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2655031729 = 721724332
BaseRepresentation
bin1001111001000000…
…1001000110110001
320212000220120211111
42132100021012301
520414142003404
61115242313321
7122536253200
oct23620110661
96760816744
102655031729
1111427726a9
126211b8841
133340a06bc
141b2889237
15108151104
hex9e4091b1

2655031729 has 27 divisors (see below), whose sum is σ = 3288464577. Its totient is φ = 2136927744.

The previous prime is 2655031727. The next prime is 2655031741. The reversal of 2655031729 is 9271305562.

The square root of 2655031729 is 51527.

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

It can be written as a sum of positive squares in 4 ways, for example, as 58110129 + 2596921600 = 7623^2 + 50960^2 .

It is not a de Polignac number, because 2655031729 - 21 = 2655031727 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2655031691 and 2655031700.

It is not an unprimeable number, because it can be changed into a prime (2655031727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6131497 + ... + 6131929.

Almost surely, 22655031729 is an apocalyptic number.

2655031729 is the 51527-th square number.

2655031729 is the 25764-th centered octagonal number.

It is an amenable number.

2655031729 is a deficient number, since it is larger than the sum of its proper divisors (633432848).

2655031729 is an frugal number, since it uses more digits than its factorization.

2655031729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 914 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 40.

The cubic root of 2655031729 is about 1384.7028045955.

The spelling of 2655031729 in words is "two billion, six hundred fifty-five million, thirty-one thousand, seven hundred twenty-nine".

Divisors: 1 7 17 49 119 289 433 833 2023 3031 7361 14161 21217 51527 125137 187489 360689 875959 1312423 3187313 6131713 9186961 22311191 54184321 156178337 379290247 2655031729