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84145096296 = 2333735336447
BaseRepresentation
bin100111001011101110…
…0000100011001101000
322001012012211210011000
41032113130010121220
52334312121040141
6102353345235000
76036123342312
oct1162734043150
9261165753130
1084145096296
113275a7932a8
1214384032a60
137c1cb29411
14410349c7b2
1522c73555b6
hex1397704668

84145096296 has 64 divisors (see below), whose sum is σ = 236938291200. Its totient is φ = 27664136064.

The previous prime is 84145096183. The next prime is 84145096319. The reversal of 84145096296 is 69269054148.

84145096296 is a `hidden beast` number, since 8 + 4 + 1 + 4 + 5 + 0 + 9 + 629 + 6 = 666.

It is a super-2 number, since 2×841450962962 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2652456 + ... + 2683991.

It is an arithmetic number, because the mean of its divisors is an integer number (3702160800).

Almost surely, 284145096296 is an apocalyptic number.

It is an amenable number.

84145096296 is an abundant number, since it is smaller than the sum of its proper divisors (152793194904).

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

84145096296 is a wasteful number, since it uses less digits than its factorization.

84145096296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5336535 (or 5336525 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 84145096296 in words is "eighty-four billion, one hundred forty-five million, ninety-six thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 73 108 146 216 219 292 438 584 657 876 1314 1752 1971 2628 3942 5256 7884 15768 5336447 10672894 16009341 21345788 32018682 42691576 48028023 64037364 96056046 128074728 144084069 192112092 288168138 384224184 389560631 576336276 779121262 1152672552 1168681893 1558242524 2337363786 3116485048 3506045679 4674727572 7012091358 9349455144 10518137037 14024182716 21036274074 28048365432 42072548148 84145096296