Search a number
-
+
36057000070 = 25713229227463
BaseRepresentation
bin100001100101001010…
…100010100010000110
310110001212121101110001
4201211022202202012
51042321043000240
624321522351514
72414345305120
oct414512424206
9113055541401
1036057000070
1114323266913
126ba34bb59a
1335281ca500
141a60a54210
15e1077089a
hex8652a2886

36057000070 has 192 divisors, whose sum is σ = 83634923520. Its totient is φ = 10945718784.

The previous prime is 36057000047. The next prime is 36057000071. The reversal of 36057000070 is 7000075063.

36057000070 is a nontrivial binomial coefficient, being equal to C(268541, 2).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36057000071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 77876659 + ... + 77877121.

It is an arithmetic number, because the mean of its divisors is an integer number (435598560).

Almost surely, 236057000070 is an apocalyptic number.

36057000070 is the 268540-th triangular number.

36057000070 is the 89514-th centered nonagonal number.

36057000070 is an abundant number, since it is smaller than the sum of its proper divisors (47577923450).

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

36057000070 is a wasteful number, since it uses less digits than its factorization.

36057000070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 759 (or 746 counting only the distinct ones).

The product of its (nonzero) digits is 4410, while the sum is 28.

The spelling of 36057000070 in words is "thirty-six billion, fifty-seven million, seventy", and thus it is an aban number and an uban number.