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363618706068 = 2236127797649
BaseRepresentation
bin1010100101010010101…
…11010010001010010100
31021202120012202011000000
411102221113102022110
521424142342043233
6435013310451300
735161545001452
oct5225127221224
91252505664000
10363618706068
11130234309832
125a57b203b30
132839b1b8397
14138564539d2
1596d296ad13
hex54a95d2294

363618706068 has 84 divisors (see below), whose sum is σ = 954819551700. Its totient is φ = 121110080256.

The previous prime is 363618706037. The next prime is 363618706081. The reversal of 363618706068 is 860607816363.

It can be written as a sum of positive squares in 2 ways, for example, as 269971689744 + 93647016324 = 519588^2 + 306018^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 3674908 + ... + 3772556.

It is an arithmetic number, because the mean of its divisors is an integer number (11366899425).

Almost surely, 2363618706068 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 363618706068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477409775850).

363618706068 is an abundant number, since it is smaller than the sum of its proper divisors (591200845632).

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

363618706068 is a wasteful number, since it uses less digits than its factorization.

363618706068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98948 (or 98931 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 363618706068 in words is "three hundred sixty-three billion, six hundred eighteen million, seven hundred six thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1277 1458 2554 2916 3831 5108 7662 11493 15324 22986 34479 45972 68958 97649 103437 137916 195298 206874 292947 310311 390596 413748 585894 620622 878841 930933 1171788 1241244 1757682 1861866 2636523 3515364 3723732 5273046 7909569 10546092 15819138 23728707 31638276 47457414 71186121 94914828 124697773 142372242 249395546 284744484 374093319 498791092 748186638 1122279957 1496373276 2244559914 3366839871 4489119828 6733679742 10100519613 13467359484 20201039226 30301558839 40402078452 60603117678 90904676517 121206235356 181809353034 363618706068