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5110226796672 = 27351958714731
BaseRepresentation
bin100101001011101000101…
…0000001100000010000000
3200002112101111021120100000
41022113101100030002000
51132211221024443142
614511334503200000
71035126120034314
oct112272120140200
920075344246300
105110226796672
1116a0264892338
126a6490746000
132b0b7a56b38a
1413949cb25b44
158cdde6b814c
hex4a5d140c080

5110226796672 has 384 divisors, whose sum is σ = 16080909062400. Its totient is φ = 1610897310720.

The previous prime is 5110226796637. The next prime is 5110226796673. The reversal of 5110226796672 is 2766976220115.

It is a happy number.

5110226796672 is a `hidden beast` number, since 511 + 0 + 2 + 2 + 67 + 9 + 6 + 67 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×51102267966722 (a number of 26 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (5110226796673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 346895547 + ... + 346910277.

It is an arithmetic number, because the mean of its divisors is an integer number (41877367350).

Almost surely, 25110226796672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5110226796672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8040454531200).

5110226796672 is an abundant number, since it is smaller than the sum of its proper divisors (10970682265728).

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

5110226796672 is a wasteful number, since it uses less digits than its factorization.

5110226796672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15366 (or 15342 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 5110226796672 in words is "five trillion, one hundred ten billion, two hundred twenty-six million, seven hundred ninety-six thousand, six hundred seventy-two".