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54805178914704 = 2432432143472
BaseRepresentation
bin11000111011000010100110…
…01110001001011110010000
321012001022202011000211110100
430131201103032021132100
524140412001300232304
6312321052425532400
714354354265322041
oct1435412316113620
9235038664024410
1054805178914704
111650a822802749
12619173b644100
13247714c40a83a
14d76828a248c8
1565091d905439
hex31d853389790

54805178914704 has 135 divisors (see below), whose sum is σ = 157039219649403. Its totient is φ = 17842302910656.

The previous prime is 54805178914669. The next prime is 54805178914819. The reversal of 54805178914704 is 40741987150845.

The square root of 54805178914704 is 7403052.

It is a perfect power (a square), and thus also a powerful number.

54805178914704 is a `hidden beast` number, since 5 + 4 + 8 + 0 + 5 + 1 + 78 + 91 + 470 + 4 = 666.

It is a super-2 number, since 2×548051789147042 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3819967659 + ... + 3819982005.

Almost surely, 254805178914704 is an apocalyptic number.

54805178914704 is the 7403052-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54805178914704

54805178914704 is an abundant number, since it is smaller than the sum of its proper divisors (102234040734699).

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

54805178914704 is an frugal number, since it uses more digits than its factorization.

54805178914704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28794 (or 14395 counting only the distinct ones).

The product of its (nonzero) digits is 45158400, while the sum is 63.

The spelling of 54805178914704 in words is "fifty-four trillion, eight hundred five billion, one hundred seventy-eight million, nine hundred fourteen thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 43 48 72 86 129 144 172 258 344 387 516 688 774 1032 1548 1849 2064 3096 3698 5547 6192 7396 11094 14347 14792 16641 22188 28694 29584 33282 43041 44376 57388 66564 86082 88752 114776 129123 133128 172164 229552 258246 266256 344328 516492 616921 688656 1032984 1233842 1850763 2065968 2467684 3701526 4935368 5552289 7403052 9870736 11104578 14806104 22209156 26527603 29612208 44418312 53055206 79582809 88836624 106110412 159165618 205836409 212220824 238748427 318331236 411672818 424441648 477496854 617509227 636662472 823345636 954993708 1235018454 1273324944 1646691272 1852527681 1909987416 2470036908 3293382544 3705055362 3819974832 4940073816 7410110724 8850965587 9880147632 14820221448 17701931174 26552896761 29640442896 35403862348 53105793522 70807724696 79658690283 106211587044 141615449392 159317380566 212423174088 318634761132 380591520241 424846348176 637269522264 761183040482 1141774560723 1274539044528 1522366080964 2283549121446 3044732161928 3425323682169 4567098242892 6089464323856 6850647364338 9134196485784 13701294728676 18268392971568 27402589457352 54805178914704