Search a number
-
+
5859143472 = 2437132103183
BaseRepresentation
bin1010111010011101…
…10110111100110000
3120010100000022211210
411131032312330300
543444420042342
62405221440120
7265123616640
oct53516667460
916110008753
105859143472
112537374236
121176270040
13724b4b900
143d8224520
152445b279c
hex15d3b6f30

5859143472 has 120 divisors (see below), whose sum is σ = 18731610624. Its totient is φ = 1545253632.

The previous prime is 5859143471. The next prime is 5859143489. The reversal of 5859143472 is 2743419585.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (5859143471) by changing a digit.

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, 5193 + ... + 108375.

Almost surely, 25859143472 is an apocalyptic number.

5859143472 is a gapful number since it is divisible by the number (52) 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 5859143472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9365805312).

5859143472 is an abundant number, since it is smaller than the sum of its proper divisors (12872467152).

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

5859143472 is a wasteful number, since it uses less digits than its factorization.

5859143472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103227 (or 103208 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 48.

The square root of 5859143472 is about 76545.0421124713. The cubic root of 5859143472 is about 1802.7882170669.

It can be divided in two parts, 5859 and 143472, that added together give a triangular number (149331 = T546).

The spelling of 5859143472 in words is "five billion, eight hundred fifty-nine million, one hundred forty-three thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 104 112 156 168 169 182 208 273 312 336 338 364 507 546 624 676 728 1014 1092 1183 1352 1456 2028 2184 2366 2704 3549 4056 4368 4732 7098 8112 9464 14196 18928 28392 56784 103183 206366 309549 412732 619098 722281 825464 1238196 1341379 1444562 1650928 2166843 2476392 2682758 2889124 4024137 4333686 4952784 5365516 5778248 8048274 8667372 9389653 10731032 11556496 16096548 17334744 17437927 18779306 21462064 28168959 32193096 34669488 34875854 37558612 52313781 56337918 64386192 69751708 75117224 104627562 112675836 122065489 139503416 150234448 209255124 225351672 244130978 279006832 366196467 418510248 450703344 488261956 732392934 837020496 976523912 1464785868 1953047824 2929571736 5859143472