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12356055240 = 2335233457967
BaseRepresentation
bin10111000000111101…
…00111000011001000
31011220010002122022120
423200132213003020
5200301122231430
65402025051240
7615123510444
oct134036470310
934803078276
1012356055240
115270742201
12248a026b20
13121bb5abb9
14853023824
154c4b53610
hex2e07a70c8

12356055240 has 128 divisors (see below), whose sum is σ = 37347298560. Its totient is φ = 3270242304.

The previous prime is 12356055199. The next prime is 12356055247. The reversal of 12356055240 is 4255065321.

It is not an unprimeable number, because it can be changed into a prime (12356055247) 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, 12777237 + ... + 12778203.

It is an arithmetic number, because the mean of its divisors is an integer number (291775770).

Almost surely, 212356055240 is an apocalyptic number.

12356055240 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 12356055240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18673649280).

12356055240 is an abundant number, since it is smaller than the sum of its proper divisors (24991243320).

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

12356055240 is a wasteful number, since it uses less digits than its factorization.

12356055240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1671 (or 1667 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 33.

The spelling of 12356055240 in words is "twelve billion, three hundred fifty-six million, fifty-five thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 233 457 466 699 914 932 967 1165 1371 1398 1828 1864 1934 2285 2330 2742 2796 2901 3495 3656 3868 4570 4660 4835 5484 5592 5802 6855 6990 7736 9140 9320 9670 10968 11604 13710 13980 14505 18280 19340 23208 27420 27960 29010 38680 54840 58020 106481 116040 212962 225311 319443 425924 441919 450622 532405 638886 675933 851848 883838 901244 1064810 1126555 1277772 1325757 1351866 1597215 1767676 1802488 2129620 2209595 2253110 2555544 2651514 2703732 3194430 3379665 3535352 4259240 4419190 4506220 5303028 5407464 6388860 6628785 6759330 8838380 9012440 10606056 12777720 13257570 13518660 17676760 26515140 27037320 53030280 102967127 205934254 308901381 411868508 514835635 617802762 823737016 1029671270 1235605524 1544506905 2059342540 2471211048 3089013810 4118685080 6178027620 12356055240