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3993605527780 = 225111971131139739
BaseRepresentation
bin111010000111010101011…
…100000101100011100100
3112010210012020100212002201
4322013111130011203210
51010412401003342110
612254345334144244
7561346160615011
oct72072534054344
915123166325081
103993605527780
1112aa751230a90
12545ba24b2084
1322c7980a546b
14db411da8708
156dd39901b3a
hex3a1d57058e4

3993605527780 has 384 divisors, whose sum is σ = 9924913152000. Its totient is φ = 1334563776000.

The previous prime is 3993605527753. The next prime is 3993605527783. The reversal of 3993605527780 is 877255063993.

It is a super-2 number, since 2×39936055277802 (a number of 26 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (64) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (3993605527783) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5404066651 + ... + 5404067389.

It is an arithmetic number, because the mean of its divisors is an integer number (25846128000).

Almost surely, 23993605527780 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3993605527780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4962456576000).

3993605527780 is an abundant number, since it is smaller than the sum of its proper divisors (5931307624220).

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

3993605527780 is a wasteful number, since it uses less digits than its factorization.

3993605527780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1119 (or 1117 counting only the distinct ones).

The product of its (nonzero) digits is 85730400, while the sum is 64.

The spelling of 3993605527780 in words is "three trillion, nine hundred ninety-three billion, six hundred five million, five hundred twenty-seven thousand, seven hundred eighty".