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10625898724 = 22723721992
BaseRepresentation
bin10011110010101101…
…00101100011100100
31000102112111120202121
421321112211203210
5133230212224344
64514221515324
7524214435400
oct117126454344
930375446677
1010625898724
114563051a91
122086712b44
13100458334c
1472b32c100
15422ce4684
hex2795a58e4

10625898724 has 81 divisors (see below), whose sum is σ = 22344002793. Its totient is φ = 4408610976.

The previous prime is 10625898709. The next prime is 10625898733. The reversal of 10625898724 is 42789852601.

The square root of 10625898724 is 103082.

It is a perfect power (a square), and thus also a powerful number.

10625898724 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 9508200100 + 1117698624 = 97510^2 + 33432^2 .

It is a super-2 number, since 2×106258987242 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 53396377 + ... + 53396575.

Almost surely, 210625898724 is an apocalyptic number.

10625898724 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

10625898724 is the 103082-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10625898724

10625898724 is an abundant number, since it is smaller than the sum of its proper divisors (11718104069).

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

10625898724 is an equidigital number, since it uses as much as digits as its factorization.

10625898724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 52.

The spelling of 10625898724 in words is "ten billion, six hundred twenty-five million, eight hundred ninety-eight thousand, seven hundred twenty-four".

Divisors: 1 2 4 7 14 28 37 49 74 98 148 196 199 259 398 518 796 1036 1369 1393 1813 2738 2786 3626 5476 5572 7252 7363 9583 9751 14726 19166 19502 29452 38332 39004 39601 51541 67081 79202 103082 134162 158404 206164 268324 272431 277207 360787 544862 554414 721574 1089724 1108828 1443148 1465237 1907017 1940449 2930474 3814034 3880898 5860948 7628068 7761796 10256659 13349119 20513318 26698238 41026636 53396476 54213769 71796613 108427538 143593226 216855076 287186452 379496383 758992766 1517985532 2656474681 5312949362 10625898724