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83224668037 = 724214034353
BaseRepresentation
bin100110110000010010…
…0111010011110000101
321221211001220011221111
41031200210322132011
52330421003334122
6102122145245021
76004246002100
oct1154044723605
9257731804844
1083224668037
1132328178995
1214167933771
137b0422c704
144057145737
152271640d77
hex136093a785

83224668037 has 12 divisors (see below), whose sum is σ = 97042351116. Its totient is φ = 71165969280.

The previous prime is 83224668029. The next prime is 83224668077. The reversal of 83224668037 is 73086642238.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 4420388196 + 78804279841 = 66486^2 + 280721^2 .

It is not a de Polignac number, because 83224668037 - 23 = 83224668029 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83224668077) by changing a digit.

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, 1996548 + ... + 2037805.

It is an arithmetic number, because the mean of its divisors is an integer number (8086862593).

Almost surely, 283224668037 is an apocalyptic number.

It is an amenable number.

83224668037 is a deficient number, since it is larger than the sum of its proper divisors (13817683079).

83224668037 is a wasteful number, since it uses less digits than its factorization.

83224668037 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4034788 (or 4034781 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 49.

The spelling of 83224668037 in words is "eighty-three billion, two hundred twenty-four million, six hundred sixty-eight thousand, thirty-seven".

Divisors: 1 7 49 421 2947 20629 4034353 28240471 197683297 1698462613 11889238291 83224668037