Search a number
-
+
11769944220 = 22335173159701
BaseRepresentation
bin10101111011000101…
…10001100010011100
31010101021020010011000
422331202301202130
5143101101203340
65223530430300
7564445606116
oct127542614234
933337203130
1011769944220
114a9a910331
122345892390
1311575b6048
147d92543b6
1548d47ad30
hex2bd8b189c

11769944220 has 384 divisors, whose sum is σ = 40758681600. Its totient is φ = 2806272000.

The previous prime is 11769944213. The next prime is 11769944227. The reversal of 11769944220 is 2244996711.

11769944220 is a `hidden beast` number, since 117 + 6 + 99 + 442 + 2 + 0 = 666.

11769944220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11769944213) and next prime (11769944227).

It is a super-2 number, since 2×117699442202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11769944227) 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 127 ways as a sum of consecutive naturals, for example, 16789870 + ... + 16790570.

It is an arithmetic number, because the mean of its divisors is an integer number (106142400).

Almost surely, 211769944220 is an apocalyptic number.

11769944220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11769944220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20379340800).

11769944220 is an abundant number, since it is smaller than the sum of its proper divisors (28988737380).

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

11769944220 is a wasteful number, since it uses less digits than its factorization.

11769944220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826 (or 818 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 11769944220 in words is "eleven billion, seven hundred sixty-nine million, nine hundred forty-four thousand, two hundred twenty".