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10924728640 = 26578954799
BaseRepresentation
bin10100010110010101…
…00010000101000000
31001012100210201100021
422023022202011000
5134333212304030
65004014503224
7534503442550
oct121312420500
931170721307
1010924728640
1146a67a7361
12214a804b14
131051461697
14758cb9160
1543e17197a
hex28b2a2140

10924728640 has 112 divisors (see below), whose sum is σ = 30065472000. Its totient is φ = 3703468032.

The previous prime is 10924728637. The next prime is 10924728653. The reversal of 10924728640 is 4682742901.

It is a tau number, because it is divible by the number of its divisors (112).

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 15 ways as a sum of consecutive naturals, for example, 171961 + ... + 226759.

Almost surely, 210924728640 is an apocalyptic number.

10924728640 is a gapful number since it is divisible by the number (10) 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 10924728640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15032736000).

10924728640 is an abundant number, since it is smaller than the sum of its proper divisors (19140743360).

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

10924728640 is an equidigital number, since it uses as much as digits as its factorization.

10924728640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54912 (or 54902 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 43.

The spelling of 10924728640 in words is "ten billion, nine hundred twenty-four million, seven hundred twenty-eight thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 89 112 140 160 178 224 280 320 356 445 448 560 623 712 890 1120 1246 1424 1780 2240 2492 2848 3115 3560 4984 5696 6230 7120 9968 12460 14240 19936 24920 28480 39872 49840 54799 99680 109598 199360 219196 273995 383593 438392 547990 767186 876784 1095980 1534372 1753568 1917965 2191960 3068744 3507136 3835930 4383920 4877111 6137488 7671860 8767840 9754222 12274976 15343720 17535680 19508444 24385555 24549952 30687440 34139777 39016888 48771110 61374880 68279554 78033776 97542220 122749760 136559108 156067552 170698885 195084440 273118216 312135104 341397770 390168880 546236432 682795540 780337760 1092472864 1365591080 1560675520 2184945728 2731182160 5462364320 10924728640