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5464288080 = 2433522911047
BaseRepresentation
bin1010001011011001…
…00110101101010000
3112002211000121002000
411011230212231100
542142324204310
62302114354000
7252260453016
oct50554465520
915084017060
105464288080
1123544a2569
121085b8b900
136910bbb74
1439b9dc8b6
1521eab84c0
hex145b26b50

5464288080 has 160 divisors (see below), whose sum is σ = 18905337600. Its totient is φ = 1450649088.

The previous prime is 5464288061. The next prime is 5464288111. The reversal of 5464288080 is 808824645.

5464288080 is a `hidden beast` number, since 546 + 4 + 28 + 8 + 0 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 489117 + ... + 500163.

It is an arithmetic number, because the mean of its divisors is an integer number (118158360).

Almost surely, 25464288080 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 5464288080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9452668800).

5464288080 is an abundant number, since it is smaller than the sum of its proper divisors (13441049520).

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

5464288080 is a wasteful number, since it uses less digits than its factorization.

5464288080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11298 (or 11286 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The square root of 5464288080 is about 73920.8230473660. The cubic root of 5464288080 is about 1761.3453986151.

The spelling of 5464288080 in words is "five billion, four hundred sixty-four million, two hundred eighty-eight thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 229 240 270 360 432 458 540 687 720 916 1080 1145 1374 1832 2061 2160 2290 2748 3435 3664 4122 4580 5496 6183 6870 8244 9160 10305 10992 11047 12366 13740 16488 18320 20610 22094 24732 27480 30915 32976 33141 41220 44188 49464 54960 55235 61830 66282 82440 88376 98928 99423 110470 123660 132564 164880 165705 176752 198846 220940 247320 265128 298269 331410 397692 441880 494640 497115 530256 596538 662820 795384 883760 994230 1193076 1325640 1491345 1590768 1988460 2386152 2529763 2651280 2982690 3976920 4772304 5059526 5965380 7589289 7953840 10119052 11930760 12648815 15178578 20238104 22767867 23861520 25297630 30357156 37946445 40476208 45535734 50595260 60714312 68303601 75892890 91071468 101190520 113839335 121428624 136607202 151785780 182142936 202381040 227678670 273214404 303571560 341518005 364285872 455357340 546428808 607143120 683036010 910714680 1092857616 1366072020 1821429360 2732144040 5464288080