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12195526656 = 211319104471
BaseRepresentation
bin10110101101110100…
…01111100000000000
31011110221000221111110
423112322033200000
5144434023323111
65334052243320
7611134160205
oct132672174000
934427027443
1012195526656
115199069755
122444310540
1311c4813981
14839997cac
154b59e45a6
hex2d6e8f800

12195526656 has 96 divisors (see below), whose sum is σ = 34225027200. Its totient is φ = 3851182080.

The previous prime is 12195526639. The next prime is 12195526661. The reversal of 12195526656 is 65662559121.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 64501 + ... + 168971.

It is an arithmetic number, because the mean of its divisors is an integer number (356510700).

Almost surely, 212195526656 is an apocalyptic number.

12195526656 is a gapful number since it is divisible by the number (16) 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 12195526656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17112513600).

12195526656 is an abundant number, since it is smaller than the sum of its proper divisors (22029500544).

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

12195526656 is a wasteful number, since it uses less digits than its factorization.

12195526656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104515 (or 104495 counting only the distinct ones).

The product of its digits is 972000, while the sum is 48.

The spelling of 12195526656 in words is "twelve billion, one hundred ninety-five million, five hundred twenty-six thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 256 304 384 456 512 608 768 912 1024 1216 1536 1824 2048 2432 3072 3648 4864 6144 7296 9728 14592 19456 29184 38912 58368 104471 116736 208942 313413 417884 626826 835768 1253652 1671536 1984949 2507304 3343072 3969898 5014608 5954847 6686144 7939796 10029216 11909694 13372288 15879592 20058432 23819388 26744576 31759184 40116864 47638776 53489152 63518368 80233728 95277552 106978304 127036736 160467456 190555104 213956608 254073472 320934912 381110208 508146944 641869824 762220416 1016293888 1524440832 2032587776 3048881664 4065175552 6097763328 12195526656