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5051860972704 = 2535713171923312
BaseRepresentation
bin100100110000011101001…
…1000001111010010100000
3122212221201212200111200000
41021200322120033102200
51130232202402111304
614424443133100000
71030661552520240
oct111407230172240
918787655614600
105051860972704
1116785338a9987
12697102027600
132a8508551970
14136723301b20
158b625665939
hex4983a60f4a0

5051860972704 has 3456 divisors, whose sum is σ = 22035501895680. Its totient is φ = 1099678187520.

The previous prime is 5051860972663. The next prime is 5051860972777. The reversal of 5051860972704 is 4072790681505.

5051860972704 is a `hidden beast` number, since 5 + 0 + 5 + 1 + 8 + 609 + 7 + 27 + 0 + 4 = 666.

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

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 575 ways as a sum of consecutive naturals, for example, 162963257169 + ... + 162963257199.

It is an arithmetic number, because the mean of its divisors is an integer number (6376013280).

Almost surely, 25051860972704 is an apocalyptic number.

5051860972704 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 5051860972704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11017750947840).

5051860972704 is an abundant number, since it is smaller than the sum of its proper divisors (16983640922976).

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

5051860972704 is a wasteful number, since it uses less digits than its factorization.

5051860972704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 54.

The spelling of 5051860972704 in words is "five trillion, fifty-one billion, eight hundred sixty million, nine hundred seventy-two thousand, seven hundred four".