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20452900122 = 2322967738011
BaseRepresentation
bin10011000011000101…
…100111110100011010
31221210101201222102100
4103003011213310122
5313341420300442
613221304344230
71322561532264
oct230305476432
957711658370
1020452900122
118746146646
123b69775076
131c0c47b685
14dc04dab34
157ea8cd84c
hex4c3167d1a

20452900122 has 96 divisors (see below), whose sum is σ = 47170169280. Its totient is φ = 6394671360.

The previous prime is 20452900099. The next prime is 20452900147. The reversal of 20452900122 is 22100925402.

It is a happy number.

20452900122 is a `hidden beast` number, since 2 + 0 + 452 + 90 + 0 + 122 = 666.

It is a super-2 number, since 2×204529001222 (a number of 21 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 2549097 + ... + 2557107.

It is an arithmetic number, because the mean of its divisors is an integer number (491355930).

Almost surely, 220452900122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20452900122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23585084640).

20452900122 is an abundant number, since it is smaller than the sum of its proper divisors (26717269158).

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

20452900122 is a wasteful number, since it uses less digits than its factorization.

20452900122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8188 (or 8185 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 20452900122 in words is "twenty billion, four hundred fifty-two million, nine hundred thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 29 58 67 73 87 134 146 174 201 219 261 402 438 522 603 657 1206 1314 1943 2117 3886 4234 4891 5829 6351 8011 9782 11658 12702 14673 16022 17487 19053 24033 29346 34974 38106 44019 48066 72099 88038 141839 144198 232319 283678 425517 464638 536737 584803 696957 851034 1073474 1169606 1276551 1393914 1610211 1754409 2090871 2553102 3220422 3508818 4181742 4830633 5263227 9661266 10526454 15565373 16959287 31130746 33918574 39181801 46696119 50877861 78363602 93392238 101755722 117545403 140088357 152633583 235090806 280176714 305267166 352636209 705272418 1136272229 2272544458 3408816687 6817633374 10226450061 20452900122