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5139764884800 = 2633527133893361
BaseRepresentation
bin100101011001011000111…
…0111000011010101000000
3200012100122001101220202000
41022302301313003111000
51133202214302303200
614533101515024000
71040223110452320
oct112626167032500
920170561356660
105139764884800
111701842314117
126b0154a3b000
132b38a7025930
1413aaa1a91280
158da6c99e300
hex4acb1dc3540

5139764884800 has 1344 divisors, whose sum is σ = 23126278156800. Its totient is φ = 1081324339200.

The previous prime is 5139764884783. The next prime is 5139764884811. The reversal of 5139764884800 is 84884679315.

5139764884800 is a `hidden beast` number, since 5 + 1 + 3 + 9 + 76 + 4 + 88 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-3 number, since 3×51397648848003 (a number of 39 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1529235120 + ... + 1529238480.

It is an arithmetic number, because the mean of its divisors is an integer number (17207052200).

Almost surely, 25139764884800 is an apocalyptic number.

5139764884800 is a gapful number since it is divisible by the number (50) 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 5139764884800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11563139078400).

5139764884800 is an abundant number, since it is smaller than the sum of its proper divisors (17986513272000).

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

5139764884800 is a wasteful number, since it uses less digits than its factorization.

5139764884800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3801 (or 3780 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 5139764884800 in words is "five trillion, one hundred thirty-nine billion, seven hundred sixty-four million, eight hundred eighty-four thousand, eight hundred".