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83060202096 = 243219163186247
BaseRepresentation
bin100110101011011000…
…1100001101001110000
321221101121102110002100
41031112301201221300
52330101402431341
6102053552220400
76000211032414
oct1152661415160
9257347373070
1083060202096
1132253356223
121412083a700
137aa91372a1
14403d372d44
152261ea53b6
hex1356c61a70

83060202096 has 120 divisors (see below), whose sum is σ = 246190056320. Its totient is φ = 26068480128.

The previous prime is 83060202091. The next prime is 83060202109. The reversal of 83060202096 is 69020206038.

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

It is a self number, because there is not a number n which added to its sum of digits gives 83060202096.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83060202091) 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 23 ways as a sum of consecutive naturals, for example, 352845 + ... + 539091.

Almost surely, 283060202096 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 83060202096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123095028160).

83060202096 is an abundant number, since it is smaller than the sum of its proper divisors (163129854224).

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

83060202096 is a wasteful number, since it uses less digits than its factorization.

83060202096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186443 (or 186434 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

It can be divided in two parts, 83060 and 202096, that added together give a square (285156 = 5342).

The spelling of 83060202096 in words is "eighty-three billion, sixty million, two hundred two thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 163 171 228 304 326 342 456 489 652 684 912 978 1304 1368 1467 1956 2608 2736 2934 3097 3912 5868 6194 7824 9291 11736 12388 18582 23472 24776 27873 37164 49552 55746 74328 111492 148656 186247 222984 372494 445968 558741 744988 1117482 1489976 1676223 2234964 2979952 3352446 3538693 4469928 6704892 7077386 8939856 10616079 13409784 14154772 21232158 26819568 28309544 30358261 31848237 42464316 56619088 60716522 63696474 84928632 91074783 121433044 127392948 169857264 182149566 242866088 254785896 273224349 364299132 485732176 509571792 546448698 576806959 728598264 1092897396 1153613918 1457196528 1730420877 2185794792 2307227836 3460841754 4371589584 4614455672 5191262631 6921683508 9228911344 10382525262 13843367016 20765050524 27686734032 41530101048 83060202096