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20460773300 = 22521121799469
BaseRepresentation
bin10011000011100011…
…101001111110110100
31221210221112222101112
4103003203221332310
5313400424221200
613222145214152
71323015463202
oct230343517664
957727488345
1020460773300
11874a633900
123b70331358
131c10ca7166
14dc158a072
157eb436535
hex4c38e9fb4

20460773300 has 108 divisors (see below), whose sum is σ = 51674466060. Its totient is φ = 7002547200.

The previous prime is 20460773287. The next prime is 20460773309. The reversal of 20460773300 is 337706402.

It can be written as a sum of positive squares in 6 ways, for example, as 424936996 + 20035836304 = 20614^2 + 141548^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20460773309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 155966 + ... + 255434.

Almost surely, 220460773300 is an apocalyptic number.

20460773300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20460773300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25837233030).

20460773300 is an abundant number, since it is smaller than the sum of its proper divisors (31213692760).

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

20460773300 is a wasteful number, since it uses less digits than its factorization.

20460773300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99522 (or 99504 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 32.

The spelling of 20460773300 in words is "twenty billion, four hundred sixty million, seven hundred seventy-three thousand, three hundred".

Divisors: 1 2 4 5 10 11 17 20 22 25 34 44 50 55 68 85 100 110 121 170 187 220 242 275 340 374 425 484 550 605 748 850 935 1100 1210 1700 1870 2057 2420 3025 3740 4114 4675 6050 8228 9350 10285 12100 18700 20570 41140 51425 99469 102850 198938 205700 397876 497345 994690 1094159 1690973 1989380 2188318 2486725 3381946 4376636 4973450 5470795 6763892 8454865 9946900 10941590 12035749 16909730 18600703 21883180 24071498 27353975 33819460 37201406 42274325 48142996 54707950 60178745 74402812 84548650 93003515 109415900 120357490 169097300 186007030 204607733 240714980 300893725 372014060 409215466 465017575 601787450 818430932 930035150 1023038665 1203574900 1860070300 2046077330 4092154660 5115193325 10230386650 20460773300