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5268916249744 = 247273211232
BaseRepresentation
bin100110010101100001111…
…1000011010010010010000
3200122200222211111000220211
41030223003320122102100
51142311220024442434
615112301241013504
71052444441112100
oct114530370322220
920580884430824
105268916249744
111751597954164
12711199484294
132c2b1a149534
14143034571200
15920cb080464
hex4cac3e1a490

5268916249744 has 135 divisors (see below), whose sum is σ = 12050856878553. Its totient is φ = 2225190756096.

The previous prime is 5268916249717. The next prime is 5268916249789. The reversal of 5268916249744 is 4479426198625.

The square root of 5268916249744 is 2295412.

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

It can be written as a sum of positive squares in only one way, i.e., 2990893536400 + 2278022713344 = 1729420^2 + 1509312^2 .

It is a super-2 number, since 2×52689162497442 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 5268916249744.

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, 4691821567 + ... + 4691822689.

Almost surely, 25268916249744 is an apocalyptic number.

5268916249744 is the 2295412-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5268916249744

5268916249744 is an abundant number, since it is smaller than the sum of its proper divisors (6781940628809).

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

5268916249744 is an frugal number, since it uses more digits than its factorization.

5268916249744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2414 (or 1205 counting only the distinct ones).

The product of its digits is 209018880, while the sum is 67.

The spelling of 5268916249744 in words is "five trillion, two hundred sixty-eight billion, nine hundred sixteen million, two hundred forty-nine thousand, seven hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 73 98 112 146 196 292 392 511 584 784 1022 1123 1168 2044 2246 3577 4088 4492 5329 7154 7861 8176 8984 10658 14308 15722 17968 21316 28616 31444 37303 42632 55027 57232 62888 74606 81979 85264 110054 125776 149212 163958 220108 261121 298424 327916 440216 522242 573853 596848 655832 880432 1044484 1147706 1261129 1311664 2088968 2295412 2522258 4016971 4177936 4590824 5044516 5984467 8033942 8827903 9181648 10089032 11968934 16067884 17655806 20178064 23937868 32135768 35311612 41891269 47875736 61795321 64271536 70623224 83782538 92062417 95751472 123590642 141246448 167565076 184124834 247181284 293238883 335130152 368249668 494362568 586477766 644436919 670260304 736499336 988725136 1172955532 1288873838 1472998672 2345911064 2577747676 4511058433 4691822128 5155495352 6720556441 9022116866 10310990704 13441112882 18044233732 26882225764 36088467464 47043895087 53764451528 72176934928 94087790174 107528903056 188175580348 329307265609 376351160696 658614531218 752702321392 1317229062436 2634458124872 5268916249744