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5425295760 = 24355733823
BaseRepresentation
bin1010000110101111…
…10111000110010000
3112000002122120200000
411003113313012100
542102333431020
62254202530000
7251305152543
oct50327670620
915002576600
105425295760
112334490005
121074b06900
13685cb8ba1
1439676c85a
1521b465090
hex1435f7190

5425295760 has 240 divisors, whose sum is σ = 19158607104. Its totient is φ = 1426553856.

The previous prime is 5425295741. The next prime is 5425295783. The reversal of 5425295760 is 675925245.

5425295760 is a `hidden beast` number, since 54 + 2 + 5 + 29 + 576 + 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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1417209 + ... + 1421031.

Almost surely, 25425295760 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 5425295760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9579303552).

5425295760 is an abundant number, since it is smaller than the sum of its proper divisors (13733311344).

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

5425295760 is a wasteful number, since it uses less digits than its factorization.

5425295760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3924 (or 3906 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The square root of 5425295760 is about 73656.6070356217. The cubic root of 5425295760 is about 1757.1458301981.

The spelling of 5425295760 in words is "five billion, four hundred twenty-five million, two hundred ninety-five thousand, seven hundred sixty".