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10033290816 = 263179443659
BaseRepresentation
bin10010101100000011…
…11101111001000000
3221220020101222112120
421112001331321000
5131022010301231
64335332124240
7503430364503
oct112601757100
927806358476
1010033290816
11428959298a
121b40166680
13c3b875293
146b274b13a
153dac86d96
hex25607de40

10033290816 has 112 divisors (see below), whose sum is σ = 26795577600. Its totient is φ = 3313203712.

The previous prime is 10033290793. The next prime is 10033290823. The reversal of 10033290816 is 61809233001.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15224695 + ... + 15225353.

Almost surely, 210033290816 is an apocalyptic number.

10033290816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10033290816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13397788800).

10033290816 is an abundant number, since it is smaller than the sum of its proper divisors (16762286784).

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

10033290816 is a wasteful number, since it uses less digits than its factorization.

10033290816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1296 (or 1286 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The spelling of 10033290816 in words is "ten billion, thirty-three million, two hundred ninety thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 179 192 358 443 537 659 716 886 1074 1318 1329 1432 1772 1977 2148 2636 2658 2864 3544 3954 4296 5272 5316 5728 7088 7908 8592 10544 10632 11456 14176 15816 17184 21088 21264 28352 31632 34368 42176 42528 63264 79297 85056 117961 126528 158594 235922 237891 291937 317188 353883 471844 475782 583874 634376 707766 875811 943688 951564 1167748 1268752 1415532 1751622 1887376 1903128 2335496 2537504 2831064 3503244 3774752 3806256 4670992 5075008 5662128 7006488 7549504 7612512 9341984 11324256 14012976 15225024 18683968 22648512 28025952 52256723 56051904 104513446 156770169 209026892 313540338 418053784 627080676 836107568 1254161352 1672215136 2508322704 3344430272 5016645408 10033290816