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2655235440 = 243251113173741
BaseRepresentation
bin1001111001000011…
…1010110101110000
320212001021221021100
42132100322311300
520414220013230
61115250524400
7122541062124
oct23620726560
96761257240
102655235440
1111428a1760
12621296700
13334142340
141b28dd584
15108191660
hex9e43ad70

2655235440 has 960 divisors, whose sum is σ = 11670003072. Its totient is φ = 530841600.

The previous prime is 2655235439. The next prime is 2655235519. The reversal of 2655235440 is 445325562.

2655235440 is a `hidden beast` number, since 2 + 65 + 52 + 3 + 544 + 0 = 666.

2655235440 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 2655235395 and 2655235404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 64761820 + ... + 64761860.

Almost surely, 22655235440 is an apocalyptic number.

2655235440 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 2655235440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5835001536).

2655235440 is an abundant number, since it is smaller than the sum of its proper divisors (9014767632).

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

2655235440 is a wasteful number, since it uses less digits than its factorization.

2655235440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The square root of 2655235440 is about 51528.9767024341. The cubic root of 2655235440 is about 1384.7382181056.

The spelling of 2655235440 in words is "two billion, six hundred fifty-five million, two hundred thirty-five thousand, four hundred forty".