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2961253116 = 2232372223163
BaseRepresentation
bin1011000010000001…
…0010001011111100
321122101010020121100
42300200102023330
522031040044431
61205501533100
7133245144003
oct26040221374
97571106540
102961253116
11128a606328
126a7874190
133826691a3
142013dbc3a
15124e8d4e6
hexb08122fc

2961253116 has 36 divisors (see below), whose sum is σ = 7687701112. Its totient is φ = 960405984.

The previous prime is 2961253109. The next prime is 2961253117. The reversal of 2961253116 is 6113521692.

2961253116 is a `hidden beast` number, since 2 + 9 + 612 + 5 + 31 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2961253117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1110250 + ... + 1112913.

Almost surely, 22961253116 is an apocalyptic number.

It is an amenable number.

2961253116 is an abundant number, since it is smaller than the sum of its proper divisors (4726447996).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2961253116 is a wasteful number, since it uses less digits than its factorization.

2961253116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2223210 (or 2223205 counting only the distinct ones).

The product of its digits is 19440, while the sum is 36.

The square root of 2961253116 is about 54417.3971814162. The cubic root of 2961253116 is about 1436.0134586718.

It can be divided in two parts, 29612 and 53116, that added together give a palindrome (82728).

The spelling of 2961253116 in words is "two billion, nine hundred sixty-one million, two hundred fifty-three thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 2223163 4446326 6669489 8892652 13338978 20008467 26677956 40016934 80033868 82257031 164514062 246771093 329028124 493542186 740313279 987084372 1480626558 2961253116