Search a number
-
+
81800714100 = 22352753734957
BaseRepresentation
bin100110000101110110…
…0111101011101110100
321211010211110211100210
41030023230331131310
52320011440322400
6101325001105420
75624045411640
oct1141354753564
9254124424323
1081800714100
1131767409256
1213a2aa88270
137938214c11
143d5dd99c20
1521db618950
hex130bb3d774

81800714100 has 144 divisors (see below), whose sum is σ = 275591611008. Its totient is φ = 18344501760.

The previous prime is 81800714029. The next prime is 81800714113. The reversal of 81800714100 is 141700818.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 256179 + ... + 478778.

It is an arithmetic number, because the mean of its divisors is an integer number (1913830632).

Almost surely, 281800714100 is an apocalyptic number.

It is an amenable number.

81800714100 is an abundant number, since it is smaller than the sum of its proper divisors (193790896908).

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

81800714100 is a wasteful number, since it uses less digits than its factorization.

81800714100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 735034 (or 735027 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 30.

The spelling of 81800714100 in words is "eighty-one billion, eight hundred million, seven hundred fourteen thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 53 60 70 75 84 100 105 106 140 150 159 175 210 212 265 300 318 350 371 420 525 530 636 700 742 795 1050 1060 1113 1325 1484 1590 1855 2100 2226 2650 3180 3710 3975 4452 5300 5565 7420 7950 9275 11130 15900 18550 22260 27825 37100 55650 111300 734957 1469914 2204871 2939828 3674785 4409742 5144699 7349570 8819484 10289398 11024355 14699140 15434097 18373925 20578796 22048710 25723495 30868194 36747850 38952721 44097420 51446990 55121775 61736388 73495700 77170485 77905442 102893980 110243550 116858163 128617475 154340970 155810884 194763605 220487100 233716326 257234950 272669047 308681940 385852425 389527210 467432652 514469900 545338094 584290815 771704850 779054420 818007141 973818025 1090676188 1168581630 1363345235 1543409700 1636014282 1947636050 2337163260 2726690470 2921454075 3272028564 3895272100 4090035705 5453380940 5842908150 6816726175 8180071410 11685816300 13633452350 16360142820 20450178525 27266904700 40900357050 81800714100