Search a number
-
+
90017075000053 is a prime number
BaseRepresentation
bin10100011101111010111011…
…110001110111001011110101
3102210201112210201201011002201
4110131322323301313023311
543244314432200000203
6515241135014104501
724650343014546125
oct2435727361671365
9383645721634081
1090017075000053
1126756033108453
12a119ab434b131
133b2c75c6b0466
141832bc7726c85
15a6183d91ae1d
hex51debbc772f5

90017075000053 has 2 divisors, whose sum is σ = 90017075000054. Its totient is φ = 90017075000052.

The previous prime is 90017074999981. The next prime is 90017075000057. The reversal of 90017075000053 is 35000057071009.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 85238557695729 + 4778517304324 = 9232473^2 + 2185982^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-90017075000053 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 90017074999976 and 90017075000021.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (90017075000057) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 45008537500026 + 45008537500027.

It is an arithmetic number, because the mean of its divisors is an integer number (45008537500027).

Almost surely, 290017075000053 is an apocalyptic number.

It is an amenable number.

90017075000053 is a deficient number, since it is larger than the sum of its proper divisors (1).

90017075000053 is an equidigital number, since it uses as much as digits as its factorization.

90017075000053 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 33075, while the sum is 37.

The spelling of 90017075000053 in words is "ninety trillion, seventeen billion, seventy-five million, fifty-three", and thus it is an aban number and an uban number.