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72321416425 = 527014126757
BaseRepresentation
bin100001101011010110…
…0010011110011101001
320220200012111121112201
41003112230103303221
52141103240311200
653120214540201
75140122616366
oct1032654236351
9226605447481
1072321416425
1128742610645
1212024367661
136a8737a83b
14370105b46d
151d34312c6a
hex10d6b13ce9

72321416425 has 12 divisors (see below), whose sum is σ = 89806507596. Its totient is φ = 57774584000.

The previous prime is 72321416417. The next prime is 72321416437. The reversal of 72321416425 is 52461412327.

It can be written as a sum of positive squares in 6 ways, for example, as 2098006416 + 70223410009 = 45804^2 + 264997^2 .

It is not a de Polignac number, because 72321416425 - 23 = 72321416417 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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, 2045854 + ... + 2080903.

It is an arithmetic number, because the mean of its divisors is an integer number (7483875633).

Almost surely, 272321416425 is an apocalyptic number.

It is an amenable number.

72321416425 is a deficient number, since it is larger than the sum of its proper divisors (17485091171).

72321416425 is a wasteful number, since it uses less digits than its factorization.

72321416425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4127468 (or 4127463 counting only the distinct ones).

The product of its digits is 80640, while the sum is 37.

The spelling of 72321416425 in words is "seventy-two billion, three hundred twenty-one million, four hundred sixteen thousand, four hundred twenty-five".

Divisors: 1 5 25 701 3505 17525 4126757 20633785 103168925 2892856657 14464283285 72321416425