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81071426300 = 22523197359751
BaseRepresentation
bin100101110000000111…
…0111100101011111100
321202021000012011120112
41023200032330223330
52312013241120200
6101124350005152
75600011516304
oct1134016745374
9252230164515
1081071426300
1131422785567
12138667a67b8
1378500bca87
143cd119a604
1521975ad535
hex12e03bcafc

81071426300 has 144 divisors (see below), whose sum is σ = 184228208640. Its totient is φ = 30931200000.

The previous prime is 81071426297. The next prime is 81071426321. The reversal of 81071426300 is 362417018.

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, 107950925 + ... + 107951675.

It is an arithmetic number, because the mean of its divisors is an integer number (1279362560).

Almost surely, 281071426300 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 81071426300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92114104320).

81071426300 is an abundant number, since it is smaller than the sum of its proper divisors (103156782340).

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

81071426300 is a wasteful number, since it uses less digits than its factorization.

81071426300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1252 (or 1245 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The spelling of 81071426300 in words is "eighty-one billion, seventy-one million, four hundred twenty-six thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 31 50 62 97 100 124 155 194 310 359 388 485 620 718 751 775 970 1436 1502 1550 1795 1940 2425 3004 3007 3100 3590 3755 4850 6014 7180 7510 8975 9700 11129 12028 15020 15035 17950 18775 22258 23281 30070 34823 35900 37550 44516 46562 55645 60140 69646 72847 75100 75175 93124 111290 116405 139292 145694 150350 174115 222580 232810 269609 278225 291388 300700 348230 364235 465620 539218 556450 582025 696460 728470 870575 1078436 1079513 1112900 1164050 1348045 1456940 1741150 1821175 2159026 2258257 2328100 2696090 3482300 3642350 4318052 4516514 5392180 5397565 6740225 7284700 8357879 9033028 10795130 11291285 13480450 16715758 21590260 22582570 26152073 26960900 26987825 33431516 41789395 45165140 52304146 53975650 56456425 83578790 104608292 107951300 112912850 130760365 167157580 208946975 225825700 261520730 417893950 523041460 653801825 810714263 835787900 1307603650 1621428526 2615207300 3242857052 4053571315 8107142630 16214285260 20267856575 40535713150 81071426300