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10044727296 = 21331133617
BaseRepresentation
bin10010101101011011…
…00110000000000000
3221221000221000102220
421112231212000000
5131032422233141
64340421211040
7503626526142
oct112655460000
927830830386
1010044727296
114294a9431a
121b43b60a80
13c4104a926
146b4086c92
153dbc95766
hex256b66000

10044727296 has 112 divisors (see below), whose sum is σ = 27028804464. Its totient is φ = 3317694464.

The previous prime is 10044727289. The next prime is 10044727333. The reversal of 10044727296 is 69272744001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2775280 + ... + 2778896.

Almost surely, 210044727296 is an apocalyptic number.

10044727296 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 10044727296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13514402232).

10044727296 is an abundant number, since it is smaller than the sum of its proper divisors (16984077168).

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

10044727296 is an equidigital number, since it uses as much as digits as its factorization.

10044727296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3759 (or 3735 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 42.

The spelling of 10044727296 in words is "ten billion, forty-four million, seven hundred twenty-seven thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 113 128 192 226 256 339 384 452 512 678 768 904 1024 1356 1536 1808 2048 2712 3072 3616 3617 4096 5424 6144 7232 7234 8192 10848 10851 12288 14464 14468 21696 21702 24576 28928 28936 43392 43404 57856 57872 86784 86808 115712 115744 173568 173616 231424 231488 347136 347232 408721 462848 462976 694272 694464 817442 925696 925952 1226163 1388544 1388928 1634884 1851904 2452326 2777088 2777856 3269768 3703808 4904652 5555712 6539536 7407616 9809304 11111424 13079072 14815232 19618608 22222848 26158144 29630464 39237216 44445696 52316288 78474432 88891392 104632576 156948864 209265152 313897728 418530304 627795456 837060608 1255590912 1674121216 2511181824 3348242432 5022363648 10044727296