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83161714688 = 212132196323
BaseRepresentation
bin100110101110011010…
…0110001000000000000
321221122200102211011222
41031130310301000000
52330303344332223
6102112020054212
76002552624453
oct1153464610000
9257580384158
1083161714688
11322a5690128
121414a834368
137ac418a400
14404ca3949a
15226ad580c8
hex135cd31000

83161714688 has 156 divisors (see below), whose sum is σ = 189587575440. Its totient is φ = 36356456448.

The previous prime is 83161714661. The next prime is 83161714693. The reversal of 83161714688 is 88641716138.

It is a super-3 number, since 3×831617146883 (a number of 34 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13149095 + ... + 13155417.

Almost surely, 283161714688 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 83161714688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94793787720).

83161714688 is an abundant number, since it is smaller than the sum of its proper divisors (106425860752).

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

83161714688 is a wasteful number, since it uses less digits than its factorization.

83161714688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6392 (or 6357 counting only the distinct ones).

The product of its digits is 1548288, while the sum is 53.

The spelling of 83161714688 in words is "eighty-three billion, one hundred sixty-one million, seven hundred fourteen thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 13 16 19 26 32 38 52 64 76 104 128 152 169 208 247 256 304 338 416 494 512 608 676 832 988 1024 1216 1352 1664 1976 2048 2432 2704 3211 3328 3952 4096 4864 5408 6323 6422 6656 7904 9728 10816 12646 12844 13312 15808 19456 21632 25292 25688 26624 31616 38912 43264 50584 51376 53248 63232 77824 82199 86528 101168 102752 120137 126464 164398 173056 202336 205504 240274 252928 328796 346112 404672 411008 480548 505856 657592 692224 809344 822016 961096 1011712 1068587 1315184 1561781 1618688 1644032 1922192 2137174 2630368 3123562 3237376 3288064 3844384 4274348 5260736 6247124 6474752 6576128 7688768 8548696 10521472 12494248 12949504 13152256 15377536 17097392 20303153 21042944 24988496 25899008 30755072 34194784 40606306 42085888 49976992 61510144 68389568 81212612 84171776 99953984 123020288 136779136 162425224 168343552 199907968 246040576 273558272 324850448 336687104 399815936 492081152 547116544 649700896 799631872 1094233088 1299401792 1599263744 2188466176 2598803584 3198527488 4376932352 5197607168 6397054976 10395214336 20790428672 41580857344 83161714688