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12082026432 = 2637219257263
BaseRepresentation
bin10110100000010010…
…10001011111000000
31011012000110112110110
423100021101133000
5144220444321212
65314515431320
7605255346600
oct132011213700
934160415413
1012082026432
11513aa97313
1224122b5540
1311a7154388
14828890c00
154aaa74a3c
hex2d02517c0

12082026432 has 336 divisors, whose sum is σ = 39445021440. Its totient is φ = 3245211648.

The previous prime is 12082026421. The next prime is 12082026433. The reversal of 12082026432 is 23462028021.

It is a tau number, because it is divible by the number of its divisors (336).

It is a self number, because there is not a number n which added to its sum of digits gives 12082026432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12082026433) 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, 45939133 + ... + 45939395.

Almost surely, 212082026432 is an apocalyptic number.

12082026432 is a gapful number since it is divisible by the number (12) 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 12082026432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19722510720).

12082026432 is an abundant number, since it is smaller than the sum of its proper divisors (27362995008).

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

12082026432 is a wasteful number, since it uses less digits than its factorization.

12082026432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The spelling of 12082026432 in words is "twelve billion, eighty-two million, twenty-six thousand, four hundred thirty-two".