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5735996640 = 2533511196353
BaseRepresentation
bin1010101011110010…
…00101110011100000
3112210202021211011000
411111321011303200
543221403343030
62345102152000
7262100111163
oct52571056340
915722254130
105735996640
1124839031a0
121140b82600
1370549256a
143c5b29ada
15238889860
hex155e45ce0

5735996640 has 384 divisors, whose sum is σ = 23057395200. Its totient is φ = 1317150720.

The previous prime is 5735996551. The next prime is 5735996663. The reversal of 5735996640 is 466995375.

5735996640 is a `hidden beast` number, since 5 + 7 + 3 + 599 + 6 + 6 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 899704 + ... + 906056.

It is an arithmetic number, because the mean of its divisors is an integer number (60045300).

Almost surely, 25735996640 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 5735996640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11528697600).

5735996640 is an abundant number, since it is smaller than the sum of its proper divisors (17321398560).

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

5735996640 is a wasteful number, since it uses less digits than its factorization.

5735996640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6407 (or 6393 counting only the distinct ones).

The product of its (nonzero) digits is 6123600, while the sum is 54.

The square root of 5735996640 is about 75736.3627328379. The cubic root of 5735996640 is about 1790.0684138932.

The spelling of 5735996640 in words is "five billion, seven hundred thirty-five million, nine hundred ninety-six thousand, six hundred forty".