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438471372534 = 2313731311394229
BaseRepresentation
bin1100110000101101110…
…11100010111011110110
31112220202211020120211020
412120112323202323312
524140442132410114
6533233031122010
743451505112656
oct6302673427366
91486684216736
10438471372534
11159a55727a58
1270b8b213306
1332469ab72c0
1417317738366
15b6140cdaa9
hex6616ee2ef6

438471372534 has 128 divisors (see below), whose sum is σ = 971814412800. Its totient is φ = 131069352960.

The previous prime is 438471372487. The next prime is 438471372659. The reversal of 438471372534 is 435273174834.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 103679932 + ... + 103684160.

It is an arithmetic number, because the mean of its divisors is an integer number (7592300100).

Almost surely, 2438471372534 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 438471372534, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485907206400).

438471372534 is an abundant number, since it is smaller than the sum of its proper divisors (533343040266).

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

438471372534 is a wasteful number, since it uses less digits than its factorization.

438471372534 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4590.

The product of its digits is 6773760, while the sum is 51.

The spelling of 438471372534 in words is "four hundred thirty-eight billion, four hundred seventy-one million, three hundred seventy-two thousand, five hundred thirty-four".

Divisors: 1 2 3 6 13 26 39 73 78 131 139 146 219 262 278 393 417 438 786 834 949 1703 1807 1898 2847 3406 3614 4229 5109 5421 5694 8458 9563 10147 10218 10842 12687 18209 19126 20294 25374 28689 30441 36418 54627 54977 57378 60882 109254 109954 124319 131911 164931 236717 248638 263822 308717 329862 372957 395733 473434 553999 587831 617434 710151 745914 791466 926151 1107998 1175662 1329257 1420302 1661997 1763493 1852302 2658514 3323994 3526986 3987771 4013321 7201987 7641803 7975542 8026642 12039963 14403974 15283606 17280341 21605961 22925409 24079926 34560682 40441927 42911663 43211922 45850818 51841023 77005861 80883854 85823326 103682046 121325781 128734989 154011722 231017583 242651562 257469978 462035166 525745051 557851619 1001076193 1051490102 1115703238 1577235153 1673554857 2002152386 3003228579 3154470306 3347109714 5621427853 6006457158 11242855706 16864283559 33728567118 73078562089 146157124178 219235686267 438471372534