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46663436664 = 23331316618033
BaseRepresentation
bin101011011101010110…
…111000100101111000
311110110001111012012000
4223131112320211320
51231031314433124
633234211221000
73241235444565
oct533526704570
9143401435160
1046663436664
1118876325699
1290635a7760
1345287281b0
14238955786c
1513319bd6c9
hexadd5b8978

46663436664 has 64 divisors (see below), whose sum is σ = 139591485600. Its totient is φ = 14357979648.

The previous prime is 46663436647. The next prime is 46663436693.

46663436664 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a self number, because there is not a number n which added to its sum of digits gives 46663436664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8306209 + ... + 8311824.

Almost surely, 246663436664 is an apocalyptic number.

It is an amenable number.

46663436664 is an abundant number, since it is smaller than the sum of its proper divisors (92928048936).

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

46663436664 is a wasteful number, since it uses less digits than its factorization.

46663436664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16618061 (or 16618051 counting only the distinct ones).

The product of its digits is 26873856, while the sum is 54.

The spelling of 46663436664 in words is "forty-six billion, six hundred sixty-three million, four hundred thirty-six thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 156 216 234 312 351 468 702 936 1404 2808 16618033 33236066 49854099 66472132 99708198 132944264 149562297 199416396 216034429 299124594 398832792 432068858 448686891 598249188 648103287 864137716 897373782 1196498376 1296206574 1728275432 1794747564 1944309861 2592413148 3589495128 3888619722 5184826296 5832929583 7777239444 11665859166 15554478888 23331718332 46663436664