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13991785680 = 243558299107
BaseRepresentation
bin11010000011111100…
…11011010011010000
31100010010000100122110
431001332123103100
5212123344120210
610232220305320
71003505134035
oct150176332320
940103010573
1013991785680
115a2aaa8744
1228659a2240
13141c9c4032
1496a37938c
1556d55e420
hex341f9b4d0

13991785680 has 40 divisors (see below), whose sum is σ = 43374536352. Its totient is φ = 3731142784.

The previous prime is 13991785663. The next prime is 13991785693. The reversal of 13991785680 is 8658719931.

13991785680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 13991785680.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29149314 + ... + 29149793.

Almost surely, 213991785680 is an apocalyptic number.

13991785680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13991785680 is an abundant number, since it is smaller than the sum of its proper divisors (29382750672).

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

13991785680 is a wasteful number, since it uses less digits than its factorization.

13991785680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58299123 (or 58299117 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 57.

The spelling of 13991785680 in words is "thirteen billion, nine hundred ninety-one million, seven hundred eighty-five thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 58299107 116598214 174897321 233196428 291495535 349794642 466392856 582991070 699589284 874486605 932785712 1165982140 1399178568 1748973210 2331964280 2798357136 3497946420 4663928560 6995892840 13991785680