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11601862668 = 22321129297633
BaseRepresentation
bin10101100111000011…
…00110000000001100
31002221112221200121100
422303201212000030
5142230034101133
65155124103100
7560335130334
oct126341460014
932845850540
1011601862668
114a13a49160
1222b9534a90
13112b825cc6
147c0bc00c4
1547d828e13
hex2b386600c

11601862668 has 36 divisors (see below), whose sum is σ = 31993016328. Its totient is φ = 3515715840.

The previous prime is 11601862667. The next prime is 11601862691. The reversal of 11601862668 is 86626810611.

11601862668 is a `hidden beast` number, since 1 + 1 + 6 + 0 + 18 + 626 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (11601862667) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14648421 + ... + 14649212.

It is an arithmetic number, because the mean of its divisors is an integer number (888694898).

Almost surely, 211601862668 is an apocalyptic number.

11601862668 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

11601862668 is an abundant number, since it is smaller than the sum of its proper divisors (20391153660).

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

11601862668 is a wasteful number, since it uses less digits than its factorization.

11601862668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29297654 (or 29297649 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 11601862668 in words is "eleven billion, six hundred one million, eight hundred sixty-two thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 29297633 58595266 87892899 117190532 175785798 263678697 322273963 351571596 527357394 644547926 966821889 1054714788 1289095852 1933643778 2900465667 3867287556 5800931334 11601862668