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10650416808 = 23329101915017
BaseRepresentation
bin10011110101101000…
…00111011010101000
31000111020122020020210
421322310013122220
5133303001314213
64520455221120
7524633022603
oct117264073250
930436566223
1010650416808
114575978869
1220929777a0
1310096890a5
147306b133a
154250390c3
hex27ad076a8

10650416808 has 64 divisors (see below), whose sum is σ = 27573048000. Its totient is φ = 3424128512.

The previous prime is 10650416747. The next prime is 10650416813. The reversal of 10650416808 is 80861405601.

10650416808 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×106504168082 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 701716 + ... + 716732.

It is an arithmetic number, because the mean of its divisors is an integer number (430828875).

Almost surely, 210650416808 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 10650416808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13786524000).

10650416808 is an abundant number, since it is smaller than the sum of its proper divisors (16922631192).

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

10650416808 is a wasteful number, since it uses less digits than its factorization.

10650416808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16074 (or 16070 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The spelling of 10650416808 in words is "ten billion, six hundred fifty million, four hundred sixteen thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 12 24 29 58 87 116 174 232 348 696 1019 2038 3057 4076 6114 8152 12228 15017 24456 29551 30034 45051 59102 60068 88653 90102 118204 120136 177306 180204 236408 354612 360408 435493 709224 870986 1306479 1741972 2612958 3483944 5225916 10451832 15302323 30604646 45906969 61209292 91813938 122418584 183627876 367255752 443767367 887534734 1331302101 1775069468 2662604202 3550138936 5325208404 10650416808