Search a number
-
+
36051830745 = 357418374409
BaseRepresentation
bin100001100100110110…
…110100011111011001
310110001111212202110120
4201210312310133121
51042313232040440
624321215503453
72414253335160
oct414466643731
9113044782416
1036051830745
1114320356047
126ba1827b89
13352710a638
141a600aa3d7
15e1009ddd0
hex864db47d9

36051830745 has 32 divisors (see below), whose sum is σ = 67531242240. Its totient is φ = 16078863360.

The previous prime is 36051830743. The next prime is 36051830753. The reversal of 36051830745 is 54703815063.

It is not a de Polignac number, because 36051830745 - 21 = 36051830743 is a prime.

It is a super-3 number, since 3×360518307453 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 36051830697 and 36051830706.

It is not an unprimeable number, because it can be changed into a prime (36051830743) 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 31 ways as a sum of consecutive naturals, for example, 4182900 + ... + 4191509.

It is an arithmetic number, because the mean of its divisors is an integer number (2110351320).

Almost surely, 236051830745 is an apocalyptic number.

36051830745 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

36051830745 is a deficient number, since it is larger than the sum of its proper divisors (31479411495).

36051830745 is a wasteful number, since it uses less digits than its factorization.

36051830745 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8374465.

The product of its (nonzero) digits is 302400, while the sum is 42.

The spelling of 36051830745 in words is "thirty-six billion, fifty-one million, eight hundred thirty thousand, seven hundred forty-five".

Divisors: 1 3 5 7 15 21 35 41 105 123 205 287 615 861 1435 4305 8374409 25123227 41872045 58620863 125616135 175862589 293104315 343350769 879312945 1030052307 1716753845 2403455383 5150261535 7210366149 12017276915 36051830745