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6231920640 = 21235119221
BaseRepresentation
bin1011100110111001…
…11001000000000000
3121002022110100222120
411303130321000000
5100230332430030
62510215404240
7310301310561
oct56334710000
917068410876
106231920640
112708836240
12125b083680
1378414b30a
14431940168
1526719a010
hex173739000

6231920640 has 208 divisors, whose sum is σ = 21754771776. Its totient is φ = 1510604800.

The previous prime is 6231920581. The next prime is 6231920657. The reversal of 6231920640 is 460291326.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 671230 + ... + 680450.

Almost surely, 26231920640 is an apocalyptic number.

6231920640 is a gapful number since it is divisible by the number (60) 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 6231920640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10877385888).

6231920640 is an abundant number, since it is smaller than the sum of its proper divisors (15522851136).

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

6231920640 is a wasteful number, since it uses less digits than its factorization.

6231920640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9264 (or 9242 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 6231920640 is about 78942.5147813268. The cubic root of 6231920640 is about 1840.2379024464.

The spelling of 6231920640 in words is "six billion, two hundred thirty-one million, nine hundred twenty thousand, six hundred forty".