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11332624017 = 3111326416373
BaseRepresentation
bin10101000110111101…
…00001111010010001
31002020210022221121110
422203132201322101
5141202122432032
65112305243533
7550555500111
oct124336417221
932223287543
1011332624017
114895a75180
1222433335a9
1310b7b088b0
14797137041
15464d947cc
hex2a37a1e91

11332624017 has 16 divisors (see below), whose sum is σ = 17751803328. Its totient is φ = 6339929280.

The previous prime is 11332624003. The next prime is 11332624049. The reversal of 11332624017 is 71042623311.

It is a happy number.

11332624017 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11332624017 - 24 = 11332624001 is a prime.

It is a super-2 number, since 2×113326240172 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11332624097) 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 15 ways as a sum of consecutive naturals, for example, 13207758 + ... + 13208615.

It is an arithmetic number, because the mean of its divisors is an integer number (1109487708).

Almost surely, 211332624017 is an apocalyptic number.

It is an amenable number.

11332624017 is a deficient number, since it is larger than the sum of its proper divisors (6419179311).

11332624017 is a wasteful number, since it uses less digits than its factorization.

11332624017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26416400.

The product of its (nonzero) digits is 6048, while the sum is 30.

The spelling of 11332624017 in words is "eleven billion, three hundred thirty-two million, six hundred twenty-four thousand, seventeen".

Divisors: 1 3 11 13 33 39 143 429 26416373 79249119 290580103 343412849 871740309 1030238547 3777541339 11332624017