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2759247406141 is a prime number
BaseRepresentation
bin101000001001101111111…
…101100010010000111101
3100202210002200210022202121
4220021233331202100331
5330201414313444031
65511325235522541
7403230502655062
oct50115775422075
910683080708677
102759247406141
11974210255646
12386916459451
13170271566185
14977966dcc69
154bb936c7011
hex2826ff6243d

2759247406141 has 2 divisors, whose sum is σ = 2759247406142. Its totient is φ = 2759247406140.

The previous prime is 2759247406049. The next prime is 2759247406163. The reversal of 2759247406141 is 1416047429572.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2331591572025 + 427655834116 = 1526955^2 + 653954^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2759247406141 is a prime.

It is a super-2 number, since 2×27592474061412 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2759247406171) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1379623703070 + 1379623703071.

It is an arithmetic number, because the mean of its divisors is an integer number (1379623703071).

Almost surely, 22759247406141 is an apocalyptic number.

It is an amenable number.

2759247406141 is a deficient number, since it is larger than the sum of its proper divisors (1).

2759247406141 is an equidigital number, since it uses as much as digits as its factorization.

2759247406141 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3386880, while the sum is 52.

The spelling of 2759247406141 in words is "two trillion, seven hundred fifty-nine billion, two hundred forty-seven million, four hundred six thousand, one hundred forty-one".