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239494969140625 = 5811222512
BaseRepresentation
bin110110011101000111000100…
…100011111010010110010001
31011101222111101011220012222101
4312131013010203322112101
5222342341144100000000
62205210245301440401
7101305640412036322
oct6635070443722621
91141874334805871
10239494969140625
116a346278505900
1222a3b890710101
13a383381363ac3
14431d892aa4449
151ca4c31677e6a
hexd9d1c48fa591

239494969140625 has 81 divisors (see below), whose sum is σ = 329204249904369. Its totient is φ = 174100781250000.

The previous prime is 239494969140619. The next prime is 239494969140629. The reversal of 239494969140625 is 526041969494932.

It is a happy number.

The square root of 239494969140625 is 15475625.

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

239494969140625 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 170277627608209 + 69217341532416 = 13049047^2 + 8319696^2 .

It is not a de Polignac number, because 239494969140625 - 233 = 239486379206033 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (239494969140629) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 106394920750 + ... + 106394923000.

Almost surely, 2239494969140625 is an apocalyptic number.

239494969140625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

239494969140625 is the 15475625-th square number.

239494969140625 is the 7737813-rd centered octagonal number.

It is an amenable number.

239494969140625 is a deficient number, since it is larger than the sum of its proper divisors (89709280763744).

239494969140625 is an frugal number, since it uses more digits than its factorization.

239494969140625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4564 (or 2267 counting only the distinct ones).

The product of its (nonzero) digits is 906992640, while the sum is 73.

The spelling of 239494969140625 in words is "two hundred thirty-nine trillion, four hundred ninety-four billion, nine hundred sixty-nine million, one hundred forty thousand, six hundred twenty-five".

Divisors: 1 5 11 25 55 121 125 275 605 625 1375 2251 3025 3125 6875 11255 15125 15625 24761 34375 56275 75625 78125 123805 171875 272371 281375 378125 390625 619025 859375 1361855 1406875 1890625 3095125 4296875 5067001 6809275 7034375 9453125 15475625 25335005 34046375 35171875 47265625 55737011 77378125 126675025 170231875 175859375 278685055 386890625 613107121 633375125 851159375 879296875 1393425275 1934453125 3065535605 3166875625 4255796875 6967126375 9672265625 15327678025 15834378125 21278984375 34835631875 76638390125 79171890625 106394921875 174178159375 383191950625 395859453125 870890796875 1915959753125 1979297265625 4354453984375 9579798765625 21772269921875 47898993828125 239494969140625