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13828683888 = 2432151635977
BaseRepresentation
bin11001110000100000…
…01111100001110000
31022200202002221001100
430320100033201300
5211310120341023
610204112404400
7666454605435
oct147020174160
938622087040
1013828683888
115956a27978
12281b246700
1313c4c887b6
1495283db8c
1555e092c43
hex33840f870

13828683888 has 60 divisors (see below), whose sum is σ = 38957468368. Its totient is φ = 4579027200.

The previous prime is 13828683877. The next prime is 13828683917. The reversal of 13828683888 is 88838682831.

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

It is a congruent number.

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, 296245 + ... + 339732.

Almost surely, 213828683888 is an apocalyptic number.

13828683888 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13828683888 is an abundant number, since it is smaller than the sum of its proper divisors (25128784480).

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

13828683888 is a wasteful number, since it uses less digits than its factorization.

13828683888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 636142 (or 636133 counting only the distinct ones).

The product of its digits is 28311552, while the sum is 63.

The spelling of 13828683888 in words is "thirteen billion, eight hundred twenty-eight million, six hundred eighty-three thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 151 302 453 604 906 1208 1359 1812 2416 2718 3624 5436 7248 10872 21744 635977 1271954 1907931 2543908 3815862 5087816 5723793 7631724 10175632 11447586 15263448 22895172 30526896 45790344 91580688 96032527 192065054 288097581 384130108 576195162 768260216 864292743 1152390324 1536520432 1728585486 2304780648 3457170972 4609561296 6914341944 13828683888