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11924079132 = 2237832716311
BaseRepresentation
bin10110001101011101…
…10000001000011100
31010210000020222111110
423012232300020130
5143410031013012
65251114222020
7601330000050
oct130656601034
933700228443
1011924079132
115069917159
122389424910
131180502034
148118d7c60
1549bc7573c
hex2c6bb021c

11924079132 has 96 divisors (see below), whose sum is σ = 32304513024. Its totient is φ = 3352881600.

The previous prime is 11924079131. The next prime is 11924079143. The reversal of 11924079132 is 23197042911.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11924079131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1886257 + ... + 1892567.

It is an arithmetic number, because the mean of its divisors is an integer number (336505344).

Almost surely, 211924079132 is an apocalyptic number.

11924079132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11924079132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16152256512).

11924079132 is an abundant number, since it is smaller than the sum of its proper divisors (20380433892).

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

11924079132 is a wasteful number, since it uses less digits than its factorization.

11924079132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6679 (or 6677 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 39.

The spelling of 11924079132 in words is "eleven billion, nine hundred twenty-four million, seventy-nine thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 83 84 166 249 271 332 498 542 581 813 996 1084 1162 1626 1743 1897 2324 3252 3486 3794 5691 6311 6972 7588 11382 12622 18933 22493 22764 25244 37866 44177 44986 67479 75732 88354 89972 132531 134958 157451 176708 265062 269916 314902 472353 523813 530124 629804 944706 1047626 1571439 1710281 1889412 2095252 3142878 3420562 3666691 5130843 6285756 6841124 7333382 10261686 11000073 11971967 14666764 20523372 22000146 23943934 35915901 44000292 47887868 71831802 141953323 143663604 283906646 425859969 567813292 851719938 993673261 1703439876 1987346522 2981019783 3974693044 5962039566 11924079132