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72984192304 = 24311131302173
BaseRepresentation
bin100001111111000110…
…0100110010100110000
320222101101122010010111
41003332030212110300
52143432423123204
653310052311104
75162421253522
oct1037614462460
9228341563114
1072984192304
1128a52745a01
121218a312494
136b61785a0a
1437650a5a12
151d725d0d04
hex10fe326530

72984192304 has 40 divisors (see below), whose sum is σ = 147260253312. Its totient is φ = 35002383360.

The previous prime is 72984192293. The next prime is 72984192313. The reversal of 72984192304 is 40329148927.

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 7 ways as a sum of consecutive naturals, for example, 595039 + ... + 707134.

Almost surely, 272984192304 is an apocalyptic number.

It is an amenable number.

72984192304 is an abundant number, since it is smaller than the sum of its proper divisors (74276061008).

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

72984192304 is a wasteful number, since it uses less digits than its factorization.

72984192304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1302325 (or 1302319 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 49.

The spelling of 72984192304 in words is "seventy-two billion, nine hundred eighty-four million, one hundred ninety-two thousand, three hundred four".

Divisors: 1 2 4 8 16 31 62 113 124 226 248 452 496 904 1808 3503 7006 14012 28024 56048 1302173 2604346 5208692 10417384 20834768 40367363 80734726 147145549 161469452 294291098 322938904 588582196 645877808 1177164392 2354328784 4561512019 9123024038 18246048076 36492096152 72984192304