Search a number
-
+
136283936065704 = 2332717937115314723
BaseRepresentation
bin11110111111001100010011…
…100110010000100010101000
3122212112121122211100110020200
4132333030103212100202220
5120330334000113100304
61201503550444152200
740464121661023530
oct3677142346204250
9585477584313220
10136283936065704
113a473768aa3319
12133508a6538660
135b0769b6639cb
14259226b8784c0
1510b50d07bae39
hex7bf3139908a8

136283936065704 has 384 divisors, whose sum is σ = 447539692803840. Its totient is φ = 36574434164736.

The previous prime is 136283936065691. The next prime is 136283936065747. The reversal of 136283936065704 is 407560639382631.

136283936065704 is a `hidden beast` number, since 1 + 3 + 6 + 28 + 3 + 9 + 36 + 0 + 6 + 570 + 4 = 666.

It is a super-2 number, since 2×1362839360657042 (a number of 29 digits) contains 22 as substring.

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

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 95 ways as a sum of consecutive naturals, for example, 9256525687 + ... + 9256540409.

It is an arithmetic number, because the mean of its divisors is an integer number (1165467950010).

It is a 1-persistent number, because it is pandigital, but 2⋅136283936065704 = 272567872131408 is not.

Almost surely, 2136283936065704 is an apocalyptic number.

136283936065704 is a gapful number since it is divisible by the number (14) 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 136283936065704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223769846401920).

136283936065704 is an abundant number, since it is smaller than the sum of its proper divisors (311255756738136).

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

136283936065704 is a wasteful number, since it uses less digits than its factorization.

136283936065704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16849 (or 16842 counting only the distinct ones).

The product of its (nonzero) digits is 117573120, while the sum is 63.

The spelling of 136283936065704 in words is "one hundred thirty-six trillion, two hundred eighty-three billion, nine hundred thirty-six million, sixty-five thousand, seven hundred four".