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12293019648 = 211337213349
BaseRepresentation
bin10110111001011100…
…01001100000000000
31011201201111002202000
423130232021200000
5200134003112043
65351454024000
7613426641300
oct133456114000
934651432660
1012293019648
1152390a8678
122470aa8000
13120ba8a330
148488d5600
154be3512d3
hex2dcb89800

12293019648 has 576 divisors, whose sum is σ = 45749340000. Its totient is φ = 3232825344.

The previous prime is 12293019593. The next prime is 12293019649. The reversal of 12293019648 is 84691039221.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×122930196482 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12293019649) 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 47 ways as a sum of consecutive naturals, for example, 35223378 + ... + 35223726.

Almost surely, 212293019648 is an apocalyptic number.

12293019648 is a gapful number since it is divisible by the number (18) 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 12293019648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22874670000).

12293019648 is an abundant number, since it is smaller than the sum of its proper divisors (33456320352).

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

12293019648 is a wasteful number, since it uses less digits than its factorization.

12293019648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 12293019648 in words is "twelve billion, two hundred ninety-three million, nineteen thousand, six hundred forty-eight".