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12276031680 = 2633511373491
BaseRepresentation
bin10110110111011010…
…10110000011000000
31011200112112000122000
423123231112003000
5200120131003210
65350045544000
7613132355553
oct133355260300
934615460560
1012276031680
11522a555330
122467275000
1312083bcb93
1484655269a
154bcae7ac0
hex2dbb560c0

12276031680 has 448 divisors, whose sum is σ = 48534888960. Its totient is φ = 2894745600.

The previous prime is 12276031657. The next prime is 12276031697. The reversal of 12276031680 is 8613067221.

12276031680 is a `hidden beast` number, since 12 + 27 + 603 + 16 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3514735 + ... + 3518225.

Almost surely, 212276031680 is an apocalyptic number.

12276031680 is a gapful number since it is divisible by the number (10) 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 12276031680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24267444480).

12276031680 is an abundant number, since it is smaller than the sum of its proper divisors (36258857280).

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

12276031680 is a wasteful number, since it uses less digits than its factorization.

12276031680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3565 (or 3549 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 12276031680 in words is "twelve billion, two hundred seventy-six million, thirty-one thousand, six hundred eighty".