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10293646664 = 2371033177943
BaseRepresentation
bin10011001011000110…
…01001010101001000
3222120101022102121202
421211203021111020
5132040133143124
64421232323332
7513041360450
oct114543112510
928511272552
1010293646664
11440254a104
121bb33a3548
13c807a24b2
146d9160d60
15403a645ae
hex2658c9548

10293646664 has 32 divisors (see below), whose sum is σ = 22079291520. Its totient is φ = 4407267456.

The previous prime is 10293646661. The next prime is 10293646667. The reversal of 10293646664 is 46664639201.

It is an interprime number because it is at equal distance from previous prime (10293646661) and next prime (10293646667).

It is a hoax number, since the sum of its digits (47) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (10293646661) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31124 + ... + 146819.

It is an arithmetic number, because the mean of its divisors is an integer number (689977860).

Almost surely, 210293646664 is an apocalyptic number.

10293646664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10293646664 is an abundant number, since it is smaller than the sum of its proper divisors (11785644856).

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

10293646664 is a wasteful number, since it uses less digits than its factorization.

10293646664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178989 (or 178985 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 47.

The spelling of 10293646664 in words is "ten billion, two hundred ninety-three million, six hundred forty-six thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 14 28 56 1033 2066 4132 7231 8264 14462 28924 57848 177943 355886 711772 1245601 1423544 2491202 4982404 9964808 183815119 367630238 735260476 1286705833 1470520952 2573411666 5146823332 10293646664