Search a number
-
+
20260563365364 = 22372111621705191
BaseRepresentation
bin1001001101101010001111…
…01011101010110111110100
32122201220001111101220220020
410212311013223222313310
510123422113210142424
6111031324015205140
74160530435052130
oct446650753526764
978656044356806
1020260563365364
116501502912003
1223327718167b0
13b3c74199cb7a
1450088b9603c0
15252055241079
hex126d47aeadf4

20260563365364 has 96 divisors (see below), whose sum is σ = 54317791782912. Its totient is φ = 5757735312000.

The previous prime is 20260563365351. The next prime is 20260563365369. The reversal of 20260563365364 is 46356336506202.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20260563365369) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28378009 + ... + 29083199.

It is an arithmetic number, because the mean of its divisors is an integer number (565810331072).

Almost surely, 220260563365364 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20260563365364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27158895891456).

20260563365364 is an abundant number, since it is smaller than the sum of its proper divisors (34057228417548).

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

20260563365364 is a wasteful number, since it uses less digits than its factorization.

20260563365364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 707037 (or 707035 counting only the distinct ones).

The product of its (nonzero) digits is 13996800, while the sum is 51.

The spelling of 20260563365364 in words is "twenty trillion, two hundred sixty billion, five hundred sixty-three million, three hundred sixty-five thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 211 422 633 844 1266 1477 1621 2532 2954 3242 4431 4863 5908 6484 8862 9726 11347 17724 19452 22694 34041 45388 68082 136164 342031 684062 705191 1026093 1368124 1410382 2052186 2115573 2394217 2820764 4104372 4231146 4788434 4936337 7182651 8462292 9576868 9872674 14365302 14809011 19745348 28730604 29618022 59236044 148795301 297590602 446385903 595181204 892771806 1041567107 1143114611 1785543612 2083134214 2286229222 3124701321 3429343833 4166268428 4572458444 6249402642 6858687666 8001802277 12498805284 13717375332 16003604554 24005406831 32007209108 48010813662 96021627324 241197182921 482394365842 723591548763 964788731684 1447183097526 1688380280447 2894366195052 3376760560894 5065140841341 6753521121788 10130281682682 20260563365364