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518425558040 = 235136116979631
BaseRepresentation
bin1111000101101001001…
…00100011110000011000
31211120010222011001011002
413202310210203300120
531443213420324130
61034054510524132
752312032351425
oct7426444436030
91746128131132
10518425558040
1118a954791a15
1284583806648
1339b6c59ab40
141b140388d4c
15d74354cb45
hex78b4923c18

518425558040 has 128 divisors (see below), whose sum is σ = 1277663224320. Its totient is φ = 188150169600.

The previous prime is 518425558039. The next prime is 518425558043. The reversal of 518425558040 is 40855524815.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (518425558043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53824025 + ... + 53833655.

It is an arithmetic number, because the mean of its divisors is an integer number (9981743940).

Almost surely, 2518425558040 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 518425558040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638831612160).

518425558040 is an abundant number, since it is smaller than the sum of its proper divisors (759237666280).

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

518425558040 is a wasteful number, since it uses less digits than its factorization.

518425558040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11413 (or 11409 counting only the distinct ones).

The product of its (nonzero) digits is 1280000, while the sum is 47.

The spelling of 518425558040 in words is "five hundred eighteen billion, four hundred twenty-five million, five hundred fifty-eight thousand, forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 61 65 104 122 130 244 260 305 488 520 610 793 1220 1586 1697 2440 3172 3394 3965 6344 6788 7930 8485 9631 13576 15860 16970 19262 22061 31720 33940 38524 44122 48155 67880 77048 88244 96310 103517 110305 125203 176488 192620 207034 220610 250406 385240 414068 441220 500812 517585 587491 626015 828136 882440 1001624 1035170 1174982 1252030 1345721 2070340 2349964 2504060 2691442 2937455 4140680 4699928 5008120 5382884 5874910 6728605 7637383 10765768 11749820 13457210 15274766 16343807 23499640 26914420 30549532 32687614 38186915 53828840 61099064 65375228 76373830 81719035 130750456 152747660 163438070 212469491 305495320 326876140 424938982 653752280 849877964 996972227 1062347455 1699755928 1993944454 2124694910 3987888908 4249389820 4984861135 7975777816 8498779640 9969722270 12960638951 19939444540 25921277902 39878889080 51842555804 64803194755 103685111608 129606389510 259212779020 518425558040