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5038007393664 = 27347331209719
BaseRepresentation
bin100100101010000000010…
…1001000001110110000000
3122211121222101201202220000
41021110000221001312000
51130020314343044124
614414232330520000
71026661343164050
oct111240051016600
918747871652800
105038007393664
111672674918a03
12694496596000
132a710b38a90b
14135bab461560
158b0b43066c9
hex49500a41d80

5038007393664 has 320 divisors, whose sum is σ = 17186738553600. Its totient is φ = 1435075107840.

The previous prime is 5038007393659. The next prime is 5038007393693. The reversal of 5038007393664 is 4663937008305.

5038007393664 is a `hidden beast` number, since 50 + 380 + 0 + 73 + 93 + 6 + 64 = 666.

It is a super-2 number, since 2×50380073936642 (a number of 26 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 5038007393664.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 23917797 + ... + 24127515.

It is an arithmetic number, because the mean of its divisors is an integer number (53708557980).

Almost surely, 25038007393664 is an apocalyptic number.

5038007393664 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5038007393664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8593369276800).

5038007393664 is an abundant number, since it is smaller than the sum of its proper divisors (12148731159936).

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

5038007393664 is a wasteful number, since it uses less digits than its factorization.

5038007393664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210083 (or 210062 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

The spelling of 5038007393664 in words is "five trillion, thirty-eight billion, seven million, three hundred ninety-three thousand, six hundred sixty-four".