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328131374373 = 32114180840447
BaseRepresentation
bin1001100011001100010…
…01110110110100100101
31011100222001001220122200
410301212021312310211
520334003112434443
6410424054045113
732464254443145
oct4614611666445
91140861056580
10328131374373
11117183674230
1253716649799
1324c3402686a
1411c4b32c925
158807225dd3
hex4c66276d25

328131374373 has 24 divisors (see below), whose sum is σ = 529666615296. Its totient is φ = 194017070400.

The previous prime is 328131374369. The next prime is 328131374407. The reversal of 328131374373 is 373473131823.

328131374373 is a `hidden beast` number, since 3 + 2 + 81 + 3 + 137 + 437 + 3 = 666.

It is not a de Polignac number, because 328131374373 - 22 = 328131374369 is a prime.

It is a super-2 number, since 2×3281313743732 (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (328131374873) 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, 40416165 + ... + 40424282.

It is an arithmetic number, because the mean of its divisors is an integer number (22069442304).

Almost surely, 2328131374373 is an apocalyptic number.

328131374373 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

328131374373 is a deficient number, since it is larger than the sum of its proper divisors (201535240923).

328131374373 is a wasteful number, since it uses less digits than its factorization.

328131374373 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80840505 (or 80840502 counting only the distinct ones).

The product of its digits is 762048, while the sum is 45.

The spelling of 328131374373 in words is "three hundred twenty-eight billion, one hundred thirty-one million, three hundred seventy-four thousand, three hundred seventy-three".

Divisors: 1 3 9 11 33 41 99 123 369 451 1353 4059 80840447 242521341 727564023 889244917 2667734751 3314458327 8003204253 9943374981 29830124943 36459041597 109377124791 328131374373