Search a number
-
+
12238455078 = 234598315427
BaseRepresentation
bin10110110010111100…
…00000000100100110
31011120220210221020000
423121132000010212
5200031021030303
65342224322130
7612165103023
oct133136000446
934526727200
1012238455078
11521031a493
122456773346
1312006943c5
1484157054a
154b9673da3
hex2d9780126

12238455078 has 80 divisors (see below), whose sum is σ = 28225834560. Its totient is φ = 3961767024.

The previous prime is 12238455029. The next prime is 12238455083. The reversal of 12238455078 is 87055483221.

12238455078 is a `hidden beast` number, since 1 + 2 + 23 + 8 + 4 + 550 + 78 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 785601 + ... + 801027.

It is an arithmetic number, because the mean of its divisors is an integer number (352822932).

Almost surely, 212238455078 is an apocalyptic number.

12238455078 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12238455078, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14112917280).

12238455078 is an abundant number, since it is smaller than the sum of its proper divisors (15987379482).

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

12238455078 is a wasteful number, since it uses less digits than its factorization.

12238455078 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15583 (or 15574 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 12238455078 in words is "twelve billion, two hundred thirty-eight million, four hundred fifty-five thousand, seventy-eight".

Divisors: 1 2 3 6 9 18 27 54 59 81 83 118 162 166 177 249 354 498 531 747 1062 1494 1593 2241 3186 4482 4779 4897 6723 9558 9794 13446 14691 15427 29382 30854 44073 46281 88146 92562 132219 138843 264438 277686 396657 416529 793314 833058 910193 1249587 1280441 1820386 2499174 2560882 2730579 3841323 5461158 7682646 8191737 11523969 16383474 23047938 24575211 34571907 49150422 69143814 73725633 75546019 103715721 147451266 151092038 207431442 226638057 453276114 679914171 1359828342 2039742513 4079485026 6119227539 12238455078