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3941200996992 = 2735723183417
BaseRepresentation
bin111001010110100001111…
…000101010101010000000
3111221202221001222212100000
4321112201320222222000
51004033034423400432
612214321315200000
7554512430505300
oct71264170525200
914852831885300
103941200996992
11128a4aa241406
125379b82a6000
1322786612176c
14d8a80199600
156c7bdddd57c
hex395a1e2aa80

3941200996992 has 576 divisors, whose sum is σ = 14122974378240. Its totient is φ = 1089719930880.

The previous prime is 3941200996951. The next prime is 3941200997033. The reversal of 3941200996992 is 2996990021493.

3941200996992 is a `hidden beast` number, since 394 + 12 + 0 + 0 + 99 + 69 + 92 = 666.

It is an interprime number because it is at equal distance from previous prime (3941200996951) and next prime (3941200997033).

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 47205268 + ... + 47288684.

It is an arithmetic number, because the mean of its divisors is an integer number (24519052740).

Almost surely, 23941200996992 is an apocalyptic number.

3941200996992 is a gapful number since it is divisible by the number (32) 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 3941200996992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7061487189120).

3941200996992 is an abundant number, since it is smaller than the sum of its proper divisors (10181773381248).

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

3941200996992 is an equidigital number, since it uses as much as digits as its factorization.

3941200996992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83491 (or 83460 counting only the distinct ones).

The product of its (nonzero) digits is 17006112, while the sum is 63.

The spelling of 3941200996992 in words is "three trillion, nine hundred forty-one billion, two hundred million, nine hundred ninety-six thousand, nine hundred ninety-two".