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5764011840 = 2634517103127
BaseRepresentation
bin1010101111000111…
…11101011101000000
3112212201000010210000
411113203331131000
543301041334330
62351542440000
7262560202146
oct52743753500
915781003700
105764011840
1124986a8454
12114a433000
1370b220cc2
143c973d596
1523b070560
hex1578fd740

5764011840 has 560 divisors, whose sum is σ = 22093074432. Its totient is φ = 1421328384.

The previous prime is 5764011791. The next prime is 5764011871. The reversal of 5764011840 is 481104675.

It is a happy number.

5764011840 is a `hidden beast` number, since 5 + 7 + 640 + 1 + 1 + 8 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 5764011795 and 5764011804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 45385857 + ... + 45385983.

Almost surely, 25764011840 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 5764011840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11046537216).

5764011840 is an abundant number, since it is smaller than the sum of its proper divisors (16329062592).

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

5764011840 is a wasteful number, since it uses less digits than its factorization.

5764011840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 5764011840 is about 75921.0895601479. The cubic root of 5764011840 is about 1792.9779751595.

The spelling of 5764011840 in words is "five billion, seven hundred sixty-four million, eleven thousand, eight hundred forty".