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2082408200600 = 2352713114418033
BaseRepresentation
bin11110010011011001001…
…100110111100110011000
321101002001121102012010212
4132103121030313212120
5233104232444404400
64232351202430252
7303310005436460
oct36233114674630
97332047365125
102082408200600
117331651606a2
12297702362388
131214a7596650
1472b093c0ba0
153927cae2335
hex1e4d9337998

2082408200600 has 96 divisors (see below), whose sum is σ = 5958891210720. Its totient is φ = 659047864320.

The previous prime is 2082408200557. The next prime is 2082408200617. The reversal of 2082408200600 is 60028042802.

It is a happy number.

It is a super-2 number, since 2×20824082006002 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57190817 + ... + 57227216.

It is an arithmetic number, because the mean of its divisors is an integer number (62071783445).

Almost surely, 22082408200600 is an apocalyptic number.

2082408200600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2082408200600 is an abundant number, since it is smaller than the sum of its proper divisors (3876483010120).

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

2082408200600 is a wasteful number, since it uses less digits than its factorization.

2082408200600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114418069 (or 114418060 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The spelling of 2082408200600 in words is "two trillion, eighty-two billion, four hundred eight million, two hundred thousand, six hundred".

Divisors: 1 2 4 5 7 8 10 13 14 20 25 26 28 35 40 50 52 56 65 70 91 100 104 130 140 175 182 200 260 280 325 350 364 455 520 650 700 728 910 1300 1400 1820 2275 2600 3640 4550 9100 18200 114418033 228836066 457672132 572090165 800926231 915344264 1144180330 1487434429 1601852462 2288360660 2860450825 2974868858 3203704924 4004631155 4576721320 5720901650 5949737716 6407409848 7437172145 8009262310 10412041003 11441803300 11899475432 14874344290 16018524620 20023155775 20824082006 22883606600 29748688580 32037049240 37185860725 40046311550 41648164012 52060205015 59497377160 74371721450 80092623100 83296328024 104120410030 148743442900 160185246200 208240820060 260301025075 297486885800 416481640120 520602050150 1041204100300 2082408200600