Search a number
-
+
20971110560958 = 23621168168141
BaseRepresentation
bin1001100010010101101111…
…00110000111010010111110
32202020211002202022101000000
410301022313212013102332
510222042313300422313
6112333554543415130
74263053445422055
oct461126746072276
982224082271000
1020971110560958
116755886217878
1224284125b44a6
13b9174b2c513c
1452701594739c
15265790243673
hex1312b79874be

20971110560958 has 56 divisors (see below), whose sum is σ = 47386947575016. Its totient is φ = 6957240368400.

The previous prime is 20971110560951. The next prime is 20971110560963. The reversal of 20971110560958 is 85906501117902.

It is a happy number.

20971110560958 is a `hidden beast` number, since 2 + 0 + 9 + 7 + 11 + 10 + 5 + 609 + 5 + 8 = 666.

It is a super-2 number, since 2×209711105609582 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20971110560951) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 33776433 + ... + 34391708.

It is an arithmetic number, because the mean of its divisors is an integer number (846195492411).

Almost surely, 220971110560958 is an apocalyptic number.

20971110560958 is an abundant number, since it is smaller than the sum of its proper divisors (26415837014058).

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

20971110560958 is an equidigital number, since it uses as much as digits as its factorization.

20971110560958 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68168372 (or 68168357 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 54.

The spelling of 20971110560958 in words is "twenty trillion, nine hundred seventy-one billion, one hundred ten million, five hundred sixty thousand, nine hundred fifty-eight".

Divisors: 1 2 3 6 9 18 27 54 81 162 211 243 422 486 633 729 1266 1458 1899 3798 5697 11394 17091 34182 51273 102546 153819 307638 68168141 136336282 204504423 409008846 613513269 1227026538 1840539807 3681079614 5521619421 11043238842 14383477751 16564858263 28766955502 33129716526 43150433253 49694574789 86300866506 99389149578 129451299759 258902599518 388353899277 776707798554 1165061697831 2330123395662 3495185093493 6990370186986 10485555280479 20971110560958