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5378191955136 = 263271113233797113
BaseRepresentation
bin100111001000011010100…
…1110001001010011000000
3201001011001110000000212200
41032100311032021103000
51201104014120031021
615234412434353200
71063363416224340
oct116206516112300
921034043000780
105378191955136
111793973170a90
1272a3b572b800
1330021357bc40
1414843d494d20
1594d747a7126
hex4e4353894c0

5378191955136 has 2688 divisors, whose sum is σ = 22608518639616. Its totient is φ = 1177194332160.

The previous prime is 5378191955117. The next prime is 5378191955153. The reversal of 5378191955136 is 6315591918735.

5378191955136 is a `hidden beast` number, since 5 + 3 + 78 + 1 + 9 + 1 + 9 + 551 + 3 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 383 ways as a sum of consecutive naturals, for example, 47594619016 + ... + 47594619128.

It is an arithmetic number, because the mean of its divisors is an integer number (8410907232).

Almost surely, 25378191955136 is an apocalyptic number.

5378191955136 is a gapful number since it is divisible by the number (56) 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 5378191955136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11304259319808).

5378191955136 is an abundant number, since it is smaller than the sum of its proper divisors (17230326684480).

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

5378191955136 is a wasteful number, since it uses less digits than its factorization.

5378191955136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 306 counting only the distinct ones).

The product of its digits is 30618000, while the sum is 63.

The spelling of 5378191955136 in words is "five trillion, three hundred seventy-eight billion, one hundred ninety-one million, nine hundred fifty-five thousand, one hundred thirty-six".