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36393348368 = 2413674216203
BaseRepresentation
bin100001111001001101…
…100110110100010000
310110221022111122120102
4201321031212310100
51044013144121433
624415135431532
72425601233316
oct417115466420
9113838448512
1036393348368
1114486107313
1270780855a8
13357cab3980
141a935aa0b6
15e3005e4e8
hex879366d10

36393348368 has 80 divisors (see below), whose sum is σ = 77265013056. Its totient is φ = 16504266240.

The previous prime is 36393348361. The next prime is 36393348371. The reversal of 36393348368 is 86384339363.

It is not an unprimeable number, because it can be changed into a prime (36393348361) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5863955 + ... + 5870157.

Almost surely, 236393348368 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 36393348368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38632506528).

36393348368 is an abundant number, since it is smaller than the sum of its proper divisors (40871664688).

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

36393348368 is a wasteful number, since it uses less digits than its factorization.

36393348368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6712 (or 6706 counting only the distinct ones).

The product of its digits is 20155392, while the sum is 56.

The spelling of 36393348368 in words is "thirty-six billion, three hundred ninety-three million, three hundred forty-eight thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 13 16 26 52 67 104 134 208 268 421 536 842 871 1072 1684 1742 3368 3484 5473 6203 6736 6968 10946 12406 13936 21892 24812 28207 43784 49624 56414 80639 87568 99248 112828 161278 225656 322556 366691 415601 451312 645112 733382 831202 1290224 1466764 1662404 2611463 2933528 3324808 5222926 5402813 5867056 6649616 10445852 10805626 20891704 21611252 33949019 41783408 43222504 67898038 86445008 135796076 174968021 271592152 349936042 543184304 699872084 1399744168 2274584273 2799488336 4549168546 9098337092 18196674184 36393348368