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2655313920 = 21333574
BaseRepresentation
bin1001111001000100…
…1110000000000000
320212001102220221000
42132101032000000
520414230021140
61115252332000
7122541540000
oct23621160000
96761386830
102655313920
111142945716
12621314000
1333416bc8c
141b2920000
151081a9a30
hex9e44e000

2655313920 has 560 divisors, whose sum is σ = 11013307920. Its totient is φ = 606928896.

The previous prime is 2655313919. The next prime is 2655313943. The reversal of 2655313920 is 293135562.

2655313920 is a `hidden beast` number, since 2 + 6 + 553 + 13 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

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 39 ways as a sum of consecutive naturals, for example, 379330557 + ... + 379330563.

Almost surely, 22655313920 is an apocalyptic number.

2655313920 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 2655313920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5506653960).

2655313920 is an abundant number, since it is smaller than the sum of its proper divisors (8357994000).

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

2655313920 is an frugal number, since it uses more digits than its factorization.

2655313920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The square root of 2655313920 is about 51529.7382100860. The cubic root of 2655313920 is about 1384.7518607357.

The spelling of 2655313920 in words is "two billion, six hundred fifty-five million, three hundred thirteen thousand, nine hundred twenty".