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11642677732 = 22721728312347
BaseRepresentation
bin10101101011111010…
…10010100111100100
31010001101202022100101
422311331102213210
5142321011141412
65203142553444
7561342061600
oct126575224744
933041668311
1011642677732
114a34a96114
12230b138884
13113711682a
147c63a6500
154821dc457
hex2b5f529e4

11642677732 has 72 divisors (see below), whose sum is σ = 25186067424. Its totient is φ = 4679232768.

The previous prime is 11642677729. The next prime is 11642677733. The reversal of 11642677732 is 23777624611.

It is not an unprimeable number, because it can be changed into a prime (11642677733) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 936783 + ... + 949129.

It is an arithmetic number, because the mean of its divisors is an integer number (349806492).

Almost surely, 211642677732 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11642677732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12593033712).

11642677732 is an abundant number, since it is smaller than the sum of its proper divisors (13543389692).

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

11642677732 is a wasteful number, since it uses less digits than its factorization.

11642677732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12665 (or 12656 counting only the distinct ones).

The product of its digits is 592704, while the sum is 46.

The spelling of 11642677732 in words is "eleven billion, six hundred forty-two million, six hundred seventy-seven thousand, seven hundred thirty-two".

Divisors: 1 2 4 7 14 17 28 34 49 68 98 119 196 238 283 476 566 833 1132 1666 1981 3332 3962 4811 7924 9622 12347 13867 19244 24694 27734 33677 49388 55468 67354 86429 134708 172858 209899 235739 345716 419798 471478 605003 839596 942956 1210006 1469293 2420012 2938586 3494201 5877172 6988402 10285051 13976804 20570102 24459407 41140204 48918814 59401417 97837628 118802834 171215849 237605668 342431698 415809919 684863396 831619838 1663239676 2910669433 5821338866 11642677732