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12089055168 = 2633107151433
BaseRepresentation
bin10110100001001000…
…00101011111000000
31011012111200122002000
423100210011133000
5144224244231133
65315330224000
7605402162541
oct132044053700
934174618060
1012089055168
115143a58093
122414725000
1311a87456a8
148297a04c8
154ab4b2413
hex2d09057c0

12089055168 has 224 divisors, whose sum is σ = 36192683520. Its totient is φ = 3956428800.

The previous prime is 12089055149. The next prime is 12089055203. The reversal of 12089055168 is 86155098021.

It is a happy number.

12089055168 is a `hidden beast` number, since 1 + 2 + 0 + 8 + 90 + 551 + 6 + 8 = 666.

It is a super-2 number, since 2×120890551682 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 27919080 + ... + 27919512.

It is an arithmetic number, because the mean of its divisors is an integer number (161574480).

Almost surely, 212089055168 is an apocalyptic number.

12089055168 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 12089055168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18096341760).

12089055168 is an abundant number, since it is smaller than the sum of its proper divisors (24103628352).

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

12089055168 is a wasteful number, since it uses less digits than its factorization.

12089055168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712 (or 696 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 45.

The spelling of 12089055168 in words is "twelve billion, eighty-nine million, fifty-five thousand, one hundred sixty-eight".