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2655136972800 = 21638521319
BaseRepresentation
bin100110101000110010011…
…111110000000000000000
3100101211101001122100000000
4212220302133300000000
5322000210031112200
65351430400000000
7362553524614644
oct46506237600000
910354331570000
102655136972800
119340456690a4
1236a700000000
131634bc2aa670
149271b7bcc24
15490ed6a1300
hex26a327f0000

2655136972800 has 1836 divisors, whose sum is σ = 11196069091480. Its totient is φ = 619173642240.

The previous prime is 2655136972757. The next prime is 2655136972811. The reversal of 2655136972800 is 82796315562.

2655136972800 is a `hidden beast` number, since 2 + 6 + 551 + 3 + 6 + 9 + 7 + 2 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 139744051191 + ... + 139744051209.

Almost surely, 22655136972800 is an apocalyptic number.

2655136972800 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 2655136972800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5598034545740).

2655136972800 is an abundant number, since it is smaller than the sum of its proper divisors (8540932118680).

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

2655136972800 is an frugal number, since it uses more digits than its factorization.

2655136972800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 2655136972800 in words is "two trillion, six hundred fifty-five billion, one hundred thirty-six million, nine hundred seventy-two thousand, eight hundred".