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12273089696 = 257479471231
BaseRepresentation
bin10110110111000100…
…00111110010100000
31011200022222112222122
423123202013302200
5200113402332241
65345502523412
7613065353420
oct133342076240
934608875878
1012273089696
115228925a3a
122466296568
1312078cca6a
14845dc8480
154bc71604b
hex2db887ca0

12273089696 has 96 divisors (see below), whose sum is σ = 28254707712. Its totient is φ = 5138369280.

The previous prime is 12273089693. The next prime is 12273089707. The reversal of 12273089696 is 69698037221.

It is a happy number.

It is a super-2 number, since 2×122730896962 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12273089693) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9969401 + ... + 9970631.

It is an arithmetic number, because the mean of its divisors is an integer number (294319872).

Almost surely, 212273089696 is an apocalyptic number.

12273089696 is a gapful number since it is divisible by the number (16) 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 12273089696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14127353856).

12273089696 is an abundant number, since it is smaller than the sum of its proper divisors (15981618016).

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

12273089696 is a wasteful number, since it uses less digits than its factorization.

12273089696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2242 (or 2234 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 53.

The spelling of 12273089696 in words is "twelve billion, two hundred seventy-three million, eighty-nine thousand, six hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 47 56 94 112 188 224 329 376 658 752 947 1231 1316 1504 1894 2462 2632 3788 4924 5264 6629 7576 8617 9848 10528 13258 15152 17234 19696 26516 30304 34468 39392 44509 53032 57857 68936 89018 106064 115714 137872 178036 212128 231428 275744 311563 356072 404999 462856 623126 712144 809998 925712 1165757 1246252 1424288 1619996 1851424 2331514 2492504 3239992 4663028 4985008 6479984 8160299 9326056 9970016 12959968 16320598 18652112 32641196 37304224 54790579 65282392 109581158 130564784 219162316 261129568 383534053 438324632 767068106 876649264 1534136212 1753298528 3068272424 6136544848 12273089696