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81814859060 = 225112103383857
BaseRepresentation
bin100110000110010001…
…0111010110100110100
321211011211002110121012
41030030202322310310
52320024100442220
6101330224211352
75624306553614
oct1141442726464
9254154073535
1081814859060
113177439a600
1213a33769b58
13793b12830c
143d61bdca44
1521dc9aeac5
hex130c8bad34

81814859060 has 144 divisors (see below), whose sum is σ = 191404781568. Its totient is φ = 29350801920.

The previous prime is 81814859053. The next prime is 81814859069. The reversal of 81814859060 is 6095841818.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81814859069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 95466152 + ... + 95467008.

It is an arithmetic number, because the mean of its divisors is an integer number (1329199872).

Almost surely, 281814859060 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 81814859060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95702390784).

81814859060 is an abundant number, since it is smaller than the sum of its proper divisors (109589922508).

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

81814859060 is a wasteful number, since it uses less digits than its factorization.

81814859060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1374 (or 1361 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 50.

The spelling of 81814859060 in words is "eighty-one billion, eight hundred fourteen million, eight hundred fifty-nine thousand, sixty".

Divisors: 1 2 4 5 10 11 20 22 44 55 103 110 121 206 220 242 383 412 484 515 605 766 857 1030 1133 1210 1532 1714 1915 2060 2266 2420 3428 3830 4213 4285 4532 5665 7660 8426 8570 9427 11330 12463 16852 17140 18854 21065 22660 24926 37708 39449 42130 46343 47135 49852 62315 78898 84260 88271 92686 94270 103697 124630 157796 176542 185372 188540 197245 207394 231715 249260 328231 353084 394490 414788 433939 441355 463430 518485 656462 788980 867878 882710 926860 970981 1036970 1312924 1641155 1735756 1765420 1941962 2073940 2169695 3282310 3610541 3883924 4339390 4773329 4854905 6564620 7221082 8678780 9546658 9709810 10680791 14442164 18052705 19093316 19419620 21361582 23866645 33807793 36105410 39715951 42723164 47733290 53403955 67615586 72210820 79431902 95466580 106807910 135231172 158863804 169038965 198579755 213615820 338077930 371885723 397159510 676155860 743771446 794319020 1487542892 1859428615 3718857230 4090742953 7437714460 8181485906 16362971812 20453714765 40907429530 81814859060