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20634246300 = 22352411739697
BaseRepresentation
bin10011001101111001…
…011001110010011100
31222021000222022121110
4103031321121302130
5314224331340200
613251303302020
71330223125323
oct231571316234
958230868543
1020634246300
118829548718
123bba44a910
131c3ac041c5
14dda6250ba
1580b7a0b50
hex4cde59c9c

20634246300 has 144 divisors (see below), whose sum is σ = 61517750112. Its totient is φ = 5336678400.

The previous prime is 20634246271. The next prime is 20634246343. The reversal of 20634246300 is 364243602.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2123052 + ... + 2132748.

It is an arithmetic number, because the mean of its divisors is an integer number (427206598).

Almost surely, 220634246300 is an apocalyptic number.

20634246300 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 20634246300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30758875056).

20634246300 is an abundant number, since it is smaller than the sum of its proper divisors (40883503812).

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

20634246300 is a wasteful number, since it uses less digits than its factorization.

20634246300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9928 (or 9921 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 20634246300 its reverse (364243602), we get a palindrome (20998489902).

The spelling of 20634246300 in words is "twenty billion, six hundred thirty-four million, two hundred forty-six thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 41 50 60 75 82 100 123 150 164 173 205 246 300 346 410 492 519 615 692 820 865 1025 1038 1230 1730 2050 2076 2460 2595 3075 3460 4100 4325 5190 6150 7093 8650 9697 10380 12300 12975 14186 17300 19394 21279 25950 28372 29091 35465 38788 42558 48485 51900 58182 70930 85116 96970 106395 116364 141860 145455 177325 193940 212790 242425 290910 354650 397577 425580 484850 531975 581820 709300 727275 795154 969700 1063950 1192731 1454550 1590308 1677581 1987885 2127900 2385462 2909100 3355162 3975770 4770924 5032743 5963655 6710324 7951540 8387905 9939425 10065486 11927310 16775810 19878850 20130972 23854620 25163715 29818275 33551620 39757700 41939525 50327430 59636550 68780821 83879050 100654860 119273100 125818575 137561642 167758100 206342463 251637150 275123284 343904105 412684926 503274300 687808210 825369852 1031712315 1375616420 1719520525 2063424630 3439041050 4126849260 5158561575 6878082100 10317123150 20634246300