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10927122336 = 2532132918569
BaseRepresentation
bin10100010110100111…
…01010011110100000
31001012112022022212200
422023103222132200
5134334320403321
65004142053200
7534533002344
oct121323523640
931175268780
1010927122336
1146a8091819
12214b57a200
131051abc080
1475933d624
1543e495d26
hex28b4ea7a0

10927122336 has 72 divisors (see below), whose sum is σ = 33464323620. Its totient is φ = 3362190336.

The previous prime is 10927122299. The next prime is 10927122337. The reversal of 10927122336 is 63322172901.

It can be written as a sum of positive squares in 2 ways, for example, as 10618065936 + 309056400 = 103044^2 + 17580^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 10927122336.

It is not an unprimeable number, because it can be changed into a prime (10927122337) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1455541 + ... + 1463028.

Almost surely, 210927122336 is an apocalyptic number.

10927122336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10927122336 is an abundant number, since it is smaller than the sum of its proper divisors (22537201284).

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

10927122336 is a wasteful number, since it uses less digits than its factorization.

10927122336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2918598 (or 2918587 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 10927122336 in words is "ten billion, nine hundred twenty-seven million, one hundred twenty-two thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 3744 2918569 5837138 8755707 11674276 17511414 23348552 26267121 35022828 37941397 46697104 52534242 70045656 75882794 93394208 105068484 113824191 140091312 151765588 210136968 227648382 280182624 303531176 341472573 420273936 455296764 607062352 682945146 840547872 910593528 1214124704 1365890292 1821187056 2731780584 3642374112 5463561168 10927122336