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10793434912 = 2513176412381
BaseRepresentation
bin10100000110101011…
…01011111100100000
31000212012202022012121
422003111223330200
5134101104404122
64543004434024
7531320453161
oct120325537440
930765668177
1010793434912
114639681447
122112848914
1310301b20a0
1474569d768
15432889bc7
hex28356bf20

10793434912 has 96 divisors (see below), whose sum is σ = 24278277744. Its totient is φ = 4679270400.

The previous prime is 10793434877. The next prime is 10793434921. The reversal of 10793434912 is 21943439701.

It can be written as a sum of positive squares in 8 ways, for example, as 3377469456 + 7415965456 = 58116^2 + 86116^2 .

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, 4531962 + ... + 4534342.

Almost surely, 210793434912 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 10793434912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12139138872).

10793434912 is an abundant number, since it is smaller than the sum of its proper divisors (13484842832).

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

10793434912 is a wasteful number, since it uses less digits than its factorization.

10793434912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3062 (or 3054 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 43.

The spelling of 10793434912 in words is "ten billion, seven hundred ninety-three million, four hundred thirty-four thousand, nine hundred twelve".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 68 104 136 208 221 272 416 442 544 641 884 1282 1768 2381 2564 3536 4762 5128 7072 8333 9524 10256 10897 16666 19048 20512 21794 30953 33332 38096 40477 43588 61906 66664 76192 80954 87176 123812 133328 141661 161908 174352 247624 266656 283322 323816 348704 495248 526201 566644 647632 990496 1052402 1133288 1295264 1526221 2104804 2266576 3052442 4209608 4533152 6104884 8419216 12209768 16838432 19840873 24419536 25945757 39681746 48839072 51891514 79363492 103783028 158726984 207566056 317453968 337294841 415132112 634907936 674589682 830264224 1349179364 2698358728 5396717456 10793434912