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22004464626664 = 23132221946310067
BaseRepresentation
bin1010000000011010100000…
…10011000010101111101000
32212220121100222021220000221
411000031100103002233220
510341010120421023124
6114444413403335424
74430525101152142
oct500152023025750
985817328256027
1022004464626664
11701404a698a23
122574742821574
13c380207b7c20
14561043a49c92
152825becb5ce4
hex1403504c2be8

22004464626664 has 64 divisors (see below), whose sum is σ = 44461211034240. Its totient is φ = 10149253067520.

The previous prime is 22004464626649. The next prime is 22004464626679. The reversal of 22004464626664 is 46662646440022.

It is an interprime number because it is at equal distance from previous prime (22004464626649) and next prime (22004464626679).

It is a super-2 number, since 2×220044646266642 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

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 15 ways as a sum of consecutive naturals, for example, 2185796559 + ... + 2185806625.

It is an arithmetic number, because the mean of its divisors is an integer number (694706422410).

Almost surely, 222004464626664 is an apocalyptic number.

It is an amenable number.

22004464626664 is an abundant number, since it is smaller than the sum of its proper divisors (22456746407576).

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

22004464626664 is a wasteful number, since it uses less digits than its factorization.

22004464626664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21770 (or 21766 counting only the distinct ones).

The product of its (nonzero) digits is 15925248, while the sum is 52.

The spelling of 22004464626664 in words is "twenty-two trillion, four billion, four hundred sixty-four million, six hundred twenty-six thousand, six hundred sixty-four".

Divisors: 1 2 4 8 13 26 52 104 2221 4442 8884 9463 10067 17768 18926 20134 28873 37852 40268 57746 75704 80536 115492 123019 130871 230984 246038 261742 492076 523484 984152 1046968 21017323 22358807 42034646 44717614 84069292 89435228 95264021 168138584 178870456 190528042 273225199 290664491 381056084 546450398 581328982 762112168 1092900796 1162657964 1238432273 2185801592 2325315928 2476864546 4953729092 9907458184 211581390641 423162781282 846325562564 1692651125128 2750558078333 5501116156666 11002232313332 22004464626664