Search a number
-
+
20795379759 = 3271157152553
BaseRepresentation
bin10011010111100000…
…000101000000101111
31222200021011202011100
4103113200011000233
5320042104123014
613315301054143
71334220545220
oct232740050057
958607152140
1020795379759
1189014a4670
1240443b7353
131c6540084b
141013bab247
1581a9ce009
hex4d780502f

20795379759 has 48 divisors (see below), whose sum is σ = 37515988224. Its totient is φ = 10783670400.

The previous prime is 20795379757. The next prime is 20795379763. The reversal of 20795379759 is 95797359702.

20795379759 is a `hidden beast` number, since 2 + 0 + 7 + 9 + 537 + 97 + 5 + 9 = 666.

It is not a de Polignac number, because 20795379759 - 21 = 20795379757 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 20795379696 and 20795379705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20795379757) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 369427 + ... + 421979.

It is an arithmetic number, because the mean of its divisors is an integer number (781583088).

Almost surely, 220795379759 is an apocalyptic number.

20795379759 is a deficient number, since it is larger than the sum of its proper divisors (16720608465).

20795379759 is a wasteful number, since it uses less digits than its factorization.

20795379759 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53148 (or 53145 counting only the distinct ones).

The product of its (nonzero) digits is 37507050, while the sum is 63.

The spelling of 20795379759 in words is "twenty billion, seven hundred ninety-five million, three hundred seventy-nine thousand, seven hundred fifty-nine".

Divisors: 1 3 7 9 11 21 33 63 77 99 231 571 693 1713 3997 5139 6281 11991 18843 35973 43967 52553 56529 131901 157659 367871 395703 472977 578083 1103613 1734249 3310839 4046581 5202747 12139743 30007763 36419229 90023289 210054341 270069867 330085393 630163023 990256179 1890489069 2310597751 2970768537 6931793253 20795379759