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13717420560 = 2432519051973
BaseRepresentation
bin11001100011001111…
…10011101000010000
31022101222202011110100
430301213303220100
5211043124424220
610145055532400
7663634102524
oct146147635020
938358664410
1013717420560
1158aa143108
1227a9b2a100
1313a7c003cc
14941b59d84
15554415d90
hex3319f3a10

13717420560 has 60 divisors (see below), whose sum is σ = 46067673132. Its totient is φ = 3657978624.

The previous prime is 13717420537. The next prime is 13717420571. The reversal of 13717420560 is 6502471731.

It is a happy number.

13717420560 is a `hidden beast` number, since 1 + 3 + 7 + 1 + 74 + 20 + 560 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1813737744 + 11903682816 = 42588^2 + 109104^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9525267 + ... + 9526706.

Almost surely, 213717420560 is an apocalyptic number.

13717420560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13717420560 is an abundant number, since it is smaller than the sum of its proper divisors (32350252572).

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

13717420560 is a wasteful number, since it uses less digits than its factorization.

13717420560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19051992 (or 19051983 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The spelling of 13717420560 in words is "thirteen billion, seven hundred seventeen million, four hundred twenty thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 19051973 38103946 57155919 76207892 95259865 114311838 152415784 171467757 190519730 228623676 285779595 304831568 342935514 381039460 457247352 571559190 685871028 762078920 857338785 914494704 1143118380 1371742056 1524157840 1714677570 2286236760 2743484112 3429355140 4572473520 6858710280 13717420560