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5060759040 = 29335211347
BaseRepresentation
bin1001011011010010…
…10000111000000000
3111001200201012022000
410231221100320000
540331023242130
62154101344000
7236260512351
oct45551207000
914050635260
105060759040
112167737197
12b92a08000
1362861319c
14360199d28
151e9459260
hex12da50e00

5060759040 has 320 divisors, whose sum is σ = 18113483520. Its totient is φ = 1339269120.

The previous prime is 5060758987. The next prime is 5060759059. The reversal of 5060759040 is 409570605.

5060759040 is a `hidden beast` number, since 5 + 0 + 60 + 7 + 590 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×50607590402 = 51222564121883443200, which contains 22 as substring.

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 = 5060758986 and 5060759004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14584147 + ... + 14584493.

It is an arithmetic number, because the mean of its divisors is an integer number (56604636).

Almost surely, 25060759040 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 5060759040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9056741760).

5060759040 is an abundant number, since it is smaller than the sum of its proper divisors (13052724480).

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

5060759040 is a wasteful number, since it uses less digits than its factorization.

5060759040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 5060759040 is about 71139.0120819793. The cubic root of 5060759040 is about 1716.8745114646.

The spelling of 5060759040 in words is "five billion, sixty million, seven hundred fifty-nine thousand, forty".