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642655296 = 263531243
BaseRepresentation
bin100110010011100…
…010010001000000
31122210021021100000
4212103202101000
52304004432141
6143434200000
721632323413
oct4623422100
91583237300
10642655296
112aa842488
1215b283000
13a31b1c0a
14614cbb7a
153b6465b6
hex264e2440

642655296 has 252 divisors, whose sum is σ = 2019793776. Its totient is φ = 202487040.

The previous prime is 642655289. The next prime is 642655303. The reversal of 642655296 is 692556246.

It is a happy number.

642655296 is a `hidden beast` number, since 6 + 4 + 2 + 6 + 552 + 96 = 666.

It is an interprime number because it is at equal distance from previous prime (642655289) and next prime (642655303).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 14945451 + ... + 14945493.

Almost surely, 2642655296 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 642655296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1009896888).

642655296 is an abundant number, since it is smaller than the sum of its proper divisors (1377138480).

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

642655296 is an equidigital number, since it uses as much as digits as its factorization.

642655296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 79 counting only the distinct ones).

The product of its digits is 777600, while the sum is 45.

The square root of 642655296 is about 25350.6468556524. The cubic root of 642655296 is about 862.9640361201.

It can be divided in two parts, 64 and 2655296, that added together give a triangular number (2655360 = T2304).

The spelling of 642655296 in words is "six hundred forty-two million, six hundred fifty-five thousand, two hundred ninety-six".