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3922494089024 = 26724383973613
BaseRepresentation
bin111001000101000110110…
…111011110011101000000
3111212222122100122110212202
4321011012313132131000
51003231231441322044
612201545141212332
7553251026431100
oct71050667363500
914788570573782
103922494089024
11128257a721595
125342574010a8
13225b74603754
14d7bc7917200
156c07694ac4e
hex39146dde740

3922494089024 has 336 divisors, whose sum is σ = 9475993695168. Its totient is φ = 1605023465472.

The previous prime is 3922494089011. The next prime is 3922494089029. The reversal of 3922494089024 is 4209804942293.

It is a happy number.

3922494089024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (56) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3922494089029) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1085659442 + ... + 1085663054.

It is an arithmetic number, because the mean of its divisors is an integer number (28202362188).

Almost surely, 23922494089024 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 3922494089024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4737996847584).

3922494089024 is an abundant number, since it is smaller than the sum of its proper divisors (5553499606144).

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

3922494089024 is a wasteful number, since it uses less digits than its factorization.

3922494089024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3862 (or 3845 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 56.

The spelling of 3922494089024 in words is "three trillion, nine hundred twenty-two billion, four hundred ninety-four million, eighty-nine thousand, twenty-four".