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5667132840 = 23352317911471
BaseRepresentation
bin1010100011100100…
…11001010110101000
3112121221201011202220
411101302121112220
543101241222330
62334202154040
7260302556115
oct52162312650
915557634686
105667132840
112448a48866
121121ab2920
136c4130c55
143ba92190c
152327d5710
hex151c995a8

5667132840 has 128 divisors (see below), whose sum is σ = 17841254400. Its totient is φ = 1437328640.

The previous prime is 5667132839. The next prime is 5667132853. The reversal of 5667132840 is 482317665.

It is a junction number, because it is equal to n+sod(n) for n = 5667132792 and 5667132801.

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, 488305 + ... + 499775.

It is an arithmetic number, because the mean of its divisors is an integer number (139384800).

Almost surely, 25667132840 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 5667132840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8920627200).

5667132840 is an abundant number, since it is smaller than the sum of its proper divisors (12174121560).

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

5667132840 is a wasteful number, since it uses less digits than its factorization.

5667132840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11687 (or 11683 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The square root of 5667132840 is about 75280.3615825535. The cubic root of 5667132840 is about 1782.8759676868.

The spelling of 5667132840 in words is "five billion, six hundred sixty-seven million, one hundred thirty-two thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 179 184 230 276 345 358 460 537 552 690 716 895 920 1074 1380 1432 1790 2148 2685 2760 3580 4117 4296 5370 7160 8234 10740 11471 12351 16468 20585 21480 22942 24702 32936 34413 41170 45884 49404 57355 61755 68826 82340 91768 98808 114710 123510 137652 164680 172065 229420 247020 263833 275304 344130 458840 494040 527666 688260 791499 1055332 1319165 1376520 1582998 2053309 2110664 2638330 3165996 3957495 4106618 5276660 6159927 6331992 7914990 8213236 10266545 10553320 12319854 15829980 16426472 20533090 24639708 30799635 31659960 41066180 47226107 49279416 61599270 82132360 94452214 123198540 141678321 188904428 236130535 246397080 283356642 377808856 472261070 566713284 708391605 944522140 1133426568 1416783210 1889044280 2833566420 5667132840