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10773926496 = 2532315322769
BaseRepresentation
bin10100000100010110…
…10001001001100000
31000210212001011200200
422002023101021200
5134031111121441
64541030345200
7530662602264
oct120213211140
930725034620
1010773926496
114629667493
1221081bb200
131029141648
14742c620a4
15430cd47b6
hex2822d1260

10773926496 has 144 divisors (see below), whose sum is σ = 32224832640. Its totient is φ = 3409735680.

The previous prime is 10773926489. The next prime is 10773926507. The reversal of 10773926496 is 69462937701.

It is a happy number.

10773926496 is a `hidden beast` number, since 107 + 7 + 392 + 64 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 461800 + ... + 484568.

It is an arithmetic number, because the mean of its divisors is an integer number (223783560).

Almost surely, 210773926496 is an apocalyptic number.

10773926496 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 10773926496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16112416320).

10773926496 is an abundant number, since it is smaller than the sum of its proper divisors (21450906144).

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

10773926496 is a wasteful number, since it uses less digits than its factorization.

10773926496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22869 (or 22858 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 54.

The spelling of 10773926496 in words is "ten billion, seven hundred seventy-three million, nine hundred twenty-six thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 53 62 72 93 96 106 124 144 159 186 212 248 279 288 318 372 424 477 496 558 636 744 848 954 992 1116 1272 1488 1643 1696 1908 2232 2544 2976 3286 3816 4464 4929 5088 6572 7632 8928 9858 13144 14787 15264 19716 22769 26288 29574 39432 45538 52576 59148 68307 78864 91076 118296 136614 157728 182152 204921 236592 273228 364304 409842 473184 546456 705839 728608 819684 1092912 1206757 1411678 1639368 2117517 2185824 2413514 2823356 3278736 3620271 4235034 4827028 5646712 6352551 6557472 7240542 8470068 9654056 10860813 11293424 12705102 14481084 16940136 19308112 21721626 22586848 25410204 28962168 33880272 37409467 38616224 43443252 50820408 57924336 67760544 74818934 86886504 101640816 112228401 115848672 149637868 173773008 203281632 224456802 299275736 336685203 347546016 448913604 598551472 673370406 897827208 1197102944 1346740812 1795654416 2693481624 3591308832 5386963248 10773926496