Search a number
-
+
68133473880 = 23353729635179
BaseRepresentation
bin111111011101000100…
…100100111001011000
320111212100011002101120
4333131010210321120
52104014132131010
651144452445240
74631260654353
oct773504447130
9214770132346
1068133473880
112699362a3aa
1211255919820
13656a834024
143424b8329a
151b8b815e70
hexfdd124e58

68133473880 has 128 divisors (see below), whose sum is σ = 210036153600. Its totient is φ = 17668495872.

The previous prime is 68133473867. The next prime is 68133473893. The reversal of 68133473880 is 8837433186.

It is an interprime number because it is at equal distance from previous prime (68133473867) and next prime (68133473893).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13153131 + ... + 13158309.

It is an arithmetic number, because the mean of its divisors is an integer number (1640907450).

Almost surely, 268133473880 is an apocalyptic number.

68133473880 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68133473880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105018076800).

68133473880 is an abundant number, since it is smaller than the sum of its proper divisors (141902679720).

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

68133473880 is a wasteful number, since it uses less digits than its factorization.

68133473880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8193 (or 8189 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 51.

The spelling of 68133473880 in words is "sixty-eight billion, one hundred thirty-three million, four hundred seventy-three thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 60 74 111 120 148 185 222 296 370 444 555 740 888 1110 1480 2220 2963 4440 5179 5926 8889 10358 11852 14815 15537 17778 20716 23704 25895 29630 31074 35556 41432 44445 51790 59260 62148 71112 77685 88890 103580 109631 118520 124296 155370 177780 191623 207160 219262 310740 328893 355560 383246 438524 548155 574869 621480 657786 766492 877048 958115 1096310 1149738 1315572 1532984 1644465 1916230 2192620 2299476 2631144 2874345 3288930 3832460 4385240 4598952 5748690 6577860 7664920 11497380 13155720 15345377 22994760 30690754 46036131 61381508 76726885 92072262 122763016 153453770 184144524 230180655 306907540 368289048 460361310 567778949 613815080 920722620 1135557898 1703336847 1841445240 2271115796 2838894745 3406673694 4542231592 5677789490 6813347388 8516684235 11355578980 13626694776 17033368470 22711157960 34066736940 68133473880