Search a number
-
+
20661073500 = 2235350927061
BaseRepresentation
bin10011001111011111…
…101111011001011100
31222022220110021121110
4103033133233121130
5314303213323000
613254102302020
71331000140614
oct231737573134
958286407543
1020661073500
118842701361
124007427910
131c43637ca2
141000009a44
1580dcee850
hex4cf7ef65c

20661073500 has 96 divisors (see below), whose sum is σ = 60285476160. Its totient is φ = 5498592000.

The previous prime is 20661073493. The next prime is 20661073513. The reversal of 20661073500 is 537016602.

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 (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 749970 + ... + 777030.

It is an arithmetic number, because the mean of its divisors is an integer number (627973710).

Almost surely, 220661073500 is an apocalyptic number.

20661073500 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 20661073500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30142738080).

20661073500 is an abundant number, since it is smaller than the sum of its proper divisors (39624402660).

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

20661073500 is a wasteful number, since it uses less digits than its factorization.

20661073500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27592 (or 27580 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The spelling of 20661073500 in words is "twenty billion, six hundred sixty-one million, seventy-three thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 125 150 250 300 375 500 509 750 1018 1500 1527 2036 2545 3054 5090 6108 7635 10180 12725 15270 25450 27061 30540 38175 50900 54122 63625 76350 81183 108244 127250 135305 152700 162366 190875 254500 270610 324732 381750 405915 541220 676525 763500 811830 1353050 1623660 2029575 2706100 3382625 4059150 6765250 8118300 10147875 13530500 13774049 20295750 27548098 40591500 41322147 55096196 68870245 82644294 137740490 165288588 206610735 275480980 344351225 413221470 688702450 826442940 1033053675 1377404900 1721756125 2066107350 3443512250 4132214700 5165268375 6887024500 10330536750 20661073500