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12835236864 = 21037183709
BaseRepresentation
bin10111111010000101…
…00010110000000000
31020010111202120221010
423331002202300000
5202241310034424
65521343400520
7633032466432
oct137502426000
936114676833
1012835236864
11549717a47a
1225a25b3140
131297204218
1489a91a652
15501c58229
hex2fd0a2c00

12835236864 has 176 divisors, whose sum is σ = 35159927040. Its totient is φ = 4161454080.

The previous prime is 12835236851. The next prime is 12835236881. The reversal of 12835236864 is 46863253821.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18102942 + ... + 18103650.

Almost surely, 212835236864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12835236864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17579963520).

12835236864 is an abundant number, since it is smaller than the sum of its proper divisors (22324690176).

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

12835236864 is an equidigital number, since it uses as much as digits as its factorization.

12835236864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 886 (or 868 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 48.

The spelling of 12835236864 in words is "twelve billion, eight hundred thirty-five million, two hundred thirty-six thousand, eight hundred sixty-four".