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948943349849 = 11131636553793
BaseRepresentation
bin11011100111100010110…
…11100110100001011001
310100201101111022212100102
431303301123212201121
5111021413444143344
62003534421145145
7125362462246415
oct15636133464131
93321344285312
10948943349849
11336498866a60
12133ab325b1b5
136b63c645651
1433d0165dd45
1519a3e24ee4e
hexdcf16e6859

948943349849 has 8 divisors (see below), whose sum is σ = 1035289730592. Its totient is φ = 862610103040.

The previous prime is 948943349807. The next prime is 948943349881.

948943349849 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-948943349849 is a prime.

It is a super-3 number, since 3×9489433498493 (a number of 37 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (948943369849) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3132104 + ... + 3421689.

It is an arithmetic number, because the mean of its divisors is an integer number (129411216324).

Almost surely, 2948943349849 is an apocalyptic number.

It is an amenable number.

948943349849 is a deficient number, since it is larger than the sum of its proper divisors (86346380743).

948943349849 is a wasteful number, since it uses less digits than its factorization.

948943349849 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6566967.

The product of its digits is 967458816, while the sum is 74.

The spelling of 948943349849 in words is "nine hundred forty-eight billion, nine hundred forty-three million, three hundred forty-nine thousand, eight hundred forty-nine".

Divisors: 1 11 13163 144793 6553793 72091723 86267577259 948943349849