Search a number
-
+
11822119740 = 2232565678443
BaseRepresentation
bin10110000001010011…
…10011101100111100
31010111220101220111200
423000221303230330
5143202430312430
65233033015500
7565651234254
oct130051635474
933456356450
1011822119740
1150173075a2
12235b254590
131165353732
14802156964
15492d35460
hex2c0a73b3c

11822119740 has 36 divisors (see below), whose sum is σ = 35860430424. Its totient is φ = 3152565216.

The previous prime is 11822119723. The next prime is 11822119769. The reversal of 11822119740 is 4791122811.

11822119740 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 junction number, because it is equal to n+sod(n) for n = 11822119695 and 11822119704.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 32839042 + ... + 32839401.

Almost surely, 211822119740 is an apocalyptic number.

11822119740 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11822119740 is an abundant number, since it is smaller than the sum of its proper divisors (24038310684).

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

11822119740 is a wasteful number, since it uses less digits than its factorization.

11822119740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65678458 (or 65678453 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The spelling of 11822119740 in words is "eleven billion, eight hundred twenty-two million, one hundred nineteen thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 65678443 131356886 197035329 262713772 328392215 394070658 591105987 656784430 788141316 985176645 1182211974 1313568860 1970353290 2364423948 2955529935 3940706580 5911059870 11822119740