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71700237361 = 37272372
BaseRepresentation
bin100001011000110101…
…0101100110000110001
320212001220122110001201
41002301222230300301
52133320230043421
652534424531201
75115540650614
oct1026152546061
9225056573051
1071700237361
1128453a07615
1211a90320b01
1369b8777c6c
14368276017b
151ce9a0eb91
hex10b1aacc31

71700237361 has 9 divisors (see below), whose sum is σ = 73700639649. Its totient is φ = 69752753424.

The previous prime is 71700237313. The next prime is 71700237377. The reversal of 71700237361 is 16373200717.

The square root of 71700237361 is 267769.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 24158795761 + 47541441600 = 155431^2 + 218040^2 .

It is not a de Polignac number, because 71700237361 - 219 = 71699713073 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

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 71700237361.

It is not an unprimeable number, because it can be changed into a prime (71700237461) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 9903835 + ... + 9911071.

It is an arithmetic number, because the mean of its divisors is an integer number (8188959961).

Almost surely, 271700237361 is an apocalyptic number.

71700237361 is the 267769-th square number.

71700237361 is the 133885-th centered octagonal number.

It is an amenable number.

71700237361 is a deficient number, since it is larger than the sum of its proper divisors (2000402288).

71700237361 is an frugal number, since it uses more digits than its factorization.

71700237361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14548 (or 7274 counting only the distinct ones).

The product of its (nonzero) digits is 37044, while the sum is 37.

The spelling of 71700237361 in words is "seventy-one billion, seven hundred million, two hundred thirty-seven thousand, three hundred sixty-one".

Divisors: 1 37 1369 7237 267769 9907453 52374169 1937844253 71700237361