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81986197356 = 2234785742181
BaseRepresentation
bin100110001011011000…
…0100001011101101100
321211121202111100120000
41030112300201131230
52320401431303411
6101355224424300
75631460115310
oct1142660413554
9254552440500
1081986197356
11318520865a8
1213a81018090
13796778881b
143d7a87db40
1521eca56956
hex1316c2176c

81986197356 has 120 divisors (see below), whose sum is σ = 245238049056. Its totient is φ = 23396739840.

The previous prime is 81986197351. The next prime is 81986197367. The reversal of 81986197356 is 65379168918.

81986197356 is a `hidden beast` number, since 8 + 1 + 9 + 8 + 619 + 7 + 3 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 81986197293 and 81986197302.

It is not an unprimeable number, because it can be changed into a prime (81986197351) 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 39 ways as a sum of consecutive naturals, for example, 1922586 + ... + 1964766.

Almost surely, 281986197356 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 81986197356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122619024528).

81986197356 is an abundant number, since it is smaller than the sum of its proper divisors (163251851700).

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

81986197356 is a wasteful number, since it uses less digits than its factorization.

81986197356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43061 (or 43050 counting only the distinct ones).

The product of its digits is 19595520, while the sum is 63.

The spelling of 81986197356 in words is "eighty-one billion, nine hundred eighty-six million, one hundred ninety-seven thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 252 324 378 567 756 857 1134 1714 2268 2571 3428 5142 5999 7713 10284 11998 15426 17997 23139 23996 30852 35994 42181 46278 53991 69417 71988 84362 92556 107982 126543 138834 161973 168724 215964 253086 277668 295267 323946 379629 485919 506172 590534 647892 759258 885801 971838 1138887 1181068 1518516 1771602 1943676 2277774 2657403 3416661 3543204 4555548 5314806 6833322 7972209 10629612 13666644 15944418 23916627 31888836 36149117 47833254 72298234 95666508 108447351 144596468 216894702 253043819 325342053 433789404 506087638 650684106 759131457 976026159 1012175276 1301368212 1518262914 1952052318 2277394371 2928078477 3036525828 3904104636 4554788742 5856156954 6832183113 9109577484 11712313908 13664366226 20496549339 27328732452 40993098678 81986197356