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10828976736 = 253195936939
BaseRepresentation
bin10100001010111010…
…10001001001100000
31000221200122000102110
422011131101021200
5134134204223421
64550314315320
7532231532514
oct120535211140
930850560373
1010828976736
114657747556
122122728b40
131037677656
1474a2b2144
15435a5aa76
hex285751260

10828976736 has 48 divisors (see below), whose sum is σ = 29922177600. Its totient is φ = 3419676288.

The previous prime is 10828976723. The next prime is 10828976737. The reversal of 10828976736 is 63767982801.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10828976737) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 2966646 + ... + 2970293.

It is an arithmetic number, because the mean of its divisors is an integer number (623378700).

Almost surely, 210828976736 is an apocalyptic number.

10828976736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10828976736 is an abundant number, since it is smaller than the sum of its proper divisors (19093200864).

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

10828976736 is a wasteful number, since it uses less digits than its factorization.

10828976736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5936971 (or 5936963 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 57.

The spelling of 10828976736 in words is "ten billion, eight hundred twenty-eight million, nine hundred seventy-six thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 456 608 912 1824 5936939 11873878 17810817 23747756 35621634 47495512 71243268 94991024 112801841 142486536 189982048 225603682 284973072 338405523 451207364 569946144 676811046 902414728 1353622092 1804829456 2707244184 3609658912 5414488368 10828976736