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949975579949 = 111031558153813
BaseRepresentation
bin11011101001011101111…
…01001111110100101101
310100211001102122120211212
431310232331033310231
5111031022222024244
62004225053324205
7125430165124544
oct15645675176455
93324042576755
10949975579949
113369784a3790
12134140a96665
136b7754588a6
1433d9c79b15b
1519a9eb9ad9e
hexdd2ef4fd2d

949975579949 has 16 divisors (see below), whose sum is σ = 1046485125504. Its totient is φ = 855158779200.

The previous prime is 949975579919. The next prime is 949975579961.

949975579949 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2k-949975579949 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (949975579919) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17626367 + ... + 17680179.

It is an arithmetic number, because the mean of its divisors is an integer number (65405320344).

Almost surely, 2949975579949 is an apocalyptic number.

It is an amenable number.

949975579949 is a deficient number, since it is larger than the sum of its proper divisors (96509545555).

949975579949 is a wasteful number, since it uses less digits than its factorization.

949975579949 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69508.

The product of its digits is 10416243600, while the sum is 86.

The spelling of 949975579949 in words is "nine hundred forty-nine billion, nine hundred seventy-five million, five hundred seventy-nine thousand, nine hundred forty-nine".

Divisors: 1 11 103 1133 15581 53813 171391 591943 1604843 5542739 17653273 60970129 838460353 9223063883 86361416359 949975579949