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55269659025 = 32527222392
BaseRepresentation
bin110011011110010101…
…000001000110010001
312021122211121120211100
4303132111001012101
51401143013042100
641220204335013
73664430231100
oct633625010621
9167584546740
1055269659025
1121492310959
12a865844469
13529a735169
142964548037
151687315400
hexcde541191

55269659025 has 81 divisors (see below), whose sum is σ = 115207857531. Its totient is φ = 25254845280.

The previous prime is 55269659017. The next prime is 55269659033. The reversal of 55269659025 is 52095696255.

The square root of 55269659025 is 235095.

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

55269659025 is a `hidden beast` number, since 5 + 5 + 26 + 9 + 6 + 590 + 25 = 666.

It is an interprime number because it is at equal distance from previous prime (55269659017) and next prime (55269659033).

It can be written as a sum of positive squares in only one way, i.e., 19897077249 + 35372581776 = 141057^2 + 188076^2 .

It is not a de Polignac number, because 55269659025 - 23 = 55269659017 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 24683856 + ... + 24686094.

Almost surely, 255269659025 is an apocalyptic number.

55269659025 is the 235095-th square number.

55269659025 is the 117548-th centered octagonal number.

It is an amenable number.

55269659025 is an abundant number, since it is smaller than the sum of its proper divisors (59938198506).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

55269659025 is an equidigital number, since it uses as much as digits as its factorization.

55269659025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4508 (or 2254 counting only the distinct ones).

The product of its (nonzero) digits is 7290000, while the sum is 54.

The spelling of 55269659025 in words is "fifty-five billion, two hundred sixty-nine million, six hundred fifty-nine thousand, twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 49 63 75 105 147 175 225 245 315 441 525 735 1225 1575 2205 2239 3675 6717 11025 11195 15673 20151 33585 47019 55975 78365 100755 109711 141057 167925 235095 329133 391825 503775 548555 705285 987399 1175475 1645665 2742775 3526425 4936995 5013121 8228325 15039363 24684975 25065605 35091847 45118089 75196815 105275541 125328025 175459235 225590445 245642929 315826623 375984075 526377705 736928787 877296175 1127952225 1228214645 1579133115 2210786361 2631888525 3684643935 6141073225 7895665575 11053931805 18423219675 55269659025