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2090352098025 = 3452194892
BaseRepresentation
bin11110011010110010101…
…100011011101011101001
321101211120020020222210000
4132122302230123223221
5233222020114114100
64240143340013213
7304010605444332
oct36326254335351
97354506228700
102090352098025
1173657129a384
1229915a831209
131221722c5779
1473260443289
1539595209900
hex1e6b2b1bae9

2090352098025 has 225 divisors, whose sum is σ = 4133606392421. Its totient is φ = 1044310734720.

The previous prime is 2090352097997. The next prime is 2090352098089. The reversal of 2090352098025 is 5208902530902.

The square root of 2090352098025 is 1445805.

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

2090352098025 is a `hidden beast` number, since 20 + 9 + 0 + 3 + 520 + 9 + 80 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 435002245209 + 1655349852816 = 659547^2 + 1286604^2 .

It is a tau number, because it is divible by the number of its divisors (225).

It is not a de Polignac number, because 2090352098025 - 25 = 2090352097993 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 23487102181 + ... + 23487102269.

Almost surely, 22090352098025 is an apocalyptic number.

2090352098025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2090352098025 is the 1445805-th square number.

2090352098025 is the 722903-rd centered octagonal number.

It is an amenable number.

2090352098025 is a deficient number, since it is larger than the sum of its proper divisors (2043254294396).

2090352098025 is an frugal number, since it uses more digits than its factorization.

2090352098025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 2090352098025 in words is "two trillion, ninety billion, three hundred fifty-two million, ninety-eight thousand, twenty-five".