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663993399366 = 2321143113690163
BaseRepresentation
bin10011010100110010001…
…01110011100001000110
32100110212211201120022200
421222121011303201012
541334324302234431
61225011230535330
765654242525323
oct11523105634106
92313784646280
10663993399366
11236663a66710
12a882a067546
134a7ca8378ab
14241cd24db4a
1512412e8eee6
hex9a99173846

663993399366 has 96 divisors (see below), whose sum is σ = 1620151708032. Its totient is φ = 194791322880.

The previous prime is 663993399337. The next prime is 663993399371.

663993399366 is a `hidden beast` number, since 6 + 63 + 99 + 33 + 99 + 366 = 666.

663993399366 is nontrivially palindromic in base 10.

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

It is a junction number, because it is equal to n+sod(n) for n = 663993399294 and 663993399303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 617001 + ... + 1307163.

It is an arithmetic number, because the mean of its divisors is an integer number (16876580292).

Almost surely, 2663993399366 is an apocalyptic number.

663993399366 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 663993399366, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (810075854016).

663993399366 is an abundant number, since it is smaller than the sum of its proper divisors (956158308666).

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

663993399366 is a wasteful number, since it uses less digits than its factorization.

663993399366 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 690338 (or 690335 counting only the distinct ones).

The product of its digits is 688747536, while the sum is 72.

The spelling of 663993399366 in words is "six hundred sixty-three billion, nine hundred ninety-three million, three hundred ninety-nine thousand, three hundred sixty-six".

Divisors: 1 2 3 6 9 11 18 22 33 43 66 86 99 113 129 198 226 258 339 387 473 678 774 946 1017 1243 1419 2034 2486 2838 3729 4257 4859 7458 8514 9718 11187 14577 22374 29154 43731 53449 87462 106898 160347 320694 481041 690163 962082 1380326 2070489 4140978 6211467 7591793 12422934 15183586 22775379 29677009 45550758 59354018 68326137 77988419 89031027 136652274 155976838 178062054 233965257 267093081 326447099 467930514 534186162 652894198 701895771 857872609 979341297 1403791542 1715745218 1958682594 2573617827 2938023891 3353502017 5147235654 5876047782 6707004034 7720853481 10060506051 15441706962 20121012102 30181518153 36888522187 60363036306 73777044374 110665566561 221331133122 331996699683 663993399366