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12496774320 = 2432520998269
BaseRepresentation
bin10111010001101110…
…11010010010110000
31012020220212220121100
423220313122102300
5201043133234240
65424013124400
7621452554242
oct135067322260
935226786540
1012496774320
115333115568
122509189700
13124205a624
148679b4092
154d219ce30
hex2e8dda4b0

12496774320 has 120 divisors (see below), whose sum is σ = 41993406000. Its totient is φ = 3330482688.

The previous prime is 12496774291. The next prime is 12496774361. The reversal of 12496774320 is 2347769421.

12496774320 is a `hidden beast` number, since 124 + 96 + 7 + 7 + 432 + 0 = 666.

12496774320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×124967743202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1507146 + ... + 1515414.

It is an arithmetic number, because the mean of its divisors is an integer number (349945050).

Almost surely, 212496774320 is an apocalyptic number.

12496774320 is a gapful number since it is divisible by the number (10) 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 12496774320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20996703000).

12496774320 is an abundant number, since it is smaller than the sum of its proper divisors (29496631680).

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

12496774320 is a wasteful number, since it uses less digits than its factorization.

12496774320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10387 (or 10378 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 12496774320 in words is "twelve billion, four hundred ninety-six million, seven hundred seventy-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 2099 4198 6297 8269 8396 10495 12594 16538 16792 18891 20990 24807 25188 31485 33076 33584 37782 41345 41980 49614 50376 62970 66152 74421 75564 82690 83960 94455 99228 100752 124035 125940 132304 148842 151128 165380 167920 188910 198456 248070 251880 297684 302256 330760 372105 377820 396912 496140 503760 595368 661520 744210 755640 992280 1190736 1488420 1511280 1984560 2976840 5953680 17356631 34713262 52069893 69426524 86783155 104139786 138853048 156209679 173566310 208279572 260349465 277706096 312419358 347132620 416559144 520698930 624838716 694265240 781048395 833118288 1041397860 1249677432 1388530480 1562096790 2082795720 2499354864 3124193580 4165591440 6248387160 12496774320