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72335000993 is a prime number
BaseRepresentation
bin100001101011110000…
…0001000010110100001
320220201011001210001212
41003113200020112201
52141120230012433
653121422035505
75140346235503
oct1032740102641
9226634053055
1072335000993
112874a249962
1212028a18b95
136a8a125b48
143702b95d73
151d355e7d48
hex10d78085a1

72335000993 has 2 divisors, whose sum is σ = 72335000994. Its totient is φ = 72335000992.

The previous prime is 72335000971. The next prime is 72335001007. The reversal of 72335000993 is 39900053327.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 54180941824 + 18154059169 = 232768^2 + 134737^2 .

It is a cyclic number.

It is not a de Polignac number, because 72335000993 - 28 = 72335000737 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 72335000993.

It is not a weakly prime, because it can be changed into another prime (72335000953) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36167500496 + 36167500497.

It is an arithmetic number, because the mean of its divisors is an integer number (36167500497).

Almost surely, 272335000993 is an apocalyptic number.

It is an amenable number.

72335000993 is a deficient number, since it is larger than the sum of its proper divisors (1).

72335000993 is an equidigital number, since it uses as much as digits as its factorization.

72335000993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 153090, while the sum is 41.

The spelling of 72335000993 in words is "seventy-two billion, three hundred thirty-five million, nine hundred ninety-three", and thus it is an aban number.