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6564279547225 = 52232222792
BaseRepresentation
bin101111110000101110110…
…0011001111010101011001
3212020112112221001121001001
41133201131203033111121
51330022121031002400
621543331032025001
71245152652345361
oct137413543172531
925215487047031
106564279547225
1121009937460a4
128a024bb32161
133880167459ca
141899d9dc79a1
15b5b42db2a6a
hex5f85d8cf559

6564279547225 has 27 divisors (see below), whose sum is σ = 8509375842303. Its totient is φ = 5022875407440.

The previous prime is 6564279547099. The next prime is 6564279547297. The reversal of 6564279547225 is 5227459724656.

The square root of 6564279547225 is 2562085.

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

It can be written as a sum of positive squares in only one way, i.e., 2363140637001 + 4201138910224 = 1537251^2 + 2049668^2 .

It is not a de Polignac number, because 6564279547225 - 27 = 6564279547097 is a prime.

It is a Smith number, since the sum of its digits (64) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 294628636 + ... + 294650914.

Almost surely, 26564279547225 is an apocalyptic number.

6564279547225 is the 2562085-th square number.

6564279547225 is the 1281043-rd centered octagonal number.

It is an amenable number.

6564279547225 is a deficient number, since it is larger than the sum of its proper divisors (1945096295078).

6564279547225 is an frugal number, since it uses more digits than its factorization.

6564279547225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44614 (or 22307 counting only the distinct ones).

The product of its digits is 254016000, while the sum is 64.

Multiplying 6564279547225 by its sum of digits (64), we get a square (420113891022400 = 204966802).

The spelling of 6564279547225 in words is "six trillion, five hundred sixty-four billion, two hundred seventy-nine million, five hundred forty-seven thousand, two hundred twenty-five".

Divisors: 1 5 23 25 115 529 575 2645 13225 22279 111395 512417 556975 2562085 11785591 12810425 58927955 294639775 496353841 2481769205 11416138343 12408846025 57080691715 262571181889 285403458575 1312855909445 6564279547225