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3996180199836 = 22331143535212833
BaseRepresentation
bin111010001001101110111…
…001101011100110011100
3112011000211200001202012000
4322021232321223212130
51010433134112343321
612255453030242300
7561500033146356
oct72115671534634
915130750052160
103996180199836
1113008525a7230
125465a07b6390
1322cab861ab56
14db5b7cd60d6
156de3a97c826
hex3a26ee6b99c

3996180199836 has 384 divisors, whose sum is σ = 11810167649280. Its totient is φ = 1157848473600.

The previous prime is 3996180199829. The next prime is 3996180199849. The reversal of 3996180199836 is 6389910816993.

3996180199836 is a `hidden beast` number, since 399 + 6 + 18 + 0 + 199 + 8 + 36 = 666.

It is a super-2 number, since 2×39961801998362 (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 127 ways as a sum of consecutive naturals, for example, 1410581076 + ... + 1410583908.

It is an arithmetic number, because the mean of its divisors is an integer number (30755644920).

Almost surely, 23996180199836 is an apocalyptic number.

3996180199836 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 3996180199836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5905083824640).

3996180199836 is an abundant number, since it is smaller than the sum of its proper divisors (7813987449444).

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

3996180199836 is a wasteful number, since it uses less digits than its factorization.

3996180199836 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3474 (or 3466 counting only the distinct ones).

The product of its (nonzero) digits is 136048896, while the sum is 72.

The spelling of 3996180199836 in words is "three trillion, nine hundred ninety-six billion, one hundred eighty million, one hundred ninety-nine thousand, eight hundred thirty-six".