Search a number
-
+
20811841736 = 2372413593607
BaseRepresentation
bin10011011000011110…
…111000000011001000
31222201102011002202012
4103120132320003020
5320110312413421
613321045555052
71334510510300
oct233036700310
958642132665
1020811841736
11890a818804
124049a15a88
131c6894576a
141016054600
1581c18195b
hex4d87b80c8

20811841736 has 96 divisors (see below), whose sum is σ = 46642780800. Its totient is φ = 8675170560.

The previous prime is 20811841679. The next prime is 20811841763. The reversal of 20811841736 is 63714811802.

It is a super-3 number, since 3×208118417363 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a junction number, because it is equal to n+sod(n) for n = 20811841693 and 20811841702.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5768045 + ... + 5771651.

It is an arithmetic number, because the mean of its divisors is an integer number (485862300).

Almost surely, 220811841736 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 20811841736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23321390400).

20811841736 is an abundant number, since it is smaller than the sum of its proper divisors (25830939064).

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

20811841736 is a wasteful number, since it uses less digits than its factorization.

20811841736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4027 (or 4016 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 41.

The spelling of 20811841736 in words is "twenty billion, eight hundred eleven million, eight hundred forty-one thousand, seven hundred thirty-six".

Divisors: 1 2 4 7 8 14 28 41 49 56 82 98 164 196 287 328 359 392 574 718 1148 1436 2009 2296 2513 2872 3607 4018 5026 7214 8036 10052 14428 14719 16072 17591 20104 25249 28856 29438 35182 50498 58876 70364 100996 103033 117752 140728 147887 176743 201992 206066 295774 353486 412132 591548 706972 721231 824264 1035209 1183096 1294913 1413944 1442462 2070418 2589826 2884924 4140836 5179652 5769848 7246463 8281672 9064391 10359304 14492926 18128782 28985852 36257564 53091433 57971704 63450737 72515128 106182866 126901474 212365732 253802948 371640031 424731464 507605896 743280062 1486560124 2601480217 2973120248 5202960434 10405920868 20811841736