Search a number
-
+
45959095937 is a prime number
BaseRepresentation
bin101010110011011000…
…000010011010000001
311101121222010222100102
4222303120002122001
51223111012032222
633040250532145
73214623604226
oct526330023201
9141558128312
1045959095937
1118544791017
128aa7737055
134445829131
14231dbad94d
1512dec3ed92
hexab3602681

45959095937 has 2 divisors, whose sum is σ = 45959095938. Its totient is φ = 45959095936.

The previous prime is 45959095913. The next prime is 45959095943. The reversal of 45959095937 is 73959095954.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 45011441281 + 947654656 = 212159^2 + 30784^2 .

It is a cyclic number.

It is not a de Polignac number, because 45959095937 - 28 = 45959095681 is a prime.

It is a super-2 number, since 2×459590959372 (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (45959095957) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 22979547968 + 22979547969.

It is an arithmetic number, because the mean of its divisors is an integer number (22979547969).

Almost surely, 245959095937 is an apocalyptic number.

It is an amenable number.

45959095937 is a deficient number, since it is larger than the sum of its proper divisors (1).

45959095937 is an equidigital number, since it uses as much as digits as its factorization.

45959095937 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 68890500, while the sum is 65.

The spelling of 45959095937 in words is "forty-five billion, nine hundred fifty-nine million, ninety-five thousand, nine hundred thirty-seven".