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3992610090456 = 233213711273671289
BaseRepresentation
bin111010000110011010000…
…110110010110111011000
3112010200121212021101210200
4322012122012302313120
51010403331140343311
612254102454342200
7561312412546251
oct72063206626730
915120555241720
103992610090456
1112aa290344209
1254596505a960
1322c669aa4cb0
14db359ac7b28
156dccc322556
hex3a19a1b2dd8

3992610090456 has 384 divisors, whose sum is σ = 11943803289600. Its totient is φ = 1197451745280.

The previous prime is 3992610090431. The next prime is 3992610090481. The reversal of 3992610090456 is 6540900162993.

3992610090456 is a `hidden beast` number, since 3 + 9 + 92 + 6 + 10 + 0 + 90 + 456 = 666.

3992610090456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3992610090431) and next prime (3992610090481).

It is a super-2 number, since 2×39926100904562 (a number of 26 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 95 ways as a sum of consecutive naturals, for example, 3097447060 + ... + 3097448348.

It is an arithmetic number, because the mean of its divisors is an integer number (31103654400).

Almost surely, 23992610090456 is an apocalyptic number.

3992610090456 is a gapful number since it is divisible by the number (36) 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 3992610090456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5971901644800).

3992610090456 is an abundant number, since it is smaller than the sum of its proper divisors (7951193199144).

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

3992610090456 is a wasteful number, since it uses less digits than its factorization.

3992610090456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1879 (or 1872 counting only the distinct ones).

The product of its (nonzero) digits is 3149280, while the sum is 54.

The spelling of 3992610090456 in words is "three trillion, nine hundred ninety-two billion, six hundred ten million, ninety thousand, four hundred fifty-six".