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6764240025 = 325254832
BaseRepresentation
bin1100100110010111…
…00001110010011001
3122110102002222220100
412103023201302121
5102323121140100
63035113050013
7326424043254
oct62313416231
918412088810
106764240025
112961267714
1213893b6909
1383a50acba
1448250a09b
15298c99400
hex1932e1c99

6764240025 has 27 divisors (see below), whose sum is σ = 12117715519. Its totient is φ = 3606936720.

The previous prime is 6764240023. The next prime is 6764240057. The reversal of 6764240025 is 5200424676.

The square root of 6764240025 is 82245.

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

6764240025 is a `hidden beast` number, since 6 + 7 + 642 + 4 + 0 + 0 + 2 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2435126409 + 4329113616 = 49347^2 + 65796^2 .

It is not a de Polignac number, because 6764240025 - 21 = 6764240023 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6764240023) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1230934 + ... + 1236416.

Almost surely, 26764240025 is an apocalyptic number.

6764240025 is the 82245-th square number.

6764240025 is the 41123-rd centered octagonal number.

It is an amenable number.

6764240025 is a deficient number, since it is larger than the sum of its proper divisors (5353475494).

6764240025 is an frugal number, since it uses more digits than its factorization.

6764240025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10982 (or 5491 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The cubic root of 6764240025 is about 1891.2096271007.

Multiplying 6764240025 by its sum of digits (36), we get a square (243512640900 = 4934702).

The spelling of 6764240025 in words is "six billion, seven hundred sixty-four million, two hundred forty thousand, twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 5483 16449 27415 49347 82245 137075 246735 411225 1233675 30063289 90189867 150316445 270569601 450949335 751582225 1352848005 2254746675 6764240025