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516245350440344 = 23728150516495079
BaseRepresentation
bin111010101100001011011110…
…0101110101101110110011000
32111200212120111002111012111012
41311120112330232231312120
51020131130434203042334
65025543501233153052
7213511332016345550
oct16530267456556630
92450776432435435
10516245350440344
1113a5454729204a8
1249a979833bb788
131920995c88aa45
14916a5a046c160
153ea3ad63109ce
hex1d585bcbadd98

516245350440344 has 64 divisors (see below), whose sum is σ = 1110396798374400. Its totient is φ = 220416967008000.

The previous prime is 516245350440311. The next prime is 516245350440359. The reversal of 516245350440344 is 443044053542615.

It is a junction number, because it is equal to n+sod(n) for n = 516245350440292 and 516245350440301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76234997 + ... + 82730075.

It is an arithmetic number, because the mean of its divisors is an integer number (17349949974600).

Almost surely, 2516245350440344 is an apocalyptic number.

It is an amenable number.

516245350440344 is an abundant number, since it is smaller than the sum of its proper divisors (594151447934056).

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

516245350440344 is a wasteful number, since it uses less digits than its factorization.

516245350440344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6500424 (or 6500420 counting only the distinct ones).

The product of its (nonzero) digits is 13824000, while the sum is 50.

The spelling of 516245350440344 in words is "five hundred sixteen trillion, two hundred forty-five billion, three hundred fifty million, four hundred forty thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 28 56 281 562 1124 1967 2248 3934 5051 7868 10102 15736 20204 35357 40408 70714 141428 282856 1419331 2838662 5677324 6495079 9935317 11354648 12990158 19870634 25980316 39741268 45465553 51960632 79482536 90931106 181862212 363724424 1825117199 3650234398 7300468796 12775820393 14600937592 25551640786 32806644029 51103281572 65613288058 102206563144 131226576116 229646508203 262453152232 459293016406 918586032812 1837172065624 9218666972149 18437333944298 36874667888596 64530668805043 73749335777192 129061337610086 258122675220172 516245350440344