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516140351312 = 241719314374923
BaseRepresentation
bin1111000001011000101…
…11001011111101010000
31211100020201010111211212
413200230113023331100
531424023412220222
61033040034555252
752201303412225
oct7405427137520
91740221114755
10516140351312
11189991855313
1284046438b28
1339897005201
141ada4a8b94c
15d65caee6e2
hex782c5cbf50

516140351312 has 160 divisors (see below), whose sum is σ = 1177301790720. Its totient is φ = 217501562880.

The previous prime is 516140351299. The next prime is 516140351359. The reversal of 516140351312 is 213153041615.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6851483 + ... + 6926405.

It is an arithmetic number, because the mean of its divisors is an integer number (7358136192).

Almost surely, 2516140351312 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 516140351312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588650895360).

516140351312 is an abundant number, since it is smaller than the sum of its proper divisors (661161439408).

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

516140351312 is a wasteful number, since it uses less digits than its factorization.

516140351312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75041 (or 75035 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 32.

Adding to 516140351312 its reverse (213153041615), we get a palindrome (729293392927).

The spelling of 516140351312 in words is "five hundred sixteen billion, one hundred forty million, three hundred fifty-one thousand, three hundred twelve".

Divisors: 1 2 4 8 16 17 19 31 34 38 43 62 68 76 86 124 136 152 172 248 272 304 323 344 496 527 589 646 688 731 817 1054 1178 1292 1333 1462 1634 2108 2356 2584 2666 2924 3268 4216 4712 5168 5332 5848 6536 8432 9424 10013 10664 11696 13072 13889 20026 21328 22661 25327 27778 40052 45322 50654 55556 74923 80104 90644 101308 111112 149846 160208 181288 202616 222224 299692 362576 405232 430559 599384 861118 1198768 1273691 1423537 1722236 2322613 2547382 2847074 3221689 3444472 4645226 5094764 5694148 6443378 6888944 9290452 10189528 11388296 12886756 18580904 20379056 22776592 24200129 25773512 37161808 39484421 44129647 48400258 51547024 54768713 61212091 78968842 88259294 96800516 99872359 109537426 122424182 157937684 176518588 193601032 199744718 219074852 244848364 315875368 353037176 387202064 399489436 438149704 489696728 631750736 706074352 750203999 798978872 876299408 979393456 1040605547 1500407998 1597957744 1697830103 1897574821 2081211094 3000815996 3395660206 3795149642 4162422188 6001631992 6791320412 7590299284 8324844376 12003263984 13582640824 15180598568 16649688752 27165281648 30361197136 32258771957 64517543914 129035087828 258070175656 516140351312