Search a number
-
+
20706072296 = 23721331131071
BaseRepresentation
bin10011010010001011…
…011001011011101000
31222110001010110100112
4103102023121123220
5314401223303141
613302350553452
71332054465500
oct232213313350
958401113315
1020706072296
118866046648
12401a508888
131c4ca61bb0
141005da0a00
15812c3c7eb
hex4d22d96e8

20706072296 has 96 divisors (see below), whose sum is σ = 50205818880. Its totient is φ = 7927113600.

The previous prime is 20706072281. The next prime is 20706072307. The reversal of 20706072296 is 69227060702.

It is a happy number.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

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 23 ways as a sum of consecutive naturals, for example, 92441 + ... + 223511.

It is an arithmetic number, because the mean of its divisors is an integer number (522977280).

Almost surely, 220706072296 is an apocalyptic number.

20706072296 is a gapful number since it is divisible by the number (26) 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 20706072296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25102909440).

20706072296 is an abundant number, since it is smaller than the sum of its proper divisors (29499746584).

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

20706072296 is a wasteful number, since it uses less digits than its factorization.

20706072296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131135 (or 131124 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 41.

The spelling of 20706072296 in words is "twenty billion, seven hundred six million, seventy-two thousand, two hundred ninety-six".

Divisors: 1 2 4 7 8 13 14 26 28 31 49 52 56 62 91 98 104 124 182 196 217 248 364 392 403 434 637 728 806 868 1274 1519 1612 1736 2548 2821 3038 3224 5096 5642 6076 11284 12152 19747 22568 39494 78988 131071 157976 262142 524284 917497 1048568 1703923 1834994 3407846 3669988 4063201 6422479 6815692 7339976 8126402 11927461 12844958 13631384 16252804 23854922 25689916 28442407 32505608 47709844 51379832 52821613 56884814 83492227 95419688 105643226 113769628 166984454 199096849 211286452 227539256 333968908 369751291 398193698 422572904 667937816 739502582 796387396 1479005164 1592774792 2588259037 2958010328 5176518074 10353036148 20706072296