Search a number
-
+
51334627848192 = 2123813289127
BaseRepresentation
bin10111010110000010001100…
…10000011111000000000000
320201202112122110220200000000
423223001012100133000000
523212031304212120232
6301102445200000000
713545542635101243
oct1353010620370000
9221675573820000
1051334627848192
11153a1991147137
125910bb3000000
132284ab0900200
14c96875aa725a
155e04e8b0327c
hex2eb04641f000

51334627848192 has 1404 divisors, whose sum is σ = 169933783368960. Its totient is φ = 15494820397056.

The previous prime is 51334627848191. The next prime is 51334627848193. The reversal of 51334627848192 is 29184872643315.

It is a happy number.

51334627848192 is a `hidden beast` number, since 5 + 1 + 3 + 3 + 4 + 62 + 7 + 8 + 481 + 92 = 666.

It is an interprime number because it is at equal distance from previous prime (51334627848191) and next prime (51334627848193).

It is a tau number, because it is divible by the number of its divisors (1404).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51334627848191) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 404209668033 + ... + 404209668159.

It is an arithmetic number, because the mean of its divisors is an integer number (121035458240).

Almost surely, 251334627848192 is an apocalyptic number.

51334627848192 is a gapful number since it is divisible by the number (52) 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 51334627848192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84966891684480).

51334627848192 is an abundant number, since it is smaller than the sum of its proper divisors (118599155520768).

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

51334627848192 is an frugal number, since it uses more digits than its factorization.

51334627848192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 234 counting only the distinct ones).

The product of its digits is 69672960, while the sum is 63.

The spelling of 51334627848192 in words is "fifty-one trillion, three hundred thirty-four billion, six hundred twenty-seven million, eight hundred forty-eight thousand, one hundred ninety-two".