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12291890688 = 29327411101
BaseRepresentation
bin10110111001010011…
…10101111000000000
31011201122100202002200
423130221311320000
5200133211000223
65351413513200
7613414230000
oct133451657000
934648322080
1012291890688
1152384a7450
122470642800
13120b7834cc
148486c0000
154be1cba43
hex2dca75e00

12291890688 has 600 divisors, whose sum is σ = 45594610776. Its totient is φ = 3161088000.

The previous prime is 12291890669. The next prime is 12291890711. The reversal of 12291890688 is 88609819221.

It is a super-2 number, since 2×122918906882 (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 59 ways as a sum of consecutive naturals, for example, 121701838 + ... + 121701938.

Almost surely, 212291890688 is an apocalyptic number.

12291890688 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 12291890688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22797305388).

12291890688 is an abundant number, since it is smaller than the sum of its proper divisors (33302720088).

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

12291890688 is an equidigital number, since it uses as much as digits as its factorization.

12291890688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 54.

The spelling of 12291890688 in words is "twelve billion, two hundred ninety-one million, eight hundred ninety thousand, six hundred eighty-eight".