Search a number
-
+
10900612836 = 2232174012
BaseRepresentation
bin10100010011011101…
…00010011011100100
31001010200102111200100
422021232202123210
5134311024102321
65001353544100
7534061452231
oct121156423344
931120374610
1010900612836
114694125843
122142715030
131049469a89
147559dc788
1543beab326
hex289ba26e4

10900612836 has 27 divisors (see below), whose sum is σ = 27555910473. Its totient is φ = 3633328800.

The previous prime is 10900612817. The next prime is 10900612837. The reversal of 10900612836 is 63821600901.

The square root of 10900612836 is 104406.

It is a perfect power (a square), and thus also a powerful number.

10900612836 is a `hidden beast` number, since 1 + 0 + 9 + 0 + 0 + 612 + 8 + 36 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6416971236 + 4483641600 = 80106^2 + 66960^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10900612836.

It is not an unprimeable number, because it can be changed into a prime (10900612837) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 617736 + ... + 635136.

Almost surely, 210900612836 is an apocalyptic number.

10900612836 is the 104406-th square number.

It is an amenable number.

10900612836 is an abundant number, since it is smaller than the sum of its proper divisors (16655297637).

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

10900612836 is an frugal number, since it uses more digits than its factorization.

10900612836 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34812 (or 17406 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

Multiplying 10900612836 by its sum of digits (36), we get a square (392422062096 = 6264362).

10900612836 divided by its sum of digits (36) gives a square (302794801 = 174012).

The spelling of 10900612836 in words is "ten billion, nine hundred million, six hundred twelve thousand, eight hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 36 17401 34802 52203 69604 104406 156609 208812 313218 626436 302794801 605589602 908384403 1211179204 1816768806 2725153209 3633537612 5450306418 10900612836