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13006563400 = 2352162739971
BaseRepresentation
bin11000001110100000…
…00110100001001000
31020120110010212202101
430013100012201020
5203114140012100
65550343443144
7640212651625
oct140720064110
936513125671
1013006563400
115574958656
12262ba564b4
1312c385c27c
148b559734c
15511ceb86a
hex307406848

13006563400 has 48 divisors (see below), whose sum is σ = 30259603440. Its totient is φ = 5199297600.

The previous prime is 13006563379. The next prime is 13006563413. The reversal of 13006563400 is 436560031.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 305415 + ... + 345385.

It is an arithmetic number, because the mean of its divisors is an integer number (630408405).

Almost surely, 213006563400 is an apocalyptic number.

13006563400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13006563400 is an abundant number, since it is smaller than the sum of its proper divisors (17253040040).

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

13006563400 is a wasteful number, since it uses less digits than its factorization.

13006563400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41614 (or 41605 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 28.

The spelling of 13006563400 in words is "thirteen billion, six million, five hundred sixty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 1627 3254 6508 8135 13016 16270 32540 39971 40675 65080 79942 81350 159884 162700 199855 319768 325400 399710 799420 999275 1598840 1998550 3997100 7994200 65032817 130065634 260131268 325164085 520262536 650328170 1300656340 1625820425 2601312680 3251640850 6503281700 13006563400