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46144244164 = 2219360379901
BaseRepresentation
bin101010111110011010…
…010100100111000100
311102002212112110222011
4222332122110213010
51224000411303124
633110503144004
73222332414044
oct527632244704
9142085473864
1046144244164
111862a24a687
128b39745004
134474cb33b5
14233a607724
151301113994
hexabe6949c4

46144244164 has 24 divisors (see below), whose sum is σ = 81192478808. Its totient is φ = 22946457600.

The previous prime is 46144244161. The next prime is 46144244207.

46144244164 is nontrivially palindromic in base 10.

46144244164 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 6546428100 + 39597816064 = 80910^2 + 198992^2 .

It is not an unprimeable number, because it can be changed into a prime (46144244161) 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, 4655614 + ... + 4665514.

Almost surely, 246144244164 is an apocalyptic number.

It is an amenable number.

46144244164 is a deficient number, since it is larger than the sum of its proper divisors (35048234644).

46144244164 is a wasteful number, since it uses less digits than its factorization.

46144244164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16135 (or 16133 counting only the distinct ones).

The product of its digits is 294912, while the sum is 40.

The spelling of 46144244164 in words is "forty-six billion, one hundred forty-four million, two hundred forty-four thousand, one hundred sixty-four".

Divisors: 1 2 4 193 386 772 6037 9901 12074 19802 24148 39604 1165141 1910893 2330282 3821786 4660564 7643572 59772337 119544674 239089348 11536061041 23072122082 46144244164