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13248060408 = 2333115575783
BaseRepresentation
bin11000101011010010…
…10101101111111000
31021012021120012101000
430111221111233320
5204113000413113
610030331525000
7646204440552
oct142551255770
937167505330
1013248060408
115689203960
1226988b9760
1313318b55cb
148d969c4d2
15528101373
hex315a55bf8

13248060408 has 64 divisors (see below), whose sum is σ = 40145644800. Its totient is φ = 4014563040.

The previous prime is 13248060389. The next prime is 13248060409. The reversal of 13248060408 is 80406084231.

13248060408 is a `hidden beast` number, since 1 + 3 + 2 + 48 + 0 + 604 + 0 + 8 = 666.

It is a super-2 number, since 2×132480604082 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13248060409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2785516 + ... + 2790267.

It is an arithmetic number, because the mean of its divisors is an integer number (627275700).

Almost surely, 213248060408 is an apocalyptic number.

13248060408 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13248060408 is an abundant number, since it is smaller than the sum of its proper divisors (26897584392).

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

13248060408 is a wasteful number, since it uses less digits than its factorization.

13248060408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5575809 (or 5575799 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 13248060408 in words is "thirteen billion, two hundred forty-eight million, sixty thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 132 198 216 264 297 396 594 792 1188 2376 5575783 11151566 16727349 22303132 33454698 44606264 50182047 61333613 66909396 100364094 122667226 133818792 150546141 184000839 200728188 245334452 301092282 368001678 401456376 490668904 552002517 602184564 736003356 1104005034 1204369128 1472006712 1656007551 2208010068 3312015102 4416020136 6624030204 13248060408