26084383776).

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

13474434744 is a wasteful number, since it uses less digits than its factorization.

13474434744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14098 (or 14072 counting only the distinct ones).

The product of its digits is 1806336, while the sum is 45.

The spelling of 13474434744 in words is "thirteen billion, four hundred seventy-four million, four hundred thirty-four thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 37 38 57 72 74 76 111 114 148 152 171 222 228 296 333 342 361 444 456 666 684 703 722 888 1083 1332 1368 1406 1444 2109 2166 2664 2812 2888 3249 4218 4332 5624 6327 6498 8436 8664 12654 12996 13357 14011 16872 25308 25992 26714 28022 40071 42033 50616 53428 56044 80142 84066 106856 112088 120213 126099 160284 168132 240426 252198 266209 320568 336264 480852 504396 518407 532418 798627 961704 1008792 1036814 1064836 1555221 1597254 2073628 2129672 2395881 3110442 3194508 4147256 4665663 4791762 5057971 6220884 6389016 9331326 9583524 9849733 10115942 12441768 15173913 18662652 19167048 19699466 20231884 29549199 30347826 37325304 39398932 40463768 45521739 59098398 60695652 78797864 88647597 91043478 118196796 121391304 177295194 182086956 187144927 236393592 354590388 364173912 374289854 561434781 709180776 748579708 1122869562 1497159416 1684304343 2245739124 3368608686 4491478248 6737217372 13474434744