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83115820116 = 2235712799551
BaseRepresentation
bin100110101101000010…
…1101100010001010100
321221112111002010200000
41031122011230101110
52330210122220431
6102103300251300
76001454546160
oct1153205542124
9257474063600
1083115820116
113228179392a
12141373a0b30
137ab780b864
1440468cdca0
152266cde9e6
hex135a16c454

83115820116 has 144 divisors (see below), whose sum is σ = 249226199040. Its totient is φ = 23726325600.

The previous prime is 83115820037. The next prime is 83115820237. The reversal of 83115820116 is 61102851138.

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 47 ways as a sum of consecutive naturals, for example, 8697541 + ... + 8707091.

Almost surely, 283115820116 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 83115820116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124613099520).

83115820116 is an abundant number, since it is smaller than the sum of its proper divisors (166110378924).

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

83115820116 is a wasteful number, since it uses less digits than its factorization.

83115820116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10856 (or 10842 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The spelling of 83115820116 in words is "eighty-three billion, one hundred fifteen million, eight hundred twenty thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 243 252 324 378 486 567 756 972 1134 1279 1701 2268 2558 3402 3837 5116 6804 7674 8953 9551 11511 15348 17906 19102 23022 26859 28653 34533 35812 38204 46044 53718 57306 66857 69066 80577 85959 103599 107436 114612 133714 138132 161154 171918 200571 207198 241731 257877 267428 310797 322308 343836 401142 414396 483462 515754 601713 621594 725193 773631 802284 966924 1031508 1203426 1243188 1450386 1547262 1805139 2175579 2320893 2406852 2900772 3094524 3610278 4351158 4641786 5415417 7220556 8702316 9283572 10830834 12215729 16246251 21661668 24431458 32492502 36647187 48862916 64985004 73294374 85510103 109941561 146588748 171020206 219883122 256530309 329824683 342040412 439766244 513060618 659649366 769590927 989474049 1026121236 1319298732 1539181854 1978948098 2308772781 2968422147 3078363708 3957896196 4617545562 5936844294 6926318343 9235091124 11873688588 13852636686 20778955029 27705273372 41557910058 83115820116