Search a number
-
+
12433454000 = 2453111493793
BaseRepresentation
bin10111001010001011…
…10111001110110000
31012002111201220110022
423211011313032300
5200430431012000
65413432023012
7620053421012
oct134505671660
935074656408
1012433454000
1153003a7020
1224abb31a68
131231bba296
1485d4101b2
154cb841585
hex2e51773b0

12433454000 has 160 divisors (see below), whose sum is σ = 33026011200. Its totient is φ = 4489728000.

The previous prime is 12433453993. The next prime is 12433454009. The reversal of 12433454000 is 45433421.

It is not an unprimeable number, because it can be changed into a prime (12433454009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3276104 + ... + 3279896.

It is an arithmetic number, because the mean of its divisors is an integer number (206412570).

Almost surely, 212433454000 is an apocalyptic number.

12433454000 is a gapful number since it is divisible by the number (10) 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 12433454000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16513005600).

12433454000 is an abundant number, since it is smaller than the sum of its proper divisors (20592557200).

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

12433454000 is a wasteful number, since it uses less digits than its factorization.

12433454000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3976 (or 3960 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 26.

Adding to 12433454000 its reverse (45433421), we get a palindrome (12478887421).

The spelling of 12433454000 in words is "twelve billion, four hundred thirty-three million, four hundred fifty-four thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 149 176 200 220 250 275 298 400 440 500 550 596 745 880 1000 1100 1192 1375 1490 1639 2000 2200 2384 2750 2980 3278 3725 3793 4400 5500 5960 6556 7450 7586 8195 11000 11920 13112 14900 15172 16390 18625 18965 22000 26224 29800 30344 32780 37250 37930 40975 41723 59600 60688 65560 74500 75860 81950 83446 94825 131120 149000 151720 163900 166892 189650 204875 208615 298000 303440 327800 333784 379300 409750 417230 474125 565157 655600 667568 758600 819500 834460 948250 1043075 1130314 1517200 1639000 1668920 1896500 2086150 2260628 2825785 3278000 3337840 3793000 4172300 4521256 5215375 5651570 6216727 7586000 8344600 9042512 10430750 11303140 12433454 14128925 16689200 20861500 22606280 24866908 28257850 31083635 41723000 45212560 49733816 56515700 62167270 70644625 83446000 99467632 113031400 124334540 141289250 155418175 226062800 248669080 282578500 310836350 497338160 565157000 621672700 777090875 1130314000 1243345400 1554181750 2486690800 3108363500 6216727000 12433454000