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20346317944806 = 23723313553153407
BaseRepresentation
bin1001010000001001111110…
…00011011011011111100110
32200001002101212202220212010
410220010333003123133212
510131323224343213211
6111134545221335050
74166654504002230
oct450047703333746
980032355686763
1020346317944806
116534909063867
122347304867486
13b4785a0a2579
14504aa4aa1250
152543c3a1a4a6
hex12813f0db7e6

20346317944806 has 64 divisors (see below), whose sum is σ = 46709216206848. Its totient is φ = 5787819383808.

The previous prime is 20346317944801. The next prime is 20346317944811. The reversal of 20346317944806 is 60844971364302.

It is an interprime number because it is at equal distance from previous prime (20346317944801) and next prime (20346317944811).

It is a super-2 number, since 2×203463179448062 (a number of 27 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20346317944801) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 132552955 + ... + 132706361.

It is an arithmetic number, because the mean of its divisors is an integer number (729831503232).

Almost surely, 220346317944806 is an apocalyptic number.

20346317944806 is an abundant number, since it is smaller than the sum of its proper divisors (26362898262042).

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

20346317944806 is a wasteful number, since it uses less digits than its factorization.

20346317944806 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167205.

The product of its (nonzero) digits is 20901888, while the sum is 57.

The spelling of 20346317944806 in words is "twenty trillion, three hundred forty-six billion, three hundred seventeen million, nine hundred forty-four thousand, eight hundred six".

Divisors: 1 2 3 6 7 14 21 42 233 466 699 1398 1631 3262 4893 9786 13553 27106 40659 81318 94871 153407 189742 284613 306814 460221 569226 920442 1073849 2147698 3157849 3221547 6315698 6443094 9473547 18947094 22104943 35743831 44209886 66314829 71487662 107231493 132629658 214462986 250206817 500413634 750620451 1501240902 2079125071 4158250142 6237375213 12474750426 14553875497 29107750994 43661626491 87323252982 484436141543 968872283086 1453308424629 2906616849258 3391052990801 6782105981602 10173158972403 20346317944806