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81105133716 = 22323161219531
BaseRepresentation
bin100101110001000111…
…1100010000010010100
321202100100121200110100
41023202033202002110
52312100403234331
6101131552254100
75600601155535
oct1134217420224
9252310550410
1081105133716
113143a808432
1213875b41330
1378570923a9
143cd585268c
15219a51aae6
hex12e23e2094

81105133716 has 108 divisors (see below), whose sum is σ = 215166387072. Its totient is φ = 25732728000.

The previous prime is 81105133699. The next prime is 81105133727. The reversal of 81105133716 is 61733150118.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4142871 + ... + 4162401.

Almost surely, 281105133716 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 81105133716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107583193536).

81105133716 is an abundant number, since it is smaller than the sum of its proper divisors (134061253356).

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

81105133716 is a wasteful number, since it uses less digits than its factorization.

81105133716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19694 (or 19628 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The spelling of 81105133716 in words is "eighty-one billion, one hundred five million, one hundred thirty-three thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 31 36 61 62 93 122 124 183 186 244 279 366 372 549 558 732 1098 1116 1891 2196 3721 3782 5673 7442 7564 11163 11346 14884 17019 19531 22326 22692 33489 34038 39062 44652 58593 66978 68076 78124 115351 117186 133956 175779 230702 234372 346053 351558 461404 605461 692106 703116 1038159 1191391 1210922 1384212 1816383 2076318 2382782 2421844 3574173 3632766 4152636 4765564 5449149 7148346 7265532 10722519 10898298 14296692 21445038 21796596 36933121 42890076 72674851 73866242 110799363 145349702 147732484 218024553 221598726 290699404 332398089 436049106 443197452 654073659 664796178 872098212 1308147318 1329592356 2252920381 2616294636 4505840762 6758761143 9011681524 13517522286 20276283429 27035044572 40552566858 81105133716