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10244917504 = 2817921249
BaseRepresentation
bin10011000101010010…
…10000100100000000
3222102222121201210001
421202221100210000
5131440144330004
64412332045344
7511610235103
oct114251204400
928388551701
1010244917504
114387a97178
121b9b003854
13c73670683
146d28b873a
153ee63b1a4
hex262a50900

10244917504 has 54 divisors (see below), whose sum is σ = 20581163750. Its totient is φ = 5089763328.

The previous prime is 10244917489. The next prime is 10244917511. The reversal of 10244917504 is 40571944201.

It can be written as a sum of positive squares in only one way, i.e., 8399355904 + 1845561600 = 91648^2 + 42960^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8201872 + ... + 8203120.

Almost surely, 210244917504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10244917504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10290581875).

10244917504 is an abundant number, since it is smaller than the sum of its proper divisors (10336246246).

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

10244917504 is an frugal number, since it uses more digits than its factorization.

10244917504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1623 (or 1430 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The spelling of 10244917504 in words is "ten billion, two hundred forty-four million, nine hundred seventeen thousand, five hundred four".

Divisors: 1 2 4 8 16 32 64 128 179 256 358 716 1249 1432 2498 2864 4996 5728 9992 11456 19984 22912 32041 39968 45824 64082 79936 128164 159872 223571 256328 319744 447142 512656 894284 1025312 1788568 2050624 3577136 4101248 7154272 8202496 14308544 28617088 40019209 57234176 80038418 160076836 320153672 640307344 1280614688 2561229376 5122458752 10244917504