Search a number
-
+
136226402064 = 24321075387977
BaseRepresentation
bin111111011011110111…
…0011110111100010000
3111000121212000020112200
41332313232132330100
54212442424331224
6142325340323200
712561550212024
oct1766756367420
9430555006480
10136226402064
1152856286165
1222499b43500
13caccb3cccc
1468443b0384
1538247bd5c9
hex1fb7b9ef10

136226402064 has 60 divisors (see below), whose sum is σ = 381284511036. Its totient is φ = 45404061696.

The previous prime is 136226402029. The next prime is 136226402101. The reversal of 136226402064 is 460204622631.

136226402064 is a `hidden beast` number, since 1 + 3 + 6 + 2 + 2 + 640 + 2 + 0 + 6 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 131856134400 + 4370267664 = 363120^2 + 66108^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1504444 + ... + 1592420.

Almost surely, 2136226402064 is an apocalyptic number.

It is an amenable number.

136226402064 is an abundant number, since it is smaller than the sum of its proper divisors (245058108972).

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

136226402064 is a wasteful number, since it uses less digits than its factorization.

136226402064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98744 (or 98735 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 136226402064 in words is "one hundred thirty-six billion, two hundred twenty-six million, four hundred two thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 10753 21506 32259 43012 64518 86024 87977 96777 129036 172048 175954 193554 258072 263931 351908 387108 516144 527862 703816 774216 791793 1055724 1407632 1548432 1583586 2111448 3167172 4222896 6334344 12668688 946016681 1892033362 2838050043 3784066724 5676100086 7568133448 8514150129 11352200172 15136266896 17028300258 22704400344 34056600516 45408800688 68113201032 136226402064