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114582380670 = 23254572785859
BaseRepresentation
bin110101010110110100…
…1000110000001111110
3101221202102222000220200
41222231221012001332
53334131042140140
6124345522024330
711164313110602
oct1525551060176
9357672860820
10114582380670
114465984857a
121a2594a80a6
13aa60988564
14578da15502
152ea955a030
hex1aada4607e

114582380670 has 48 divisors (see below), whose sum is σ = 298566187920. Its totient is φ = 30488429952.

The previous prime is 114582380659. The next prime is 114582380677. The reversal of 114582380670 is 76083285411.

114582380670 is a `hidden beast` number, since 1 + 1 + 4 + 582 + 3 + 8 + 0 + 67 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114582380677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1351800 + ... + 1434059.

It is an arithmetic number, because the mean of its divisors is an integer number (6220128915).

Almost surely, 2114582380670 is an apocalyptic number.

114582380670 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

114582380670 is an abundant number, since it is smaller than the sum of its proper divisors (183983807250).

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

114582380670 is a wasteful number, since it uses less digits than its factorization.

114582380670 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2786329 (or 2786326 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 114582380670 in words is "one hundred fourteen billion, five hundred eighty-two million, three hundred eighty thousand, six hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 457 914 1371 2285 2742 4113 4570 6855 8226 13710 20565 41130 2785859 5571718 8357577 13929295 16715154 25072731 27858590 41787885 50145462 83575770 125363655 250727310 1273137563 2546275126 3819412689 6365687815 7638825378 11458238067 12731375630 19097063445 22916476134 38194126890 57291190335 114582380670