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14983358148 = 22321137836763
BaseRepresentation
bin11011111010001001…
…11110011011000100
31102200012211110100200
431331010332123010
5221141214430043
610514441210500
71040205304623
oct157504763304
942605743320
1014983358148
116399795820
122aa1a90a30
13154a2702c5
14a21d316ba
155ca6287d3
hex37d13e6c4

14983358148 has 36 divisors (see below), whose sum is σ = 41317746288. Its totient is φ = 4540411440.

The previous prime is 14983358129. The next prime is 14983358149. The reversal of 14983358148 is 84185338941.

14983358148 is a `hidden beast` number, since 1 + 498 + 3 + 3 + 5 + 8 + 148 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 14983358094 and 14983358103.

It is not an unprimeable number, because it can be changed into a prime (14983358149) 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 11 ways as a sum of consecutive naturals, for example, 18917986 + ... + 18918777.

Almost surely, 214983358148 is an apocalyptic number.

14983358148 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

14983358148 is an abundant number, since it is smaller than the sum of its proper divisors (26334388140).

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

14983358148 is a wasteful number, since it uses less digits than its factorization.

14983358148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37836784 (or 37836779 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 54.

The spelling of 14983358148 in words is "fourteen billion, nine hundred eighty-three million, three hundred fifty-eight thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 37836763 75673526 113510289 151347052 227020578 340530867 416204393 454041156 681061734 832408786 1248613179 1362123468 1664817572 2497226358 3745839537 4994452716 7491679074 14983358148