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663215742 = 23372576827
BaseRepresentation
bin100111100001111…
…101111001111110
31201012221211222000
4213201331321332
52324240400432
6145451003130
722302145410
oct4741757176
91635854860
10663215742
11310405892
121661394a6
13a7530467
14641209b0
153d35857c
hex2787de7e

663215742 has 64 divisors (see below), whose sum is σ = 1691159040. Its totient is φ = 188725248.

The previous prime is 663215737. The next prime is 663215759. The reversal of 663215742 is 247512366.

663215742 is a `hidden beast` number, since 6 + 63 + 21 + 574 + 2 = 666.

It is a super-2 number, since 2×6632157422 = 879710240873221128, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 663215697 and 663215706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 93733 + ... + 100559.

It is an arithmetic number, because the mean of its divisors is an integer number (26424360).

Almost surely, 2663215742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 663215742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (845579520).

663215742 is an abundant number, since it is smaller than the sum of its proper divisors (1027943298).

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

663215742 is a wasteful number, since it uses less digits than its factorization.

663215742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7102 (or 7096 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 663215742 is about 25752.9754009124. The cubic root of 663215742 is about 872.0705262025.

The spelling of 663215742 in words is "six hundred sixty-three million, two hundred fifteen thousand, seven hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 257 378 514 771 1542 1799 2313 3598 4626 5397 6827 6939 10794 13654 13878 16191 20481 32382 40962 47789 48573 61443 95578 97146 122886 143367 184329 286734 368658 430101 860202 1290303 1754539 2580606 3509078 5263617 10527234 12281773 15790851 24563546 31581702 36845319 47372553 73690638 94745106 110535957 221071914 331607871 663215742