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21103944876 = 22337241115831
BaseRepresentation
bin10011101001111001…
…001010010010101100
32000110202210110221000
4103221321022102230
5321210102214001
613410042440300
71344655400040
oct235171122254
960422713830
1021103944876
118a4a699163
12410b803090
131cb430a061
141042b70020
15837b30a86
hex4e9e4a4ac

21103944876 has 96 divisors (see below), whose sum is σ = 62790210560. Its totient is φ = 6004627200.

The previous prime is 21103944863. The next prime is 21103944877. The reversal of 21103944876 is 67844930112.

21103944876 is a `hidden beast` number, since 211 + 0 + 394 + 48 + 7 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (21103944877) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 124281 + ... + 240111.

Almost surely, 221103944876 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 21103944876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31395105280).

21103944876 is an abundant number, since it is smaller than the sum of its proper divisors (41686265684).

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

21103944876 is a wasteful number, since it uses less digits than its factorization.

21103944876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116092 (or 116084 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 21103944876 in words is "twenty-one billion, one hundred three million, nine hundred forty-four thousand, eight hundred seventy-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 241 252 378 482 723 756 964 1446 1687 2169 2892 3374 4338 5061 6507 6748 8676 10122 13014 15183 20244 26028 30366 45549 60732 91098 115831 182196 231662 347493 463324 694986 810817 1042479 1389972 1621634 2084958 2432451 3127437 3243268 4169916 4864902 6254874 7297353 9729804 12509748 14594706 21892059 27915271 29189412 43784118 55830542 83745813 87568236 111661084 167491626 195406897 251237439 334983252 390813794 502474878 586220691 753712317 781627588 1004949756 1172441382 1507424634 1758662073 2344882764 3014849268 3517324146 5275986219 7034648292 10551972438 21103944876