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12293436896 = 251331195021
BaseRepresentation
bin10110111001011111…
…01111010111100000
31011201202021022002122
423130233233113200
5200134104440041
65351511003412
7613433326616
oct133457572740
934652238078
1012293436896
115239363104
122471069568
13120bba5220
148489a36b6
154be3d4c4b
hex2dcbef5e0

12293436896 has 48 divisors (see below), whose sum is σ = 26148534048. Its totient is φ = 5655590400.

The previous prime is 12293436833. The next prime is 12293436913. The reversal of 12293436896 is 69863439221.

It is a super-2 number, since 2×122934368962 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 81866 + ... + 176886.

It is an arithmetic number, because the mean of its divisors is an integer number (544761126).

Almost surely, 212293436896 is an apocalyptic number.

12293436896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12293436896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13074267024).

12293436896 is an abundant number, since it is smaller than the sum of its proper divisors (13855097152).

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

12293436896 is a wasteful number, since it uses less digits than its factorization.

12293436896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95355 (or 95347 counting only the distinct ones).

The product of its digits is 3359232, while the sum is 53.

The spelling of 12293436896 in words is "twelve billion, two hundred ninety-three million, four hundred thirty-six thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 311 416 622 1244 2488 4043 4976 8086 9952 16172 32344 64688 95021 129376 190042 380084 760168 1235273 1520336 2470546 3040672 4941092 9882184 19764368 29551531 39528736 59103062 118206124 236412248 384169903 472824496 768339806 945648992 1536679612 3073359224 6146718448 12293436896