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21682260936 = 23327227189517
BaseRepresentation
bin10100001100010111…
…010000101111001000
32001222001222222102100
4110030113100233020
5323401124322221
613543302033400
71365210114510
oct241427205710
961861888370
1021682260936
119217086616
124251418860
132077082bcb
1410998b0840
1586d7b8926
hex50c5d0bc8

21682260936 has 96 divisors (see below), whose sum is σ = 67407762240. Its totient is φ = 6167608704.

The previous prime is 21682260917. The next prime is 21682260979. The reversal of 21682260936 is 63906228612.

21682260936 is a `hidden beast` number, since 2 + 1 + 6 + 8 + 2 + 2 + 609 + 36 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 21682260891 and 21682260900.

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, 19650 + ... + 209166.

It is an arithmetic number, because the mean of its divisors is an integer number (702164190).

Almost surely, 221682260936 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 21682260936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33703881120).

21682260936 is an abundant number, since it is smaller than the sum of its proper divisors (45725501304).

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

21682260936 is a wasteful number, since it uses less digits than its factorization.

21682260936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189763 (or 189756 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 21682260936 in words is "twenty-one billion, six hundred eighty-two million, two hundred sixty thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 227 252 454 504 681 908 1362 1589 1816 2043 2724 3178 4086 4767 5448 6356 8172 9534 12712 14301 16344 19068 28602 38136 57204 114408 189517 379034 568551 758068 1137102 1326619 1516136 1705653 2274204 2653238 3411306 3979857 4548408 5306476 6822612 7959714 10612952 11939571 13645224 15919428 23879142 31838856 43020359 47758284 86040718 95516568 129061077 172081436 258122154 301142513 344162872 387183231 516244308 602285026 774366462 903427539 1032488616 1204570052 1548732924 1806855078 2409140104 2710282617 3097465848 3613710156 5420565234 7227420312 10841130468 21682260936