Search a number
-
+
46161775301149 is a prime number
BaseRepresentation
bin10100111111011111000000…
…01110000001001000011101
320001110000121111020100120001
422133233200032001020131
522022303303434114044
6242102232105254301
712503035552656214
oct1237574016011035
9201400544210501
1046161775301149
111378810a7a4712
125216565194391
131c9b062917111
14b583558a607b
15550b9141c2d4
hex29fbe038121d

46161775301149 has 2 divisors, whose sum is σ = 46161775301150. Its totient is φ = 46161775301148.

The previous prime is 46161775301113. The next prime is 46161775301167. The reversal of 46161775301149 is 94110357716164.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 28436142828025 + 17725632473124 = 5332555^2 + 4210182^2 .

It is a cyclic number.

It is not a de Polignac number, because 46161775301149 - 27 = 46161775301021 is a prime.

It is a super-3 number, since 3×461617753011493 (a number of 42 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 46161775301149.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (46161775301249) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 23080887650574 + 23080887650575.

It is an arithmetic number, because the mean of its divisors is an integer number (23080887650575).

Almost surely, 246161775301149 is an apocalyptic number.

It is an amenable number.

46161775301149 is a deficient number, since it is larger than the sum of its proper divisors (1).

46161775301149 is an equidigital number, since it uses as much as digits as its factorization.

46161775301149 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3810240, while the sum is 55.

The spelling of 46161775301149 in words is "forty-six trillion, one hundred sixty-one billion, seven hundred seventy-five million, three hundred one thousand, one hundred forty-nine".