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13717573064 = 23131398231153
BaseRepresentation
bin11001100011010000…
…11000110111001000
31022102000000220122122
430301220120313020
5211043144314224
610145103110412
7663635306246
oct146150306710
938360026578
1013717573064
1158aa237748
1227a9ba2408
1313a7c54950
14941b99796
1555444615e
hex331a18dc8

13717573064 has 64 divisors (see below), whose sum is σ = 27956342400. Its totient is φ = 6272557056.

The previous prime is 13717573039. The next prime is 13717573087. The reversal of 13717573064 is 46037571731.

It is a super-4 number, since 4×137175730644 (a number of 42 digits) contains 4444 as substring.

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, 11896712 + ... + 11897864.

It is an arithmetic number, because the mean of its divisors is an integer number (436817850).

Almost surely, 213717573064 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 13717573064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13978171200).

13717573064 is an abundant number, since it is smaller than the sum of its proper divisors (14238769336).

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

13717573064 is a wasteful number, since it uses less digits than its factorization.

13717573064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2134 (or 2130 counting only the distinct ones).

The product of its (nonzero) digits is 370440, while the sum is 44.

The spelling of 13717573064 in words is "thirteen billion, seven hundred seventeen million, five hundred seventy-three thousand, sixty-four".

Divisors: 1 2 4 8 13 26 52 104 139 278 556 823 1112 1153 1646 1807 2306 3292 3614 4612 6584 7228 9224 10699 14456 14989 21398 29978 42796 59956 85592 114397 119912 160267 228794 320534 457588 641068 915176 948919 1282136 1487161 1897838 2083471 2974322 3795676 4166942 5948644 7591352 8333884 11897288 12335947 16667768 24671894 49343788 98687576 131899741 263799482 527598964 1055197928 1714696633 3429393266 6858786532 13717573064