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6490869120 = 273351492521
BaseRepresentation
bin1100000101110001…
…01100110110000000
3121202100201022112000
412002320230312000
5101243130302440
62552025504000
7316564322451
oct60270546600
917670638460
106490869120
112830a2104a
121311942000
137c59a4a78
144580a9128
1527ec9a730
hex182e2cd80

6490869120 has 256 divisors, whose sum is σ = 23151960000. Its totient is φ = 1718599680.

The previous prime is 6490869109. The next prime is 6490869149. The reversal of 6490869120 is 219680946.

It is a happy number.

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

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 2573460 + ... + 2575980.

Almost surely, 26490869120 is an apocalyptic number.

6490869120 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 6490869120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11575980000).

6490869120 is an abundant number, since it is smaller than the sum of its proper divisors (16661090880).

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

6490869120 is a wasteful number, since it uses less digits than its factorization.

6490869120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2698 (or 2680 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 6490869120 is about 80565.9302683212. The cubic root of 6490869120 is about 1865.3812942438.

The spelling of 6490869120 in words is "six billion, four hundred ninety million, eight hundred sixty-nine thousand, one hundred twenty".