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516927098368 = 297997359367
BaseRepresentation
bin1111000010110110100…
…00011000111000000000
31211102021112112101220201
413201123100120320000
531432131314121433
61033250101414544
752226635560352
oct7413320307000
91742245471821
10516927098368
1118a255963a9a
1284225a0a454
1339990cc7a05
141b03b3670d2
15d6a6c09a7d
hex785b418e00

516927098368 has 160 divisors (see below), whose sum is σ = 1062531993600. Its totient is φ = 251171241984.

The previous prime is 516927098329. The next prime is 516927098393. The reversal of 516927098368 is 863890729615.

It is a Harshad number since it is a multiple of its sum of digits (64).

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, 1408520521 + ... + 1408520887.

It is an arithmetic number, because the mean of its divisors is an integer number (6640824960).

Almost surely, 2516927098368 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 516927098368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531265996800).

516927098368 is an abundant number, since it is smaller than the sum of its proper divisors (545604895232).

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

516927098368 is an equidigital number, since it uses as much as digits as its factorization.

516927098368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 920 (or 904 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 64.

The spelling of 516927098368 in words is "five hundred sixteen billion, nine hundred twenty-seven million, ninety-eight thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 16 32 64 79 97 128 158 194 256 316 359 367 388 512 632 718 734 776 1264 1436 1468 1552 2528 2872 2936 3104 5056 5744 5872 6208 7663 10112 11488 11744 12416 15326 20224 22976 23488 24832 28361 28993 30652 34823 35599 40448 45952 46976 49664 56722 57986 61304 69646 71198 91904 93952 113444 115972 122608 131753 139292 142396 183808 187904 226888 231944 245216 263506 278584 284792 453776 463888 490432 527012 557168 569584 907552 927776 980864 1054024 1114336 1139168 1815104 1855552 1961728 2108048 2228672 2278336 2751017 2812321 3630208 3711104 3923456 4216096 4457344 4556672 5502034 5624642 7260416 7422208 8432192 8914688 9113344 10408487 11004068 11249284 12780041 14520832 14844416 16864384 17829376 18226688 20816974 22008136 22498568 25560082 33728768 41633948 44016272 44997136 51120164 67457536 83267896 88032544 89994272 102240328 166535792 176065088 179988544 204480656 333071584 352130176 359977088 408961312 666143168 704260352 719954176 817922624 1009623239 1332286336 1408520704 1439908352 1635845248 2019246478 2664572672 3271690496 4038492956 5329145344 6543380992 8076985912 16153971824 32307943648 64615887296 129231774592 258463549184 516927098368