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13957011666 = 235138392633
BaseRepresentation
bin11001111111110011…
…10001100011010010
31100000200120122200000
430333321301203102
5212040443333131
610224535110430
71002603433053
oct147771614322
940020518600
1013957011666
115a12407494
122856212416
13141573a0b0
149658c672a
1556a490ce6
hex33fe718d2

13957011666 has 96 divisors (see below), whose sum is σ = 33825617280. Its totient is φ = 4287717504.

The previous prime is 13957011637. The next prime is 13957011683. The reversal of 13957011666 is 66611075931.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5299486 + ... + 5302118.

It is an arithmetic number, because the mean of its divisors is an integer number (352350180).

Almost surely, 213957011666 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13957011666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16912808640).

13957011666 is an abundant number, since it is smaller than the sum of its proper divisors (19868605614).

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

13957011666 is a wasteful number, since it uses less digits than its factorization.

13957011666 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3502 (or 3490 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The spelling of 13957011666 in words is "thirteen billion, nine hundred fifty-seven million, eleven thousand, six hundred sixty-six".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 234 243 351 486 702 839 1053 1678 2106 2517 2633 3159 5034 5266 6318 7551 7899 10907 15102 15798 21814 22653 23697 32721 34229 45306 47394 65442 67959 68458 71091 98163 102687 135918 142182 196326 203877 205374 213273 294489 308061 407754 426546 588978 616122 639819 883467 924183 1279638 1766934 1848366 2209087 2650401 2772549 4418174 5300802 5545098 6627261 8317647 13254522 16635294 19881783 28718131 39763566 57436262 59645349 86154393 119290698 172308786 178936047 258463179 357872094 516926358 536808141 775389537 1073616282 1550779074 2326168611 4652337222 6978505833 13957011666