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13889113488 = 2432953101209
BaseRepresentation
bin11001110111101101…
…10000110110010000
31022211221211001212200
430323312300312100
5211421103112423
610214111523200
71001120342145
oct147366606620
938757731780
1013889113488
115988051598
122837529500
131404656163
1495a8903cc
1556452cd43
hex33bdb0d90

13889113488 has 60 divisors (see below), whose sum is σ = 38911399020. Its totient is φ = 4624800768.

The previous prime is 13889113481. The next prime is 13889113529. The reversal of 13889113488 is 88431198831.

It can be written as a sum of positive squares in 2 ways, for example, as 4310185104 + 9578928384 = 65652^2 + 97872^2 .

It is a super-2 number, since 2×138891134882 (a number of 21 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (13889113481) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 86628 + ... + 187836.

It is an arithmetic number, because the mean of its divisors is an integer number (648523317).

Almost surely, 213889113488 is an apocalyptic number.

13889113488 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13889113488 is an abundant number, since it is smaller than the sum of its proper divisors (25022285532).

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

13889113488 is a wasteful number, since it uses less digits than its factorization.

13889113488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102176 (or 102167 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 54.

The spelling of 13889113488 in words is "thirteen billion, eight hundred eighty-nine million, one hundred thirteen thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 953 1906 2859 3812 5718 7624 8577 11436 15248 17154 22872 34308 45744 68616 101209 137232 202418 303627 404836 607254 809672 910881 1214508 1619344 1821762 2429016 3643524 4858032 7287048 14574096 96452177 192904354 289356531 385808708 578713062 771617416 868069593 1157426124 1543234832 1736139186 2314852248 3472278372 4629704496 6944556744 13889113488