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10795076352 = 283229315991
BaseRepresentation
bin10100000110110111…
…11100101100000000
31000212022211200211200
422003123330230000
5134102014420402
64543103541200
7531340430544
oct120333745400
930768750750
1010795076352
11463a5a2705
1221132ba800
131030638258
147459a9a24
15432ab121c
hex2836fcb00

10795076352 has 108 divisors (see below), whose sum is σ = 31233047664. Its totient is φ = 3585853440.

The previous prime is 10795076333. The next prime is 10795076387. The reversal of 10795076352 is 25367059701.

10795076352 is a `hidden beast` number, since 1 + 0 + 7 + 9 + 5 + 0 + 7 + 635 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 10795076298 and 10795076307.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 667077 + ... + 683067.

Almost surely, 210795076352 is an apocalyptic number.

10795076352 is a gapful number since it is divisible by the number (12) 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 10795076352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15616523832).

10795076352 is an abundant number, since it is smaller than the sum of its proper divisors (20437971312).

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

10795076352 is a wasteful number, since it uses less digits than its factorization.

10795076352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16306 (or 16289 counting only the distinct ones).

The product of its (nonzero) digits is 396900, while the sum is 45.

The spelling of 10795076352 in words is "ten billion, seven hundred ninety-five million, seventy-six thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 293 384 576 586 768 879 1152 1172 1758 2304 2344 2637 3516 4688 5274 7032 9376 10548 14064 15991 18752 21096 28128 31982 37504 42192 47973 56256 63964 75008 84384 95946 112512 127928 143919 168768 191892 225024 255856 287838 337536 383784 511712 575676 675072 767568 1023424 1151352 1535136 2046848 2302704 3070272 4093696 4605408 4685363 6140544 9210816 9370726 12281088 14056089 18421632 18741452 28112178 36843264 37482904 42168267 56224356 74965808 84336534 112448712 149931616 168673068 224897424 299863232 337346136 449794848 599726464 674692272 899589696 1199452928 1349384544 1799179392 2698769088 3598358784 5397538176 10795076352