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163332638406 = 2347257560437
BaseRepresentation
bin1001100000011101100…
…0100100011011000110
3120121120221011201110000
42120013120210123012
510134001123412111
6203011201142130
714541351343110
oct2300730443306
9517527151400
10163332638406
11632a601a783
12277a392a946
131252c838b02
147c963883b0
1543ae33ac56
hex26076246c6

163332638406 has 80 divisors (see below), whose sum is σ = 419898083616. Its totient is φ = 46484803584.

The previous prime is 163332638389. The next prime is 163332638423. The reversal of 163332638406 is 604836233361.

163332638406 is a `hidden beast` number, since 1 + 6 + 3 + 3 + 3 + 2 + 638 + 4 + 0 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (163332638389) and next prime (163332638423).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11220 + ... + 571656.

Almost surely, 2163332638406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 163332638406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209949041808).

163332638406 is an abundant number, since it is smaller than the sum of its proper divisors (256565445210).

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

163332638406 is a wasteful number, since it uses less digits than its factorization.

163332638406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560715 (or 560706 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 45.

The spelling of 163332638406 in words is "one hundred sixty-three billion, three hundred thirty-two million, six hundred thirty-eight thousand, four hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 257 378 514 567 771 1134 1542 1799 2313 3598 4626 5397 6939 10794 13878 16191 20817 32382 41634 48573 97146 145719 291438 560437 1120874 1681311 3362622 3923059 5043933 7846118 10087866 11769177 15131799 23538354 30263598 35307531 45395397 70615062 90790794 105922593 144032309 211845186 288064618 317767779 432096927 635535558 864193854 1008226163 1296290781 2016452326 2592581562 3024678489 3888872343 6049356978 7777744686 9074035467 11666617029 18148070934 23333234058 27222106401 54444212802 81666319203 163332638406