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5425610688 = 26354167127
BaseRepresentation
bin1010000110110010…
…00011111111000000
3112000010020120200000
411003121003333000
542102424020223
62254213400000
7251310633651
oct50331037700
915003216600
105425610688
112334685683
121075039000
13686099334
14396811528
1521b4c8543
hex143643fc0

5425610688 has 336 divisors, whose sum is σ = 16899477504. Its totient is φ = 1724405760.

The previous prime is 5425610681. The next prime is 5425610711. The reversal of 5425610688 is 8860165245.

5425610688 is a `hidden beast` number, since 5 + 4 + 2 + 561 + 0 + 6 + 88 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5425610681) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42721281 + ... + 42721407.

It is an arithmetic number, because the mean of its divisors is an integer number (50296064).

Almost surely, 25425610688 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 5425610688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8449738752).

5425610688 is an abundant number, since it is smaller than the sum of its proper divisors (11473866816).

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

5425610688 is a wasteful number, since it uses less digits than its factorization.

5425610688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The square root of 5425610688 is about 73658.7448168919. The cubic root of 5425610688 is about 1757.1798291872.

The spelling of 5425610688 in words is "five billion, four hundred twenty-five million, six hundred ten thousand, six hundred eighty-eight".