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6920440632 = 23337371031201
BaseRepresentation
bin1100111000111110…
…11000101100111000
3122212022000210212000
412130133120230320
5103133113100012
63102413021000
7333331526520
oct63437305470
918768023760
106920440632
112a31454526
121411784760
1386399b2b1
1449916a680
152a7850ddc
hex19c7d8b38

6920440632 has 256 divisors, whose sum is σ = 22801459200. Its totient is φ = 1903564800.

The previous prime is 6920440627. The next prime is 6920440663. The reversal of 6920440632 is 2360440296.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5761632 + ... + 5762832.

It is an arithmetic number, because the mean of its divisors is an integer number (89068200).

Almost surely, 26920440632 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 6920440632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11400729600).

6920440632 is an abundant number, since it is smaller than the sum of its proper divisors (15881018568).

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

6920440632 is a wasteful number, since it uses less digits than its factorization.

6920440632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1363 (or 1353 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 6920440632 is about 83189.1857875770. The cubic root of 6920440632 is about 1905.6563328397.

The spelling of 6920440632 in words is "six billion, nine hundred twenty million, four hundred forty thousand, six hundred thirty-two".