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20513533700 = 225211163191599
BaseRepresentation
bin10011000110101100…
…111010111100000100
31221221121211111001102
4103012230322330010
5314002431034300
613231312115232
71324226105462
oct230654727404
957847744042
1020513533700
11877739a540
123b85b35b18
131c1bbbab2a
14dc85a1832
15800da90d5
hex4c6b3af04

20513533700 has 144 divisors (see below), whose sum is σ = 49196851200. Its totient is φ = 7362576000.

The previous prime is 20513533679. The next prime is 20513533811. The reversal of 20513533700 is 733531502.

It is a super-2 number, since 2×205135337002 (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, 34246001 + ... + 34246599.

It is an arithmetic number, because the mean of its divisors is an integer number (341644800).

Almost surely, 220513533700 is an apocalyptic number.

20513533700 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 20513533700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24598425600).

20513533700 is an abundant number, since it is smaller than the sum of its proper divisors (28683317500).

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

20513533700 is a wasteful number, since it uses less digits than its factorization.

20513533700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 978 (or 971 counting only the distinct ones).

The product of its (nonzero) digits is 9450, while the sum is 29.

The spelling of 20513533700 in words is "twenty billion, five hundred thirteen million, five hundred thirty-three thousand, seven hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 163 191 220 275 326 382 550 599 652 764 815 955 1100 1198 1630 1793 1910 2101 2396 2995 3260 3586 3820 4075 4202 4775 5990 6589 7172 8150 8404 8965 9550 10505 11980 13178 14975 16300 17930 19100 21010 26356 29950 31133 32945 35860 42020 44825 52525 59900 62266 65890 89650 97637 105050 114409 124532 131780 155665 164725 179300 195274 210100 228818 311330 329450 342463 390548 457636 488185 572045 622660 658900 684926 778325 976370 1074007 1144090 1258499 1369852 1556650 1712315 1952740 2148014 2288180 2440925 2516998 2860225 3113300 3424630 4296028 4881850 5033996 5370035 5720450 6292495 6849260 8561575 9763700 10740070 11440900 12584990 17123150 18648667 21480140 25169980 26850175 31462475 34246300 37297334 53700350 62924950 74594668 93243335 107400700 125849900 186486670 205135337 372973340 410270674 466216675 820541348 932433350 1025676685 1864866700 2051353370 4102706740 5128383425 10256766850 20513533700