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3922494750720 = 219345721329
BaseRepresentation
bin111001000101000110111…
…010000000000000000000
3111212222122101220002120000
4321011012322000000000
51003231232124010340
612201545203320000
7553251035155200
oct71050672000000
914788571802500
103922494750720
111282580033747
12534257680000
13225b747a59a0
14d7bc7a4a400
156c076a2bd30
hex39146e80000

3922494750720 has 2400 divisors, whose sum is σ = 18224694873000. Its totient is φ = 799065243648.

The previous prime is 3922494750689. The next prime is 3922494750731. The reversal of 3922494750720 is 270574942293.

It is a happy number.

3922494750720 is a `hidden beast` number, since 3 + 9 + 2 + 24 + 94 + 7 + 507 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2498119335936 + 1424375414784 = 1580544^2 + 1193472^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 135258439666 + ... + 135258439694.

Almost surely, 23922494750720 is an apocalyptic number.

3922494750720 is a gapful number since it is divisible by the number (30) 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 3922494750720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9112347436500).

3922494750720 is an abundant number, since it is smaller than the sum of its proper divisors (14302200122280).

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

3922494750720 is an frugal number, since it uses more digits than its factorization.

3922494750720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 3922494750720 in words is "three trillion, nine hundred twenty-two billion, four hundred ninety-four million, seven hundred fifty thousand, seven hundred twenty".