Search a number
-
+
10612486836 = 223472739157
BaseRepresentation
bin10011110001000110…
…11011001010110100
31000101121021012010000
421320203123022310
5133213244034321
64513022231300
7523662435600
oct117043331264
930347235100
1010612486836
114556521486
122082125530
131001868813
1472963a500
15421a45826
hex2788db2b4

10612486836 has 180 divisors, whose sum is σ = 32718292068. Its totient is φ = 2990276352.

The previous prime is 10612486831. The next prime is 10612486877. The reversal of 10612486836 is 63868421601.

10612486836 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 3507008400 + 7105478436 = 59220^2 + 84294^2 .

It is a super-2 number, since 2×106124868362 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10612486791 and 10612486800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10612486831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1154370 + ... + 1163526.

Almost surely, 210612486836 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10612486836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16359146034).

10612486836 is an abundant number, since it is smaller than the sum of its proper divisors (22105805232).

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

10612486836 is a wasteful number, since it uses less digits than its factorization.

10612486836 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9260 (or 9242 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 10612486836 in words is "ten billion, six hundred twelve million, four hundred eighty-six thousand, eight hundred thirty-six".