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12104488728 = 23323719992273
BaseRepresentation
bin10110100010111101…
…11101011100011000
31011020120201201221100
423101132331130120
5144242222114403
65321041111400
7605650312413
oct132136753430
934216651840
1012104488728
1151517395a2
122419928560
1311ab9ba487
1482b85ab7a
154aca102a3
hex2d17bd718

12104488728 has 96 divisors (see below), whose sum is σ = 33700680000. Its totient is φ = 3922089984.

The previous prime is 12104488717. The next prime is 12104488751. The reversal of 12104488728 is 82788440121.

12104488728 is a `hidden beast` number, since 121 + 0 + 448 + 87 + 2 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5324200 + ... + 5326472.

It is an arithmetic number, because the mean of its divisors is an integer number (351048750).

Almost surely, 212104488728 is an apocalyptic number.

12104488728 is a gapful number since it is divisible by the number (18) 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 12104488728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16850340000).

12104488728 is an abundant number, since it is smaller than the sum of its proper divisors (21596191272).

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

12104488728 is a wasteful number, since it uses less digits than its factorization.

12104488728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4321 (or 4314 counting only the distinct ones).

The product of its (nonzero) digits is 229376, while the sum is 45.

The spelling of 12104488728 in words is "twelve billion, one hundred four million, four hundred eighty-eight thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 72 74 111 148 222 296 333 444 666 888 1332 1999 2273 2664 3998 4546 5997 6819 7996 9092 11994 13638 15992 17991 18184 20457 23988 27276 35982 40914 47976 54552 71964 73963 81828 84101 143928 147926 163656 168202 221889 252303 295852 336404 443778 504606 591704 665667 672808 756909 887556 1009212 1331334 1513818 1775112 2018424 2662668 3027636 4543727 5325336 6055272 9087454 13631181 18174908 27262362 36349816 40893543 54524724 81787086 109049448 163574172 168117899 327148344 336235798 504353697 672471596 1008707394 1344943192 1513061091 2017414788 3026122182 4034829576 6052244364 12104488728