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5464666760 = 2357195319381
BaseRepresentation
bin1010001011011100…
…00011001010001000
3112002211201211112012
411011232003022020
542142423314020
62302130435052
7252263621030
oct50556031210
915084654465
105464666760
112354731023
121086132a88
136911c2337
1439ba9a8c0
1521eb407c5
hex145b83288

5464666760 has 128 divisors (see below), whose sum is σ = 15071443200. Its totient is φ = 1741409280.

The previous prime is 5464666759. The next prime is 5464666793. The reversal of 5464666760 is 676664645.

It is a junction number, because it is equal to n+sod(n) for n = 5464666699 and 5464666708.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 272270 + ... + 291650.

It is an arithmetic number, because the mean of its divisors is an integer number (117745650).

Almost surely, 25464666760 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 5464666760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7535721600).

5464666760 is an abundant number, since it is smaller than the sum of its proper divisors (9606776440).

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

5464666760 is a wasteful number, since it uses less digits than its factorization.

5464666760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19471 (or 19467 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 50.

The square root of 5464666760 is about 73923.3843922206. The cubic root of 5464666760 is about 1761.3860852735.

The spelling of 5464666760 in words is "five billion, four hundred sixty-four million, six hundred sixty-six thousand, seven hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 19 20 28 35 38 40 53 56 70 76 95 106 133 140 152 190 212 265 266 280 371 380 424 530 532 665 742 760 1007 1060 1064 1330 1484 1855 2014 2120 2660 2968 3710 4028 5035 5320 7049 7420 8056 10070 14098 14840 19381 20140 28196 35245 38762 40280 56392 70490 77524 96905 135667 140980 155048 193810 271334 281960 368239 387620 542668 678335 736478 775240 1027193 1085336 1356670 1472956 1841195 2054386 2577673 2713340 2945912 3682390 4108772 5135965 5155346 5426680 7190351 7364780 8217544 10271930 10310692 12888365 14380702 14729560 19516667 20543860 20621384 25776730 28761404 35951755 39033334 41087720 51553460 57522808 71903510 78066668 97583335 103106920 136616669 143807020 156133336 195166670 273233338 287614040 390333340 546466676 683083345 780666680 1092933352 1366166690 2732333380 5464666760