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58143734766 = 23413125921929
BaseRepresentation
bin110110001001101000…
…101111101111101110
312120002010200202120000
4312021220233233232
51423034244003031
642413314005130
74125566406465
oct661150575756
9176063622500
1058143734766
1122727693567
12b3282767a6
135637cca0b0
142b581319dc
1517a47d33e6
hexd89a2fbee

58143734766 has 80 divisors (see below), whose sum is σ = 140424807600. Its totient is φ = 17875354752.

The previous prime is 58143734749. The next prime is 58143734771. The reversal of 58143734766 is 66743734185.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 2640490 + ... + 2662418.

It is an arithmetic number, because the mean of its divisors is an integer number (1755310095).

Almost surely, 258143734766 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58143734766, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70212403800).

58143734766 is an abundant number, since it is smaller than the sum of its proper divisors (82281072834).

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

58143734766 is a wasteful number, since it uses less digits than its factorization.

58143734766 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23215 (or 23206 counting only the distinct ones).

The product of its digits is 10160640, while the sum is 54.

The spelling of 58143734766 in words is "fifty-eight billion, one hundred forty-three million, seven hundred thirty-four thousand, seven hundred sixty-six".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 234 351 702 1053 1259 2106 2518 3777 7554 11331 16367 21929 22662 32734 33993 43858 49101 65787 67986 98202 101979 131574 147303 197361 203958 285077 294606 394722 441909 570154 592083 855231 883818 1184166 1325727 1710462 1776249 2565693 2651454 3552498 5131386 7697079 15394158 23091237 27608611 46182474 55217222 82825833 165651666 248477499 358911943 496954998 717823886 745432497 1076735829 1490864994 2153471658 2236297491 3230207487 4472594982 6460414974 9690622461 19381244922 29071867383 58143734766