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11834788662 = 2374165993
BaseRepresentation
bin10110000010110100…
…01000101100110110
31010112210020120000000
423001122020230312
5143214201214122
65234204332130
7566164021014
oct130132105466
933483216000
1011834788662
11502347a984
122363544046
131167b6b038
14803ad38b4
15493ed90ac
hex2c1688b36

11834788662 has 64 divisors (see below), whose sum is σ = 27274000320. Its totient is φ = 3848653440.

The previous prime is 11834788643. The next prime is 11834788673. The reversal of 11834788662 is 26688743811.

11834788662 is a `hidden beast` number, since 11 + 83 + 478 + 86 + 6 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 11834788599 and 11834788608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 146338 + ... + 212330.

It is an arithmetic number, because the mean of its divisors is an integer number (426156255).

Almost surely, 211834788662 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11834788662, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13637000160).

11834788662 is an abundant number, since it is smaller than the sum of its proper divisors (15439211658).

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

11834788662 is an frugal number, since it uses more digits than its factorization.

11834788662 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66057 (or 66039 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 54.

The spelling of 11834788662 in words is "eleven billion, eight hundred thirty-four million, seven hundred eighty-eight thousand, six hundred sixty-two".

Divisors: 1 2 3 6 9 18 27 41 54 81 82 123 162 243 246 369 486 729 738 1107 1458 2187 2214 3321 4374 6642 9963 19926 29889 59778 65993 89667 131986 179334 197979 395958 593937 1187874 1781811 2705713 3563622 5345433 5411426 8117139 10690866 16036299 16234278 24351417 32072598 48108897 48702834 73054251 96217794 144326691 146108502 219162753 288653382 438325506 657488259 1314976518 1972464777 3944929554 5917394331 11834788662