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11324461776 = 2431912417173
BaseRepresentation
bin10101000101111110…
…11001001011010000
31002020012222021010020
422202333121023100
5141143030234101
65111414303440
7550426223355
oct124277311320
932205867106
1011324461776
1148913aa821
122240657b80
1310b620b674
1479601062c
154642d1136
hex2a2fd92d0

11324461776 has 40 divisors (see below), whose sum is σ = 30794591520. Its totient is φ = 3576145536.

The previous prime is 11324461741. The next prime is 11324461801. The reversal of 11324461776 is 67716442311.

11324461776 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 7 ways as a sum of consecutive naturals, for example, 6207675 + ... + 6209498.

It is an arithmetic number, because the mean of its divisors is an integer number (769864788).

Almost surely, 211324461776 is an apocalyptic number.

11324461776 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11324461776 is an abundant number, since it is smaller than the sum of its proper divisors (19470129744).

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

11324461776 is a wasteful number, since it uses less digits than its factorization.

11324461776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12417203 (or 12417197 counting only the distinct ones).

The product of its digits is 169344, while the sum is 42.

The spelling of 11324461776 in words is "eleven billion, three hundred twenty-four million, four hundred sixty-one thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 456 912 12417173 24834346 37251519 49668692 74503038 99337384 149006076 198674768 235926287 298012152 471852574 596024304 707778861 943705148 1415557722 1887410296 2831115444 3774820592 5662230888 11324461776