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21422511520506 = 23231671493383797
BaseRepresentation
bin1001101111011110100010…
…01100000111101011111010
32210211222020122212000211100
410313233101030013223322
510301441300422124011
6113321211012512230
74340503543316025
oct467572114075372
983758218760740
1021422511520506
11690a2662a6928
12249b9ab91b676
13bc51989c9635
14540bd851c1bc
152723ae4b5d56
hex137bd1307afa

21422511520506 has 96 divisors (see below), whose sum is σ = 48660526407168. Its totient is φ = 6802768748160.

The previous prime is 21422511520499. The next prime is 21422511520523. The reversal of 21422511520506 is 60502511522412.

21422511520506 is a `hidden beast` number, since 2 + 1 + 42 + 2 + 511 + 52 + 0 + 50 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55625400 + ... + 56009196.

It is an arithmetic number, because the mean of its divisors is an integer number (506880483408).

Almost surely, 221422511520506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21422511520506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24330263203584).

21422511520506 is an abundant number, since it is smaller than the sum of its proper divisors (27238014886662).

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

21422511520506 is a wasteful number, since it uses less digits than its factorization.

21422511520506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385396 (or 385393 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The spelling of 21422511520506 in words is "twenty-one trillion, four hundred twenty-two billion, five hundred eleven million, five hundred twenty thousand, five hundred six".

Divisors: 1 2 3 6 9 18 31 62 67 93 134 186 201 279 402 558 603 1206 1493 2077 2986 4154 4479 6231 8958 12462 13437 18693 26874 37386 46283 92566 100031 138849 200062 277698 300093 383797 416547 600186 767594 833094 900279 1151391 1800558 2302782 3100961 3454173 6201922 6908346 9302883 11897707 18605766 23795414 25714399 27908649 35693121 51428798 55817298 71386242 77143197 107079363 154286394 214158726 231429591 462859182 573008921 797146369 1146017842 1594292738 1719026763 2391439107 3438053526 4782878214 5157080289 7174317321 10314160578 14348634642 17763276551 35526553102 38391597707 53289829653 76783195414 106579659306 115174793121 159869488959 230349586242 319738977918 345524379363 691048758726 1190139528917 2380279057834 3570418586751 7140837173502 10711255760253 21422511520506