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8625022641 = 341726072
BaseRepresentation
bin10000000100001011…
…10110011010110001
3211021002111112210000
420002011312122301
5120131001211031
63543504100213
7423510324414
oct100205663261
924232445700
108625022641
113726667194
121808604669
13a75b902c1
145bb6c5b7b
1535730c3e6
hex2021766b1

8625022641 has 45 divisors (see below), whose sum is σ = 13709360379. Its totient is φ = 5402863296.

The previous prime is 8625022633. The next prime is 8625022667. The reversal of 8625022641 is 1462205268.

It is a happy number.

The square root of 8625022641 is 92871.

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

8625022641 is a `hidden beast` number, since 8 + 6 + 2 + 5 + 0 + 2 + 2 + 641 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6714983025 + 1910039616 = 81945^2 + 43704^2 .

It is not a de Polignac number, because 8625022641 - 23 = 8625022633 is a prime.

It is a super-2 number, since 2×86250226412 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 8625022596 and 8625022605.

It is not an unprimeable number, because it can be changed into a prime (8625029641) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 14208960 + ... + 14209566.

Almost surely, 28625022641 is an apocalyptic number.

8625022641 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

8625022641 is the 92871-st square number.

8625022641 is the 46436-th centered octagonal number.

It is an amenable number.

8625022641 is a deficient number, since it is larger than the sum of its proper divisors (5084337738).

8625022641 is an frugal number, since it uses more digits than its factorization.

8625022641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1260 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The cubic root of 8625022641 is about 2050.7847593144.

Multiplying 8625022641 by its sum of digits (36), we get a square (310500815076 = 5572262).

The spelling of 8625022641 in words is "eight billion, six hundred twenty-five million, twenty-two thousand, six hundred forty-one".

Divisors: 1 3 9 17 27 51 81 153 289 459 607 867 1377 1821 2601 5463 7803 10319 16389 23409 30957 49167 92871 175423 278613 368449 526269 835839 1105347 1578807 3316041 4736421 6263633 9948123 14209263 18790899 29844369 56372697 106481761 169118091 319445283 507354273 958335849 2875007547 8625022641