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5758331040 = 2533572112473
BaseRepresentation
bin1010101110011100…
…10010100010100000
3112212022022112012000
411113032102202200
543243113043130
62351221004000
7262461002100
oct52716224240
915768275160
105758331040
112495478380
121148553600
13709cb2397
143c8aa1200
1523a7ec260
hex1573928a0

5758331040 has 576 divisors, whose sum is σ = 25586305920. Its totient is φ = 1196052480.

The previous prime is 5758331023. The next prime is 5758331057. The reversal of 5758331040 is 401338575.

5758331040 is a `hidden beast` number, since 5 + 7 + 583 + 31 + 0 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (5758331023) and next prime (5758331057).

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 = 5758330986 and 5758331004.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2327244 + ... + 2329716.

It is an arithmetic number, because the mean of its divisors is an integer number (44420670).

Almost surely, 25758331040 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 5758331040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12793152960).

5758331040 is an abundant number, since it is smaller than the sum of its proper divisors (19827974880).

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

5758331040 is a wasteful number, since it uses less digits than its factorization.

5758331040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2522 (or 2501 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 5758331040 is about 75883.6678080336. The cubic root of 5758331040 is about 1792.3887502952.

The spelling of 5758331040 in words is "five billion, seven hundred fifty-eight million, three hundred thirty-one thousand, forty".