Search a number
-
+
12430413204 = 223112316724517
BaseRepresentation
bin10111001001110100…
…10000110110010100
31012002022000102021020
423210322100312110
5200424141210304
65413242521140
7620015524506
oct134472206624
935068012236
1012430413204
1152a970a470
1224aab061b0
1312313941b1
1485cc5bd76
154cb4405d9
hex2e4e90d94

12430413204 has 96 divisors (see below), whose sum is σ = 33215809536. Its totient is φ = 3581297280.

The previous prime is 12430413179. The next prime is 12430413257. The reversal of 12430413204 is 40231403421.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 494754 + ... + 519270.

It is an arithmetic number, because the mean of its divisors is an integer number (345998016).

Almost surely, 212430413204 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 12430413204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16607904768).

12430413204 is an abundant number, since it is smaller than the sum of its proper divisors (20785396332).

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

12430413204 is a wasteful number, since it uses less digits than its factorization.

12430413204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24725 (or 24723 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 12430413204 its reverse (40231403421), we get a palindrome (52661816625).

The spelling of 12430413204 in words is "twelve billion, four hundred thirty million, four hundred thirteen thousand, two hundred four".

Divisors: 1 2 3 4 6 11 12 22 23 33 44 46 66 69 92 132 138 167 253 276 334 501 506 668 759 1002 1012 1518 1837 2004 3036 3674 3841 5511 7348 7682 11022 11523 15364 22044 23046 24517 42251 46092 49034 73551 84502 98068 126753 147102 169004 253506 269687 294204 507012 539374 563891 809061 1078748 1127782 1618122 1691673 2255564 3236244 3383346 4094339 6202801 6766692 8188678 12283017 12405602 16377356 18608403 24566034 24811204 37216806 45037729 49132068 74433612 90075458 94169797 135113187 180150916 188339594 270226374 282509391 376679188 540452748 565018782 1035867767 1130037564 2071735534 3107603301 4143471068 6215206602 12430413204