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10344720640 = 2858081813
BaseRepresentation
bin10011010001001011…
…11110100100000000
3222200221102020221111
421220211332210000
5132141222030030
64430255133104
7514231450252
oct115045764400
928627366844
1010344720640
114429363801
122008514194
13c8b245697
14701c57cd2
154082a262a
hex26897e900

10344720640 has 36 divisors (see below), whose sum is σ = 24778841724. Its totient is φ = 4137887744.

The previous prime is 10344720637. The next prime is 10344720647. The reversal of 10344720640 is 4602744301.

It can be written as a sum of positive squares in 2 ways, for example, as 6640294144 + 3704426496 = 81488^2 + 60864^2 .

It is not an unprimeable number, because it can be changed into a prime (10344720647) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4039627 + ... + 4042186.

It is an arithmetic number, because the mean of its divisors is an integer number (688301159).

Almost surely, 210344720640 is an apocalyptic number.

10344720640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10344720640 is an abundant number, since it is smaller than the sum of its proper divisors (14434121084).

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

10344720640 is an frugal number, since it uses more digits than its factorization.

10344720640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8081834 (or 8081820 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 31.

The spelling of 10344720640 in words is "ten billion, three hundred forty-four million, seven hundred twenty thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 1280 8081813 16163626 32327252 40409065 64654504 80818130 129309008 161636260 258618016 323272520 517236032 646545040 1034472064 1293090080 2068944128 2586180160 5172360320 10344720640