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55296253440 = 293252982759
BaseRepresentation
bin110011011111111010…
…011101111000000000
312021201200122201111200
4303133322131320000
51401221320102230
641222554341200
73665202253611
oct633772357000
9167650581450
1055296253440
11214a632570a
12a87272a800
1352a30b6cbc
142967cabc08
15168981a160
hexcdfe9de00

55296253440 has 240 divisors, whose sum is σ = 198112543200. Its totient is φ = 14237024256.

The previous prime is 55296253421. The next prime is 55296253471. The reversal of 55296253440 is 4435269255.

55296253440 is a `hidden beast` number, since 5 + 52 + 9 + 62 + 534 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 626781 + ... + 709539.

It is an arithmetic number, because the mean of its divisors is an integer number (825468930).

Almost surely, 255296253440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55296253440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99056271600).

55296253440 is an abundant number, since it is smaller than the sum of its proper divisors (142816289760).

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

55296253440 is a wasteful number, since it uses less digits than its factorization.

55296253440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82817 (or 82798 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 45.

The spelling of 55296253440 in words is "fifty-five billion, two hundred ninety-six million, two hundred fifty-three thousand, four hundred forty".