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949264462949 = 1143101111717789
BaseRepresentation
bin11011101000001001001…
…00100011010001100101
310100202012212120002201012
431310010210203101211
5111023043200303244
62004030331512005
7125403441542255
oct15640444432145
93322185502635
10949264462949
11336643050a90
12133b828b8605
136b6910263ba
1433d3216b965
1519a5c52e89e
hexdd04923465

949264462949 has 32 divisors (see below), whose sum is σ = 1071153832320. Its totient is φ = 833759136000.

The previous prime is 949264462931. The next prime is 949264462957.

949264462949 is nontrivially palindromic in base 10.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-949264462949 is a prime.

It is a super-2 number, since 2×9492644629492 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (949264468949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53353547 + ... + 53371335.

It is an arithmetic number, because the mean of its divisors is an integer number (33473557260).

Almost surely, 2949264462949 is an apocalyptic number.

It is an amenable number.

949264462949 is a deficient number, since it is larger than the sum of its proper divisors (121889369371).

949264462949 is a wasteful number, since it uses less digits than its factorization.

949264462949 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19061.

The product of its digits is 241864704, while the sum is 68.

The spelling of 949264462949 in words is "nine hundred forty-nine billion, two hundred sixty-four million, four hundred sixty-two thousand, nine hundred forty-nine".

Divisors: 1 11 43 101 473 1111 1117 4343 12287 17789 47773 48031 112817 195679 528341 764927 1240987 1796689 4851131 8414197 19763579 19870313 53362441 77257627 218573443 849833897 854423459 2006901613 9398658049 22075917743 86296769359 949264462949