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12038996902680 = 233251189237114407
BaseRepresentation
bin1010111100110000110000…
…1000100100001100011000
31120121220202101122000110100
42233030030020210030120
53034221331201341210
641334345553015400
72351534365142226
oct257141410441430
946556671560410
1012038996902680
113921789993aa0
1214252a3854560
136943709bc227
142d8994c73b16
1515d2668135c0
hexaf30c224318

12038996902680 has 384 divisors, whose sum is σ = 43184510553600. Its totient is φ = 2884334745600.

The previous prime is 12038996902663. The next prime is 12038996902739. The reversal of 12038996902680 is 8620969983021.

12038996902680 is a `hidden beast` number, since 1 + 2 + 0 + 389 + 96 + 90 + 2 + 6 + 80 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 835628037 + ... + 835642443.

It is an arithmetic number, because the mean of its divisors is an integer number (112459662900).

Almost surely, 212038996902680 is an apocalyptic number.

12038996902680 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 12038996902680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21592255276800).

12038996902680 is an abundant number, since it is smaller than the sum of its proper divisors (31145513650920).

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

12038996902680 is a wasteful number, since it uses less digits than its factorization.

12038996902680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16895 (or 16888 counting only the distinct ones).

The product of its (nonzero) digits is 20155392, while the sum is 63.

The spelling of 12038996902680 in words is "twelve trillion, thirty-eight billion, nine hundred ninety-six million, nine hundred two thousand, six hundred eighty".