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12421208646 = 23272111916703
BaseRepresentation
bin10111001000101110…
…01001101001000110
31012001122200202222200
423210113021221012
5200414312134041
65412313335330
7616544350200
oct134427115106
935048622880
1012421208646
1152a44a29a0
1224a7a07546
13122c4c0702
1485b943770
154ca7231b6
hex2e45c9a46

12421208646 has 144 divisors (see below), whose sum is σ = 34336493568. Its totient is φ = 3208917600.

The previous prime is 12421208621. The next prime is 12421208707. The reversal of 12421208646 is 64680212421.

12421208646 is a `hidden beast` number, since 1 + 2 + 4 + 2 + 1 + 2 + 0 + 8 + 646 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 12421208646.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1849731 + ... + 1856433.

It is an arithmetic number, because the mean of its divisors is an integer number (238447872).

Almost surely, 212421208646 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12421208646, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17168246784).

12421208646 is an abundant number, since it is smaller than the sum of its proper divisors (21915284922).

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

12421208646 is a wasteful number, since it uses less digits than its factorization.

12421208646 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6927 (or 6917 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 12421208646 in words is "twelve billion, four hundred twenty-one million, two hundred eight thousand, six hundred forty-six".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 49 63 66 77 98 99 126 147 154 191 198 231 294 382 441 462 539 573 693 882 1078 1146 1337 1386 1617 1719 2101 2674 3234 3438 4011 4202 4851 6303 6703 8022 9359 9702 12033 12606 13406 14707 18718 18909 20109 24066 28077 29414 37818 40218 44121 46921 56154 60327 73733 84231 88242 93842 102949 120654 132363 140763 147466 168462 205898 221199 264726 281526 308847 328447 422289 442398 516131 617694 656894 663597 844578 926541 985341 1032262 1280273 1327194 1548393 1853082 1970682 2560546 2956023 3096786 3612917 3840819 4645179 5912046 7225834 7681638 8961911 9290358 10838751 11522457 14083003 17923822 21677502 23044914 26885733 28166006 32516253 42249009 53771466 62733377 65032506 80657199 84498018 98581021 125466754 126747027 161314398 188200131 197162042 253494054 295743063 376400262 564600393 591486126 690067147 887229189 1129200786 1380134294 1774458378 2070201441 4140402882 6210604323 12421208646