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13769441680 = 2451453118457
BaseRepresentation
bin11001101001011100…
…10000000110010000
31022112121122010000111
430310232100012100
5211144434113210
610154154531104
7665135215561
oct146456200620
938477563014
1013769441680
115926544375
122803436a94
1313b5915737
14948a1c168
15558c8e88a
hex334b90190

13769441680 has 40 divisors (see below), whose sum is σ = 32036255352. Its totient is φ = 5503939584.

The previous prime is 13769441633. The next prime is 13769441713. The reversal of 13769441680 is 8614496731.

It can be written as a sum of positive squares in 4 ways, for example, as 9704614144 + 4064827536 = 98512^2 + 63756^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57012 + ... + 175468.

Almost surely, 213769441680 is an apocalyptic number.

13769441680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13769441680 is an abundant number, since it is smaller than the sum of its proper divisors (18266813672).

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

13769441680 is a wasteful number, since it uses less digits than its factorization.

13769441680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119923 (or 119917 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 49.

The spelling of 13769441680 in words is "thirteen billion, seven hundred sixty-nine million, four hundred forty-one thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1453 2906 5812 7265 11624 14530 23248 29060 58120 116240 118457 236914 473828 592285 947656 1184570 1895312 2369140 4738280 9476560 172118021 344236042 688472084 860590105 1376944168 1721180210 2753888336 3442360420 6884720840 13769441680