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84175000920 = 23325233819447
BaseRepresentation
bin100111001100100111…
…0001001010101011000
322001021022010002120200
41032121032021111120
52334342300012140
6102400334222200
76036635462643
oct1163116112530
9261238102520
1084175000920
113277565906a
1214392054960
137c26099b6a
144107444a5a
1522c9cb1030
hex1399389558

84175000920 has 48 divisors (see below), whose sum is σ = 273568754160. Its totient is φ = 22446666816.

The previous prime is 84175000919. The next prime is 84175000981. The reversal of 84175000920 is 2900057148.

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

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 116909364 + ... + 116910083.

It is an arithmetic number, because the mean of its divisors is an integer number (5699349045).

Almost surely, 284175000920 is an apocalyptic number.

It is an amenable number.

84175000920 is an abundant number, since it is smaller than the sum of its proper divisors (189393753240).

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

84175000920 is a wasteful number, since it uses less digits than its factorization.

84175000920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233819464 (or 233819457 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 84175000920 in words is "eighty-four billion, one hundred seventy-five million, nine hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 233819447 467638894 701458341 935277788 1169097235 1402916682 1870555576 2104375023 2338194470 2805833364 3507291705 4208750046 4676388940 5611666728 7014583410 8417500092 9352777880 10521875115 14029166820 16835000184 21043750230 28058333640 42087500460 84175000920