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13782638604 = 2237563291437
BaseRepresentation
bin11001101011000001…
…00110000000001100
31022120112110120210110
430311200212000030
5211211323413404
610155345440020
7665355331560
oct146540460014
938515416713
1013782638604
115932a38419
122807940010
1313b8586477
1494a6956a0
15559ee9b89
hex33582600c

13782638604 has 48 divisors (see below), whose sum is σ = 36819111168. Its totient is φ = 3930888768.

The previous prime is 13782638603. The next prime is 13782638663. The reversal of 13782638604 is 40683628731.

It is a super-2 number, since 2×137826386042 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13782638603) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98427 + ... + 193010.

It is an arithmetic number, because the mean of its divisors is an integer number (767064816).

Almost surely, 213782638604 is an apocalyptic number.

13782638604 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13782638604 is an abundant number, since it is smaller than the sum of its proper divisors (23036472564).

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

13782638604 is a wasteful number, since it uses less digits than its factorization.

13782638604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292014 (or 292012 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 48.

The spelling of 13782638604 in words is "thirteen billion, seven hundred eighty-two million, six hundred thirty-eight thousand, six hundred four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 563 1126 1689 2252 3378 3941 6756 7882 11823 15764 23646 47292 291437 582874 874311 1165748 1748622 2040059 3497244 4080118 6120177 8160236 12240354 24480708 164079031 328158062 492237093 656316124 984474186 1148553217 1968948372 2297106434 3445659651 4594212868 6891319302 13782638604