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5070040560 = 24335132171943
BaseRepresentation
bin1001011100011001…
…01010110111110000
3111002100011202011000
410232030222313300
540340412244220
62155032322000
7236432430234
oct45614526760
914070152130
105070040560
1121719a6572
12b95b43300
1362a512a00
143614d45c4
151ea18e390
hex12e32adf0

5070040560 has 960 divisors, whose sum is σ = 21566476800. Its totient is φ = 1086898176.

The previous prime is 5070040553. The next prime is 5070040621. The reversal of 5070040560 is 650400705.

It is a super-2 number, since 2×50700405602 = 51410622560090227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 117907899 + ... + 117907941.

It is an arithmetic number, because the mean of its divisors is an integer number (22465080).

Almost surely, 25070040560 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 5070040560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10783238400).

5070040560 is an abundant number, since it is smaller than the sum of its proper divisors (16496436240).

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

5070040560 is a wasteful number, since it uses less digits than its factorization.

5070040560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 5070040560 is about 71204.2172908319. The cubic root of 5070040560 is about 1717.9234630210.

The spelling of 5070040560 in words is "five billion, seventy million, forty thousand, five hundred sixty".