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5316092121600 = 29335213291019
BaseRepresentation
bin100110101011011111111…
…0010000101001000000000
3200211012202121012122001000
41031112333302011020000
51144044324040342400
615150102355412000
71056034501315101
oct115267762051000
920735677178030
105316092121600
11176a5a6459a07
1271a3645b4000
132c73c7a91900
1414542bb9a3a8
159343ca21600
hex4d5bfc85200

5316092121600 has 720 divisors, whose sum is σ = 21129306343200. Its totient is φ = 1308562145280.

The previous prime is 5316092121589. The next prime is 5316092121601. The reversal of 5316092121600 is 61212906135.

5316092121600 is a `hidden beast` number, since 5 + 3 + 1 + 6 + 0 + 9 + 21 + 21 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (5316092121601) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 58360891 + ... + 58451909.

It is an arithmetic number, because the mean of its divisors is an integer number (29346258810).

Almost surely, 25316092121600 is an apocalyptic number.

5316092121600 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 5316092121600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10564653171600).

5316092121600 is an abundant number, since it is smaller than the sum of its proper divisors (15813214221600).

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

5316092121600 is a wasteful number, since it uses less digits than its factorization.

5316092121600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91082 (or 91042 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 5316092121600 in words is "five trillion, three hundred sixteen billion, ninety-two million, one hundred twenty-one thousand, six hundred".