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6654480625 = 541322512
BaseRepresentation
bin1100011001010001…
…10101000011110001
3122011202120122022101
412030220311003301
5102112021340000
63020152340401
7323622103102
oct61450650361
918152518271
106654480625
11290530a871
1213586a4701
1382085b300
14471ad83a9
1528e317e6a
hex18ca350f1

6654480625 has 45 divisors (see below), whose sum is σ = 9040308519. Its totient is φ = 4894500000.

The previous prime is 6654480619. The next prime is 6654480641. The reversal of 6654480625 is 5260844566.

The square root of 6654480625 is 81575.

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

It can be written as a sum of positive squares in 7 ways, for example, as 6572831329 + 81649296 = 81073^2 + 9036^2 .

It is not a de Polignac number, because 6654480625 - 25 = 6654480593 is a prime.

It is a super-2 number, since 2×66544806252 = 88564224777000781250, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 26511750 + ... + 26512000.

Almost surely, 26654480625 is an apocalyptic number.

6654480625 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

6654480625 is the 81575-th square number.

6654480625 is the 40788-th centered octagonal number.

It is an amenable number.

6654480625 is a deficient number, since it is larger than the sum of its proper divisors (2385827894).

6654480625 is an frugal number, since it uses more digits than its factorization.

6654480625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 46.

The cubic root of 6654480625 is about 1880.9246079084.

The spelling of 6654480625 in words is "six billion, six hundred fifty-four million, four hundred eighty thousand, six hundred twenty-five".

Divisors: 1 5 13 25 65 125 169 251 325 625 845 1255 1625 3263 4225 6275 8125 16315 21125 31375 42419 63001 81575 105625 156875 212095 315005 407875 819013 1060475 1575025 2039375 4095065 5302375 7875125 10647169 20475325 26511875 39375625 53235845 102376625 266179225 511883125 1330896125 6654480625