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514360075845 = 357211241126387
BaseRepresentation
bin1110111110000100011…
…11111110011001000101
31211011122122020011000110
413133002033332121011
531411402134411340
61032143241303233
752106215335600
oct7370217763105
91734578204013
10514360075845
11189158942a80
128382a194b19
1339672230085
141ac7646b337
15d5a6690680
hex77c23fe645

514360075845 has 96 divisors (see below), whose sum is σ = 1044843204096. Its totient is φ = 213663273600.

The previous prime is 514360075813. The next prime is 514360075861. The reversal of 514360075845 is 548570063415.

It is not a de Polignac number, because 514360075845 - 25 = 514360075813 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 514360075794 and 514360075803.

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 95 ways as a sum of consecutive naturals, for example, 19479742 + ... + 19506128.

It is an arithmetic number, because the mean of its divisors is an integer number (10883783376).

Almost surely, 2514360075845 is an apocalyptic number.

514360075845 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

514360075845 is an abundant number, since it is smaller than the sum of its proper divisors (530483128251).

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

514360075845 is a wasteful number, since it uses less digits than its factorization.

514360075845 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28831 (or 28824 counting only the distinct ones).

The product of its (nonzero) digits is 2016000, while the sum is 48.

The spelling of 514360075845 in words is "five hundred fourteen billion, three hundred sixty million, seventy-five thousand, eight hundred forty-five".

Divisors: 1 3 5 7 11 15 21 33 35 49 55 77 105 147 165 231 245 385 539 735 1155 1617 2411 2695 7233 8085 12055 16877 26387 26521 36165 50631 79161 79563 84385 118139 131935 132605 184709 185647 253155 290257 354417 395805 397815 554127 556941 590695 870771 923545 928235 1292963 1299529 1451285 1772085 2031799 2770635 2784705 3878889 3898587 4353855 6095397 6464815 6497645 10158995 14222593 19394445 19492935 30476985 42667779 63619057 71112965 190857171 213338895 318095285 445333399 699809627 954285855 1336000197 2099428881 2226666995 3117333793 3499048135 4898667389 6680000985 9352001379 10497144405 14696002167 15586668965 24493336945 34290671723 46760006895 73480010835 102872015169 171453358615 514360075845