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93439384961 = 132552895769
BaseRepresentation
bin101011100000101101…
…0111101110110000001
322221011221200120022112
41113001122331312001
53012330440304321
6110531522145105
76515341444646
oct1270132756601
9287157616275
1093439384961
113669a1079aa
12161387b2195
138a71557a00
1447459dbdcd
15266d2b3a5b
hex15c16bdd81

93439384961 has 6 divisors (see below), whose sum is σ = 101179925910. Its totient is φ = 86251739808.

The previous prime is 93439384943. The next prime is 93439384981. The reversal of 93439384961 is 16948393439.

It can be written as a sum of positive squares in 3 ways, for example, as 487570561 + 92951814400 = 22081^2 + 304880^2 .

It is not a de Polignac number, because 93439384961 - 214 = 93439368577 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 93439384961.

It is not an unprimeable number, because it can be changed into a prime (93439384921) 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 in 5 ways as a sum of consecutive naturals, for example, 276447716 + ... + 276448053.

It is an arithmetic number, because the mean of its divisors is an integer number (16863320985).

Almost surely, 293439384961 is an apocalyptic number.

It is an amenable number.

93439384961 is a deficient number, since it is larger than the sum of its proper divisors (7740540949).

93439384961 is a wasteful number, since it uses less digits than its factorization.

93439384961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552895795 (or 552895782 counting only the distinct ones).

The product of its digits is 15116544, while the sum is 59.

The spelling of 93439384961 in words is "ninety-three billion, four hundred thirty-nine million, three hundred eighty-four thousand, nine hundred sixty-one".

Divisors: 1 13 169 552895769 7187644997 93439384961