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5268132025 = 5213294113633
BaseRepresentation
bin1001110100000000…
…10101000010111001
3111121010220211112221
410322000111002321
541242120211100
62230430204041
7244356245332
oct47200250271
914533824487
105268132025
1122637a5622
121030353621
1365c57c3b0
1437d93b289
1520c76d01a
hex13a0150b9

5268132025 has 48 divisors (see below), whose sum is σ = 7455616560. Its totient is φ = 3664281600.

The previous prime is 5268131977. The next prime is 5268132041. The reversal of 5268132025 is 5202318625.

It can be written as a sum of positive squares in 24 ways, for example, as 4853072896 + 415059129 = 69664^2 + 20373^2 .

It is a de Polignac number, because none of the positive numbers 2k-5268132025 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 379609 + ... + 393241.

It is an arithmetic number, because the mean of its divisors is an integer number (155325345).

Almost surely, 25268132025 is an apocalyptic number.

It is an amenable number.

5268132025 is a deficient number, since it is larger than the sum of its proper divisors (2187484535).

5268132025 is a wasteful number, since it uses less digits than its factorization.

5268132025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13726 (or 13721 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 34.

The square root of 5268132025 is about 72581.8987420417. The cubic root of 5268132025 is about 1740.0118932776.

The spelling of 5268132025 in words is "five billion, two hundred sixty-eight million, one hundred thirty-two thousand, twenty-five".

Divisors: 1 5 13 25 29 41 65 145 205 325 377 533 725 1025 1189 1885 2665 5945 9425 13325 13633 15457 29725 68165 77285 177229 340825 386425 395357 558953 886145 1976785 2794765 4430725 5139641 7266389 9883925 13973825 16209637 25698205 36331945 81048185 128491025 181659725 210725281 405240925 1053626405 5268132025