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12643534624 = 257376722769
BaseRepresentation
bin10111100011001110…
…10000011100100000
31012122011001002220011
423301213100130200
5201343221101444
65450334454304
7625214161660
oct136147203440
935564032804
1012643534624
1153a8a44776
12254a364394
131266593a46
1487d2981a0
154deedc734
hex2f19d0720

12643534624 has 96 divisors (see below), whose sum is σ = 29654190720. Its totient is φ = 5193289728.

The previous prime is 12643534619. The next prime is 12643534639. The reversal of 12643534624 is 42643534621.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 543912 + ... + 566680.

It is an arithmetic number, because the mean of its divisors is an integer number (308897820).

Almost surely, 212643534624 is an apocalyptic number.

12643534624 is a gapful number since it is divisible by the number (14) 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 12643534624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14827095360).

12643534624 is an abundant number, since it is smaller than the sum of its proper divisors (17010656096).

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

12643534624 is a wasteful number, since it uses less digits than its factorization.

12643534624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22890 (or 22882 counting only the distinct ones).

The product of its digits is 414720, while the sum is 40.

The spelling of 12643534624 in words is "twelve billion, six hundred forty-three million, five hundred thirty-four thousand, six hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 37 56 67 74 112 134 148 224 259 268 296 469 518 536 592 938 1036 1072 1184 1876 2072 2144 2479 3752 4144 4958 7504 8288 9916 15008 17353 19832 22769 34706 39664 45538 69412 79328 91076 138824 159383 182152 277648 318766 364304 555296 637532 728608 842453 1275064 1525523 1684906 2550128 3051046 3369812 5100256 5897171 6102092 6739624 10678661 11794342 12204184 13479248 21357322 23588684 24408368 26958496 42714644 47177368 48816736 56444351 85429288 94354736 112888702 170858576 188709472 225777404 341717152 395110457 451554808 790220914 903109616 1580441828 1806219232 3160883656 6321767312 12643534624