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54341617115764 = 22113171931600357
BaseRepresentation
bin11000101101100011001001…
…10010001110001001110100
321010102000012201201112010001
430112301210302032021310
524110313112440201024
6311324105543441044
714306023634124616
oct1426614462161164
9233360181645101
1054341617115764
11163511721a7000
126117929756184
132442514448ca4
14d5c210d24db6
1564383bc41244
hex316c64c8e274

54341617115764 has 96 divisors (see below), whose sum is σ = 116582568762240. Its totient is φ = 22024184117760.

The previous prime is 54341617115741. The next prime is 54341617115789. The reversal of 54341617115764 is 46751171614345.

It is a super-2 number, since 2×543416171157642 (a number of 28 digits) contains 22 as substring.

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, 14080527 + ... + 17519830.

It is an arithmetic number, because the mean of its divisors is an integer number (1214401757940).

Almost surely, 254341617115764 is an apocalyptic number.

It is an amenable number.

54341617115764 is an abundant number, since it is smaller than the sum of its proper divisors (62240951646476).

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

54341617115764 is a wasteful number, since it uses less digits than its factorization.

54341617115764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31600430 (or 31600406 counting only the distinct ones).

The product of its digits is 8467200, while the sum is 55.

The spelling of 54341617115764 in words is "fifty-four trillion, three hundred forty-one billion, six hundred seventeen million, one hundred fifteen thousand, seven hundred sixty-four".

Divisors: 1 2 4 11 17 19 22 34 38 44 68 76 121 187 209 242 323 374 418 484 646 748 836 1292 1331 2057 2299 2662 3553 4114 4598 5324 7106 8228 9196 14212 22627 25289 39083 45254 50578 78166 90508 101156 156332 429913 859826 1719652 31600357 63200714 126401428 347603927 537206069 600406783 695207854 1074412138 1200813566 1390415708 2148824276 2401627132 3823643197 5909266759 6604474613 7647286394 10206915311 11818533518 13208949226 15294572788 20413830622 23637067036 26417898452 40827661244 42060075167 65001934349 72649220743 84120150334 112276068421 130003868698 145298441486 168240300668 224552136842 260007737396 290596882972 449104273684 715021277839 799141428173 1235036752631 1430042555678 1598282856346 2470073505262 2860085111356 3196565712692 4940147010524 13585404278941 27170808557882 54341617115764