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82450053144 = 23331133377993
BaseRepresentation
bin100110011001001100…
…1111111100000011000
321212211002022200002000
41030302121333200120
52322324203200034
6101513234441000
75646121613454
oct1146231774030
9255732280060
1082450053144
1131a6a9a6298
1213b90433160
137a0c8c70c4
143dc2307664
152228630599
hex133267f818

82450053144 has 64 divisors (see below), whose sum is σ = 231054789600. Its totient is φ = 27240127488.

The previous prime is 82450053143. The next prime is 82450053167. The reversal of 82450053144 is 44135005428.

It is a happy number.

82450053144 is a `hidden beast` number, since 8 + 2 + 4 + 500 + 5 + 3 + 144 = 666.

It is a super-2 number, since 2×824500531442 (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 82450053099 and 82450053108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82450053143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1664589 + ... + 1713404.

Almost surely, 282450053144 is an apocalyptic number.

It is an amenable number.

82450053144 is an abundant number, since it is smaller than the sum of its proper divisors (148604736456).

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

82450053144 is a wasteful number, since it uses less digits than its factorization.

82450053144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3378121 (or 3378111 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 82450053144 in words is "eighty-two billion, four hundred fifty million, fifty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 113 216 226 339 452 678 904 1017 1356 2034 2712 3051 4068 6102 8136 12204 24408 3377993 6755986 10133979 13511972 20267958 27023944 30401937 40535916 60803874 81071832 91205811 121607748 182411622 243215496 364823244 381713209 729646488 763426418 1145139627 1526852836 2290279254 3053705672 3435418881 4580558508 6870837762 9161117016 10306256643 13741675524 20612513286 27483351048 41225026572 82450053144