Search a number
-
+
10986289056 = 253238146837
BaseRepresentation
bin10100011101101010…
…10111011110100000
31001100122122022100200
422032311113132200
5134444442222211
65014054145200
7536151626151
oct121665273640
931318568320
1010986289056
114728523636
122167352200
131061136972
14763141928
15444781b56
hex28ed577a0

10986289056 has 36 divisors (see below), whose sum is σ = 31242260322. Its totient is φ = 3662096256.

The previous prime is 10986289019. The next prime is 10986289063. The reversal of 10986289056 is 65098268901.

It is a happy number.

10986289056 is a `hidden beast` number, since 1 + 0 + 9 + 8 + 628 + 9 + 0 + 5 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5793645456 + 5192643600 = 76116^2 + 72060^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×109862890562 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10986288993 and 10986289011.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 19073131 + ... + 19073706.

Almost surely, 210986289056 is an apocalyptic number.

10986289056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10986289056 is an abundant number, since it is smaller than the sum of its proper divisors (20255971266).

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

10986289056 is a wasteful number, since it uses less digits than its factorization.

10986289056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38146853 (or 38146842 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 10986289056 in words is "ten billion, nine hundred eighty-six million, two hundred eighty-nine thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 38146837 76293674 114440511 152587348 228881022 305174696 343321533 457762044 610349392 686643066 915524088 1220698784 1373286132 1831048176 2746572264 3662096352 5493144528 10986289056