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3923074713420 = 22335611132274643
BaseRepresentation
bin111001000101101001011…
…110011000011101001100
3111220001010211012020211000
4321011221132120131030
51003233424111312140
612202122522100300
7553301306601432
oct71055136303514
914801124166730
103923074713420
111282848446265
1253439994a690
13225c379a7195
14d7c40a98d52
156c0ac8dca30
hex3916979874c

3923074713420 has 384 divisors, whose sum is σ = 12572825287680. Its totient is φ = 1015185346560.

The previous prime is 3923074713347. The next prime is 3923074713431. The reversal of 3923074713420 is 243174703293.

3923074713420 is a `hidden beast` number, since 3 + 9 + 230 + 7 + 4 + 71 + 342 + 0 = 666.

3923074713420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 844941619 + ... + 844946261.

It is an arithmetic number, because the mean of its divisors is an integer number (32741732520).

Almost surely, 23923074713420 is an apocalyptic number.

3923074713420 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 3923074713420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6286412643840).

3923074713420 is an abundant number, since it is smaller than the sum of its proper divisors (8649750574260).

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

3923074713420 is a wasteful number, since it uses less digits than its factorization.

3923074713420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5062 (or 5054 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 45.

The spelling of 3923074713420 in words is "three trillion, nine hundred twenty-three billion, seventy-four million, seven hundred thirteen thousand, four hundred twenty".