Search a number
-
+
11422514052 = 223437952829
BaseRepresentation
bin10101010001101010…
…11011101110000100
31002111001110211120000
422220311123232010
5141343130422202
65125240041300
7553026524145
oct125065335604
932431424500
1011422514052
114931790964
122269463230
13110061c771
147a5055acc
1546cbed91c
hex2a8d5bb84

11422514052 has 60 divisors (see below), whose sum is σ = 30667786380. Its totient is φ = 3704595264.

The previous prime is 11422514029. The next prime is 11422514053. The reversal of 11422514052 is 25041522411.

It is a happy number.

11422514052 is a `hidden beast` number, since 1 + 1 + 4 + 2 + 251 + 405 + 2 = 666.

11422514052 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 9901046016 + 1521468036 = 99504^2 + 39006^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (11422514053) 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 19 ways as a sum of consecutive naturals, for example, 464427 + ... + 488402.

It is an arithmetic number, because the mean of its divisors is an integer number (511129773).

Almost surely, 211422514052 is an apocalyptic number.

11422514052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11422514052 is an abundant number, since it is smaller than the sum of its proper divisors (19245272328).

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

11422514052 is a wasteful number, since it uses less digits than its factorization.

11422514052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 952882 (or 952871 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The spelling of 11422514052 in words is "eleven billion, four hundred twenty-two million, five hundred fourteen thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 81 108 111 148 162 222 324 333 444 666 999 1332 1998 2997 3996 5994 11988 952829 1905658 2858487 3811316 5716974 8575461 11433948 17150922 25726383 34301844 35254673 51452766 70509346 77179149 102905532 105764019 141018692 154358298 211528038 308716596 317292057 423056076 634584114 951876171 1269168228 1903752342 2855628513 3807504684 5711257026 11422514052