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2332874390625 = 325640732
BaseRepresentation
bin100001111100101010001…
…001100011110001100001
322021000120000201221202100
4201330222021203301201
5301210211321000000
64543412510241013
7330354542066022
oct41745211436141
98230500657670
102332874390625
1181a403859359
12318162ab6169
1313bcb210040c
1480ca9aa6c49
1540a3b7e6a00
hex21f2a263c61

2332874390625 has 63 divisors (see below), whose sum is σ = 4213114801909. Its totient is φ = 1243894200000.

The previous prime is 2332874390603. The next prime is 2332874390657. The reversal of 2332874390625 is 5260934782332.

It is a happy number.

The square root of 2332874390625 is 1527375.

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

2332874390625 is a `hidden beast` number, since 2 + 3 + 3 + 2 + 8 + 7 + 4 + 3 + 9 + 0 + 625 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 953593263441 + 1379281127184 = 976521^2 + 1174428^2 .

It is not a de Polignac number, because 2332874390625 - 29 = 2332874390113 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 572763589 + ... + 572767661.

Almost surely, 22332874390625 is an apocalyptic number.

2332874390625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2332874390625 is the 1527375-th square number.

2332874390625 is the 763688-th centered octagonal number.

It is an amenable number.

2332874390625 is a deficient number, since it is larger than the sum of its proper divisors (1880240411284).

2332874390625 is an frugal number, since it uses more digits than its factorization.

2332874390625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8182 (or 4081 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 54.

The spelling of 2332874390625 in words is "two trillion, three hundred thirty-two billion, eight hundred seventy-four million, three hundred ninety thousand, six hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 125 225 375 625 1125 1875 3125 4073 5625 9375 12219 15625 20365 28125 36657 46875 61095 101825 140625 183285 305475 509125 916425 1527375 2545625 4582125 7636875 12728125 16589329 22910625 38184375 49767987 63640625 82946645 114553125 149303961 190921875 248839935 414733225 572765625 746519805 1244199675 2073666125 3732599025 6220998375 10368330625 18662995125 31104991875 51841653125 93314975625 155524959375 259208265625 466574878125 777624796875 2332874390625