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84365104434 = 2313174147137241
BaseRepresentation
bin100111010010010001…
…1010101010100110010
322001202112211100120120
41032210203111110302
52340234431320214
6102431244551110
76044434361412
oct1164443252462
9261675740516
1084365104434
11328629a1706
1214425852496
137c5659a750
1441247ac642
1522db812ea9
hex13a48d5532

84365104434 has 256 divisors, whose sum is σ = 203594840064. Its totient is φ = 23062118400.

The previous prime is 84365104433. The next prime is 84365104459. The reversal of 84365104434 is 43440156348.

It is a happy number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (84365104433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 350062554 + ... + 350062794.

It is an arithmetic number, because the mean of its divisors is an integer number (795292344).

Almost surely, 284365104434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84365104434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101797420032).

84365104434 is an abundant number, since it is smaller than the sum of its proper divisors (119229735630).

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

84365104434 is a wasteful number, since it uses less digits than its factorization.

84365104434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501.

The product of its (nonzero) digits is 552960, while the sum is 42.

The spelling of 84365104434 in words is "eighty-four billion, three hundred sixty-five million, one hundred four thousand, four hundred thirty-four".