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46643234664 = 23313149497547
BaseRepresentation
bin101011011100001001…
…110100011101101000
311110101122110211020210
4223130021310131220
51231011132002124
633232210221120
73240601644615
oct533411643550
9143348424223
1046643234664
1118865987624
1290588847a0
1345244a3b50
1423869b950c
15132ed2ca29
hexadc274768

46643234664 has 32 divisors (see below), whose sum is σ = 125577940320. Its totient is φ = 14351764416.

The previous prime is 46643234623. The next prime is 46643234681.

It is a happy number.

46643234664 is nontrivially palindromic in base 10.

46643234664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 74748462 + ... + 74749085.

It is an arithmetic number, because the mean of its divisors is an integer number (3924310635).

Almost surely, 246643234664 is an apocalyptic number.

It is an amenable number.

46643234664 is an abundant number, since it is smaller than the sum of its proper divisors (78934705656).

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

46643234664 is a wasteful number, since it uses less digits than its factorization.

46643234664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149497569 (or 149497565 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 48.

The spelling of 46643234664 in words is "forty-six billion, six hundred forty-three million, two hundred thirty-four thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 149497547 298995094 448492641 597990188 896985282 1195980376 1793970564 1943468111 3587941128 3886936222 5830404333 7773872444 11660808666 15547744888 23321617332 46643234664