Search a number
-
+
11052820692 = 22322910586993
BaseRepresentation
bin10100100101100110…
…01010100011010100
31001112021211110121100
422102303022203110
5140114010230232
65024432150100
7540620266014
oct122263124324
931467743540
1011052820692
114762035861
122185698330
131071b5c8b4
1476bcddc44
1544a524c7c
hex292cca8d4

11052820692 has 36 divisors (see below), whose sum is σ = 28902493620. Its totient is φ = 3557229312.

The previous prime is 11052820679. The next prime is 11052820697. The reversal of 11052820692 is 29602825011.

It can be written as a sum of positive squares in 2 ways, for example, as 3136448016 + 7916372676 = 56004^2 + 88974^2 .

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11052820697) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5292453 + ... + 5294540.

It is an arithmetic number, because the mean of its divisors is an integer number (802847045).

Almost surely, 211052820692 is an apocalyptic number.

11052820692 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11052820692 is an abundant number, since it is smaller than the sum of its proper divisors (17849672928).

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

11052820692 is a wasteful number, since it uses less digits than its factorization.

11052820692 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10587032 (or 10587027 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

It can be divided in two parts, 11052 and 820692, that added together give a square (831744 = 9122).

The spelling of 11052820692 in words is "eleven billion, fifty-two million, eight hundred twenty thousand, six hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 1044 10586993 21173986 31760979 42347972 63521958 95282937 127043916 190565874 307022797 381131748 614045594 921068391 1228091188 1842136782 2763205173 3684273564 5526410346 11052820692