Search a number
-
+
81026668929024 = 2133371323181967
BaseRepresentation
bin10010011011000101111101…
…110100011010000000000000
3101121220001222212120102011000
4102123011331310122000000
541110020104221212044
6444155045434452000
723031661251044130
oct2233057564320000
9347801885512130
1081026668929024
11238aa243282145
129107617594000
133629a22352220
1416019d6c9cac0
15957a52639d69
hex49b17dd1a000

81026668929024 has 1792 divisors, whose sum is σ = 310334052188160. Its totient is φ = 20306602229760.

The previous prime is 81026668929023. The next prime is 81026668929097. The reversal of 81026668929024 is 42092986662018.

81026668929024 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1792).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (81026668929023) 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 127 ways as a sum of consecutive naturals, for example, 83791797789 + ... + 83791798755.

It is an arithmetic number, because the mean of its divisors is an integer number (173177484480).

Almost surely, 281026668929024 is an apocalyptic number.

81026668929024 is a gapful number since it is divisible by the number (84) 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 81026668929024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155167026094080).

81026668929024 is an abundant number, since it is smaller than the sum of its proper divisors (229307383259136).

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

81026668929024 is a wasteful number, since it uses less digits than its factorization.

81026668929024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1226 (or 1196 counting only the distinct ones).

The product of its (nonzero) digits is 35831808, while the sum is 63.

The spelling of 81026668929024 in words is "eighty-one trillion, twenty-six billion, six hundred sixty-eight million, nine hundred twenty-nine thousand, twenty-four".