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10002256344 = 2332233959393
BaseRepresentation
bin10010101000010111…
…00101000111011000
3221211002000021020200
421110023211013120
5130441034200334
64332303022200
7502602530133
oct112413450730
927732007220
1010002256344
114273016263
121b3189a960
13c352ca4a2
146ac58d21a
153d81a6799
hex2542e51d8

10002256344 has 48 divisors (see below), whose sum is σ = 27101482200. Its totient is φ = 3332603904.

The previous prime is 10002256343. The next prime is 10002256373. The reversal of 10002256344 is 44365220001.

10002256344 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 2 + 25 + 634 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10002256343) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 138712 + ... + 198104.

Almost surely, 210002256344 is an apocalyptic number.

It is an amenable number.

10002256344 is an abundant number, since it is smaller than the sum of its proper divisors (17099225856).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10002256344 is a wasteful number, since it uses less digits than its factorization.

10002256344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61744 (or 61737 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 10002256344 its reverse (44365220001), we get a palindrome (54367476345).

The spelling of 10002256344 in words is "ten billion, two million, two hundred fifty-six thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 2339 4678 7017 9356 14034 18712 21051 28068 42102 56136 59393 84204 118786 168408 178179 237572 356358 475144 534537 712716 1069074 1425432 2138148 4276296 138920227 277840454 416760681 555680908 833521362 1111361816 1250282043 1667042724 2500564086 3334085448 5001128172 10002256344