Search a number
-
+
36568121382 = 2331381164231
BaseRepresentation
bin100010000011101000…
…010100000000100110
310111101111101001002000
4202003220110000212
51044342414341012
624444341430130
72433122621532
oct420350240046
9114344331060
1036568121382
1114565829921
12710670b346
1335aa077660
141aac8a2bc2
15e40583ddc
hex883a14026

36568121382 has 64 divisors (see below), whose sum is σ = 87622725120. Its totient is φ = 11237680800.

The previous prime is 36568121377. The next prime is 36568121413. The reversal of 36568121382 is 28312186563.

36568121382 is a `hidden beast` number, since 3 + 6 + 568 + 1 + 2 + 1 + 3 + 82 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 537207 + ... + 601437.

It is an arithmetic number, because the mean of its divisors is an integer number (1369105080).

Almost surely, 236568121382 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36568121382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43811362560).

36568121382 is an abundant number, since it is smaller than the sum of its proper divisors (51054603738).

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

36568121382 is a wasteful number, since it uses less digits than its factorization.

36568121382 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65066 (or 65060 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The spelling of 36568121382 in words is "thirty-six billion, five hundred sixty-eight million, one hundred twenty-one thousand, three hundred eighty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 234 351 702 811 1622 2433 4866 7299 10543 14598 21086 21897 31629 43794 63258 64231 94887 128462 189774 192693 284661 385386 569322 578079 835003 1156158 1670006 1734237 2505009 3468474 5010018 7515027 15030054 22545081 45090162 52091341 104182682 156274023 312548046 468822069 677187433 937644138 1354374866 1406466207 2031562299 2812932414 4063124598 6094686897 12189373794 18284060691 36568121382