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135064454022 = 23310191926947
BaseRepresentation
bin111110111001001111…
…0000000001110000110
3110220121212121011111000
41331302132000032012
54203103000012042
6142014151554130
712521010626301
oct1756236001606
9426555534430
10135064454022
115230a3aa423
122221498b946
13c9761ac7a4
146773d47b38
1537a779c74c
hex1f72780386

135064454022 has 64 divisors (see below), whose sum is σ = 303456038400. Its totient is φ = 44525570400.

The previous prime is 135064454009. The next prime is 135064454023. The reversal of 135064454022 is 220454460531.

135064454022 is a `hidden beast` number, since 1 + 3 + 5 + 0 + 644 + 5 + 4 + 0 + 2 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135064454023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4998753 + ... + 5025699.

It is an arithmetic number, because the mean of its divisors is an integer number (4741500600).

Almost surely, 2135064454022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135064454022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151728019200).

135064454022 is an abundant number, since it is smaller than the sum of its proper divisors (168391584378).

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

135064454022 is a wasteful number, since it uses less digits than its factorization.

135064454022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27978 (or 27972 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 135064454022 in words is "one hundred thirty-five billion, sixty-four million, four hundred fifty-four thousand, twenty-two".

Divisors: 1 2 3 6 9 18 27 54 101 202 303 606 909 919 1818 1838 2727 2757 5454 5514 8271 16542 24813 26947 49626 53894 80841 92819 161682 185638 242523 278457 485046 556914 727569 835371 1455138 1670742 2506113 2721647 5012226 5443294 8164941 16329882 24494823 24764293 48989646 49528586 73484469 74292879 146968938 148585758 222878637 445757274 668635911 1337271822 2501193593 5002387186 7503580779 15007161558 22510742337 45021484674 67532227011 135064454022