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214427664421060 = 225416136711680759
BaseRepresentation
bin110000110000010101010100…
…110001001001000011000100
31001010020002021121121120201011
4300300111110301021003010
5211101140324042433220
62040014413101212004
763110613263411116
oct6060252461110304
91033202247546634
10214427664421060
11623612974a2332
1220071626b61004
13928559909497c
143ad44d640d3b6
1519bcb5041165a
hexc30554c490c4

214427664421060 has 96 divisors (see below), whose sum is σ = 470120500362240. Its totient is φ = 82083022617600.

The previous prime is 214427664421049. The next prime is 214427664421123. The reversal of 214427664421060 is 60124466724412.

It is a junction number, because it is equal to n+sod(n) for n = 214427664420995 and 214427664421013.

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 31 ways as a sum of consecutive naturals, for example, 12516961 + ... + 24197719.

It is an arithmetic number, because the mean of its divisors is an integer number (4897088545440).

Almost surely, 2214427664421060 is an apocalyptic number.

214427664421060 is a gapful number since it is divisible by the number (20) 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 214427664421060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235060250181120).

214427664421060 is an abundant number, since it is smaller than the sum of its proper divisors (255692835941180).

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

214427664421060 is a wasteful number, since it uses less digits than its factorization.

214427664421060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11681237 (or 11681235 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 49.

The spelling of 214427664421060 in words is "two hundred fourteen trillion, four hundred twenty-seven billion, six hundred sixty-four million, four hundred twenty-one thousand, sixty".

Divisors: 1 2 4 5 10 20 41 61 82 122 164 205 244 305 367 410 610 734 820 1220 1468 1835 2501 3670 5002 7340 10004 12505 15047 22387 25010 30094 44774 50020 60188 75235 89548 111935 150470 223870 300940 447740 917867 1835734 3671468 4589335 9178670 11680759 18357340 23361518 46723036 58403795 116807590 233615180 478911119 712526299 957822238 1425052598 1915644476 2394555595 2850105196 3562631495 4286838553 4789111190 7125262990 8573677106 9578222380 14250525980 17147354212 21434192765 29213578259 42868385530 58427156518 85736771060 116854313036 146067891295 175760380673 261497151733 292135782590 351520761346 522994303466 584271565180 703041522692 878801903365 1045988606932 1307485758665 1757603806730 2614971517330 3515207613460 5229943034660 10721383221053 21442766442106 42885532884212 53606916105265 107213832210530 214427664421060