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5425864704 = 21334131737
BaseRepresentation
bin1010000110110100…
…00010000000000000
3112000010201111010000
411003122002000000
542103010132304
62254223040000
7251313042351
oct50332020000
915003644100
105425864704
112334839507
121075140000
13686157b40
14396879d28
1521b528939
hex143682000

5425864704 has 560 divisors, whose sum is σ = 18982916568. Its totient is φ = 1528823808.

The previous prime is 5425864679. The next prime is 5425864723. The reversal of 5425864704 is 4074685245.

It can be written as a sum of positive squares in 4 ways, for example, as 5184000000 + 241864704 = 72000^2 + 15552^2 .

It is a super-2 number, since 2×54258647042 = 58880015572226015232, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 5425864704.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 146644974 + ... + 146645010.

Almost surely, 25425864704 is an apocalyptic number.

5425864704 is a gapful number since it is divisible by the number (54) 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 5425864704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9491458284).

5425864704 is an abundant number, since it is smaller than the sum of its proper divisors (13557051864).

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

5425864704 is a wasteful number, since it uses less digits than its factorization.

5425864704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 45.

The square root of 5425864704 is about 73660.4690726308. The cubic root of 5425864704 is about 1757.2072512817.

The spelling of 5425864704 in words is "five billion, four hundred twenty-five million, eight hundred sixty-four thousand, seven hundred four".