Search a number
-
+
76079426375136 = 25317659365919333
BaseRepresentation
bin10001010011000110011111…
…001011110000110111100000
3100222101010022000220020022110
4101103012133023300313200
534432441131123001021
6425450223405235320
722011362052140142
oct2123063713606740
9328333260806273
1076079426375136
1122272115890818
128648851b62b40
13335b34a3a8ac2
1414b039a150c92
158be0018de476
hex45319f2f0de0

76079426375136 has 192 divisors, whose sum is σ = 211845762374400. Its totient is φ = 23824091160576.

The previous prime is 76079426375027. The next prime is 76079426375143. The reversal of 76079426375136 is 63157362497067.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3935200926 + ... + 3935220258.

It is an arithmetic number, because the mean of its divisors is an integer number (1103363345700).

Almost surely, 276079426375136 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 76079426375136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105922881187200).

76079426375136 is an abundant number, since it is smaller than the sum of its proper divisors (135766335999264).

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

76079426375136 is a wasteful number, since it uses less digits than its factorization.

76079426375136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23681 (or 23673 counting only the distinct ones).

The product of its (nonzero) digits is 240045120, while the sum is 66.

The spelling of 76079426375136 in words is "seventy-six trillion, seventy-nine billion, four hundred twenty-six million, three hundred seventy-five thousand, one hundred thirty-six".