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5293367735824 = 247212726472
BaseRepresentation
bin100110100000111010101…
…0011011011011000010000
3200202001002220021020002101
41031001311103123120100
51143211304120021244
615131423425130144
71054301405241400
oct115016523333020
920661086236071
105293367735824
1117609a50a85a3
12715a82189954
132c5215b42aac
141442b3b34800
1592a5ca050d4
hex4d0754db610

5293367735824 has 135 divisors (see below), whose sum is σ = 12043626473583. Its totient is φ = 2247244582464.

The previous prime is 5293367735813. The next prime is 5293367735837. The reversal of 5293367735824 is 4285377633925.

The square root of 5293367735824 is 2300732.

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

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 8181402669 + ... + 8181403315.

Almost surely, 25293367735824 is an apocalyptic number.

5293367735824 is the 2300732-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5293367735824

5293367735824 is an abundant number, since it is smaller than the sum of its proper divisors (6750258737759).

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

5293367735824 is an frugal number, since it uses more digits than its factorization.

5293367735824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1570 (or 783 counting only the distinct ones).

The product of its digits is 228614400, while the sum is 64.

Multiplying 5293367735824 by its sum of digits (64), we get a square (338775535092736 = 184058562).

The spelling of 5293367735824 in words is "five trillion, two hundred ninety-three billion, three hundred sixty-seven million, seven hundred thirty-five thousand, eight hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 127 196 254 392 508 647 784 889 1016 1294 1778 2032 2588 3556 4529 5176 6223 7112 9058 10352 12446 14224 16129 18116 24892 31703 32258 36232 49784 63406 64516 72464 82169 99568 112903 126812 129032 164338 225806 253624 258064 328676 418609 451612 507248 575183 657352 790321 837218 903224 1150366 1314704 1580642 1674436 1806448 2300732 2930263 3161284 3348872 4026281 4601464 5860526 6322568 6697744 8052562 9202928 10435463 11721052 12645136 16105124 20511841 20870926 23442104 32210248 41023682 41741852 46884208 53163343 64420496 73048241 82047364 83483704 106326686 146096482 164094728 166967408 212653372 292192964 328189456 372143401 425306744 511337687 584385928 744286802 850613488 1022675374 1168771856 1488573604 2045350748 2605003807 2977147208 4090701496 5210007614 5954294416 6751744561 8181402992 10420015228 13503489122 20840030456 27006978244 41680060912 47262211927 54013956488 94524423854 108027912976 189048847708 330835483489 378097695416 661670966978 756195390832 1323341933956 2646683867912 5293367735824