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5738549607728 = 2473713912318093
BaseRepresentation
bin101001110000001110000…
…1101011111110100110000
3202022121012101111111111022
41103200130031133310300
51223010022144421403
620112130413435012
71131411415563440
oct123403415376460
922277171444438
105738549607728
111912783716aa3
1278820479ba68
133281b1c70182
1415ba6678a120
159e415cb4d38
hex5381c35fd30

5738549607728 has 160 divisors (see below), whose sum is σ = 13156404602880. Its totient is φ = 2373470346240.

The previous prime is 5738549607709. The next prime is 5738549607733. The reversal of 5738549607728 is 8277069458375.

It is a Cunningham number, because it is equal to 23955272-1.

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, 709071650 + ... + 709079742.

It is an arithmetic number, because the mean of its divisors is an integer number (82227528768).

Almost surely, 25738549607728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5738549607728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6578202301440).

5738549607728 is an abundant number, since it is smaller than the sum of its proper divisors (7417854995152).

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

5738549607728 is a wasteful number, since it uses less digits than its factorization.

5738549607728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9515 (or 9509 counting only the distinct ones).

The product of its (nonzero) digits is 711244800, while the sum is 71.

The spelling of 5738549607728 in words is "five trillion, seven hundred thirty-eight billion, five hundred forty-nine million, six hundred seven thousand, seven hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 37 56 74 112 139 148 259 278 296 518 556 592 973 1036 1112 1231 1946 2072 2224 2462 3892 4144 4924 5143 7784 8093 8617 9848 10286 15568 16186 17234 19696 20572 32372 34468 36001 41144 45547 56651 64744 68936 72002 82288 91094 113302 129488 137872 144004 171109 182188 226604 288008 299441 318829 342218 364376 453208 576016 598882 637658 684436 728752 906416 1124927 1197763 1197764 1275316 1368872 2096087 2249854 2395526 2395528 2550632 2737744 4192174 4499708 4791052 4791056 5101264 6331033 7874489 8384348 8999416 9582104 9962483 12662066 15748978 16768696 17998832 19164208 19924966 25324132 31497956 33537392 39849932 41622299 44317231 50648264 62995912 69737381 79699864 83244598 88634462 101296528 125991824 139474762 159399728 166489196 177268924 278949524 291356093 332978392 354537848 368611871 557899048 582712186 665956784 709075696 737223742 1115798096 1165424372 1384785137 1474447484 2330848744 2580283097 2769570274 2948894968 4661697488 5160566194 5539140548 5897789936 9693495959 10321132388 11078281096 19386991918 20642264776 22156562192 38773983836 41284529552 51237050069 77547967672 102474100138 155095935344 204948200276 358659350483 409896400552 717318700966 819792801104 1434637401932 2869274803864 5738549607728