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3992011776 = 2103561263
BaseRepresentation
bin1110110111110001…
…0100010000000000
3101022012200012200000
43231330110100000
531133423334101
61500042400000
7200632353204
oct35574242000
911265605600
103992011776
111769428595
12934b00000
134b808575c
1429c274b04
151856e8486
hexedf14400

3992011776 has 264 divisors, whose sum is σ = 12195927744. Its totient is φ = 1303879680.

The previous prime is 3992011753. The next prime is 3992011823. The reversal of 3992011776 is 6771102993.

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 23 ways as a sum of consecutive naturals, for example, 15178621 + ... + 15178883.

It is an arithmetic number, because the mean of its divisors is an integer number (46196696).

Almost surely, 23992011776 is an apocalyptic number.

3992011776 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 3992011776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6097963872).

3992011776 is an abundant number, since it is smaller than the sum of its proper divisors (8203915968).

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

3992011776 is an equidigital number, since it uses as much as digits as its factorization.

3992011776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 142884, while the sum is 45.

The square root of 3992011776 is about 63182.3691863482. The cubic root of 3992011776 is about 1586.3436381522.

The spelling of 3992011776 in words is "three billion, nine hundred ninety-two million, eleven thousand, seven hundred seventy-six".