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10776012900 = 22352231561741
BaseRepresentation
bin10100000100100110…
…01110100001100100
31000210222222011200220
422002103032201210
5134032124403100
64541143204340
7531016412142
oct120223164144
930728864626
1010776012900
11462a861a94
122108a466b0
1310296c21c3
14743246592
15431097aa0
hex2824ce864

10776012900 has 72 divisors (see below), whose sum is σ = 32534209344. Its totient is φ = 2748662400.

The previous prime is 10776012883. The next prime is 10776012901. The reversal of 10776012900 is 921067701.

It is a super-2 number, since 2×107760129002 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10776012901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 773971 + ... + 787770.

Almost surely, 210776012900 is an apocalyptic number.

10776012900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10776012900 is an abundant number, since it is smaller than the sum of its proper divisors (21758196444).

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

10776012900 is a wasteful number, since it uses less digits than its factorization.

10776012900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1561781 (or 1561774 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 33.

The spelling of 10776012900 in words is "ten billion, seven hundred seventy-six million, twelve thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 25 30 46 50 60 69 75 92 100 115 138 150 230 276 300 345 460 575 690 1150 1380 1725 2300 3450 6900 1561741 3123482 4685223 6246964 7808705 9370446 15617410 18740892 23426115 31234820 35920043 39043525 46852230 71840086 78087050 93704460 107760129 117130575 143680172 156174100 179600215 215520258 234261150 359200430 431040516 468522300 538800645 718400860 898001075 1077601290 1796002150 2155202580 2694003225 3592004300 5388006450 10776012900