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5745425400 = 2332521113217101
BaseRepresentation
bin1010101100111010…
…00011101111111000
3112211102000211222100
411112131003233320
543231312103100
62350040223400
7262243211241
oct52635035770
915742024870
105745425400
112489163160
12114416ab60
13707414100
143c70a1cc8
152395ed400
hex156743bf8

5745425400 has 864 divisors, whose sum is σ = 24372569520. Its totient is φ = 1198080000.

The previous prime is 5745425353. The next prime is 5745425401. The reversal of 5745425400 is 45245475.

It is a happy number.

5745425400 is a `hidden beast` number, since 5 + 74 + 5 + 42 + 540 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5745425401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 56885350 + ... + 56885450.

Almost surely, 25745425400 is an apocalyptic number.

5745425400 is a gapful number since it is divisible by the number (50) 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 5745425400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12186284760).

5745425400 is an abundant number, since it is smaller than the sum of its proper divisors (18627144120).

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

5745425400 is a wasteful number, since it uses less digits than its factorization.

5745425400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 112000, while the sum is 36.

The square root of 5745425400 is about 75798.5844194996. The cubic root of 5745425400 is about 1791.0487076960.

The spelling of 5745425400 in words is "five billion, seven hundred forty-five million, four hundred twenty-five thousand, four hundred".