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73225052672 = 29119592
BaseRepresentation
bin100010000110010001…
…1011010001000000000
321000000011212002102212
41010030203122020000
52144431103141142
653350015001252
75201404451402
oct1041443321000
9230004762385
1073225052672
11290666a6962
1212236b09228
136b9c648345
143789082b72
151d8880bd82
hex110c8da200

73225052672 has 30 divisors (see below), whose sum is σ = 146319322743. Its totient is φ = 36609464832.

The previous prime is 73225052671. The next prime is 73225052683. The reversal of 73225052672 is 27625052237.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 36612526336 + 36612526336 = 191344^2 + 191344^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=191344.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (73225052671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 6117029 + ... + 6128987.

Almost surely, 273225052672 is an apocalyptic number.

It is an amenable number.

73225052672 is a deficient number, since it is larger than the sum of its proper divisors (73094270071).

73225052672 is an frugal number, since it uses more digits than its factorization.

73225052672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23936 (or 11961 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 41.

The spelling of 73225052672 in words is "seventy-three billion, two hundred twenty-five million, fifty-two thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 32 64 128 256 512 11959 23918 47836 95672 191344 382688 765376 1530752 3061504 6123008 143017681 286035362 572070724 1144141448 2288282896 4576565792 9153131584 18306263168 36612526336 73225052672