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2642431253 = 71150967421
BaseRepresentation
bin1001110110000000…
…0100110100010101
320211011012102020012
42131200010310111
520402430300003
61114112250005
7122324203130
oct23540046425
96734172205
102642431253
111136646790
12618b40905
133315ab2b7
141b0d29217
15106eb28d8
hex9d804d15

2642431253 has 16 divisors (see below), whose sum is σ = 3300981120. Its totient is φ = 2054961600.

The previous prime is 2642431249. The next prime is 2642431307. The reversal of 2642431253 is 3521342462.

It is a cyclic number.

It is not a de Polignac number, because 2642431253 - 22 = 2642431249 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2642431853) 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 15 ways as a sum of consecutive naturals, for example, 5483 + ... + 72903.

It is an arithmetic number, because the mean of its divisors is an integer number (206311320).

Almost surely, 22642431253 is an apocalyptic number.

It is an amenable number.

2642431253 is a deficient number, since it is larger than the sum of its proper divisors (658549867).

2642431253 is a wasteful number, since it uses less digits than its factorization.

2642431253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67948.

The product of its digits is 34560, while the sum is 32.

The square root of 2642431253 is about 51404.5839687474. The cubic root of 2642431253 is about 1382.5087831825.

The spelling of 2642431253 in words is "two billion, six hundred forty-two million, four hundred thirty-one thousand, two hundred fifty-three".

Divisors: 1 7 11 77 509 3563 5599 39193 67421 471947 741631 5191417 34317289 240221023 377490179 2642431253