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2640000265920 = 263251151796409
BaseRepresentation
bin100110011010101100010…
…001110010111011000000
3100100101022011020221201200
4212122230101302323000
5321223210032002140
65340444355501200
7361506445002123
oct46325421627300
910311264227650
102640000265920
11928688364196
123677968b7800
13161c49338184
1491ac33703ba
1548a14886030
hex266ac472ec0

2640000265920 has 168 divisors, whose sum is σ = 9088401553920. Its totient is φ = 703387545600.

The previous prime is 2640000265919. The next prime is 2640000265933. The reversal of 2640000265920 is 295620000462.

2640000265920 is a `hidden beast` number, since 2 + 6 + 40 + 0 + 0 + 0 + 26 + 592 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2916676 + ... + 3713084.

Almost surely, 22640000265920 is an apocalyptic number.

2640000265920 is a gapful number since it is divisible by the number (20) 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 2640000265920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4544200776960).

2640000265920 is an abundant number, since it is smaller than the sum of its proper divisors (6448401288000).

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

2640000265920 is a wasteful number, since it uses less digits than its factorization.

2640000265920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 797583 (or 797570 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 2640000265920 in words is "two trillion, six hundred forty billion, two hundred sixty-five thousand, nine hundred twenty".