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72464036053 is a prime number
BaseRepresentation
bin100001101111100110…
…0010111000011010101
320221001010212102220011
41003133030113003111
52141401243123203
653142311440221
75143504100143
oct1033714270325
9227033772804
1072464036053
1128806071902
1212064086071
136aaaa94356
143715d84593
151d41ad576d
hex10df3170d5

72464036053 has 2 divisors, whose sum is σ = 72464036054. Its totient is φ = 72464036052.

The previous prime is 72464036023. The next prime is 72464036119. The reversal of 72464036053 is 35063046427.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 43707337969 + 28756698084 = 209063^2 + 169578^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-72464036053 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 72464035997 and 72464036015.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72464036023) 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 as a sum of consecutive naturals, namely, 36232018026 + 36232018027.

It is an arithmetic number, because the mean of its divisors is an integer number (36232018027).

Almost surely, 272464036053 is an apocalyptic number.

It is an amenable number.

72464036053 is a deficient number, since it is larger than the sum of its proper divisors (1).

72464036053 is an equidigital number, since it uses as much as digits as its factorization.

72464036053 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 362880, while the sum is 40.

The spelling of 72464036053 in words is "seventy-two billion, four hundred sixty-four million, thirty-six thousand, fifty-three".