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36212749971066 = 23213116791960481
BaseRepresentation
bin10000011101111011100000…
…00110010010111001111010
311202012220102210211122010100
420032331300012102321322
514221302202443033231
6205003524020300230
710425166462666614
oct1016756006227172
9152186383748110
1036212749971066
11105a1817326679
12408a334841676
131728b0343a296
148d29c66dddb4
1542be9b6ea1e6
hex20ef70192e7a

36212749971066 has 48 divisors (see below), whose sum is σ = 79533310304448. Its totient is φ = 11907042950400.

The previous prime is 36212749971061. The next prime is 36212749971089. The reversal of 36212749971066 is 66017994721263.

36212749971066 is a `hidden beast` number, since 3 + 6 + 2 + 12 + 7 + 499 + 71 + 0 + 66 = 666.

36212749971066 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×362127499710662 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 36212749970994 and 36212749971012.

It is not an unprimeable number, because it can be changed into a prime (36212749971061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45586455 + ... + 46374026.

It is an arithmetic number, because the mean of its divisors is an integer number (1656943964676).

Almost surely, 236212749971066 is an apocalyptic number.

36212749971066 is an abundant number, since it is smaller than the sum of its proper divisors (43320560333382).

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

36212749971066 is a wasteful number, since it uses less digits than its factorization.

36212749971066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91960787 (or 91960784 counting only the distinct ones).

The product of its (nonzero) digits is 41150592, while the sum is 63.

The spelling of 36212749971066 in words is "thirty-six trillion, two hundred twelve billion, seven hundred forty-nine million, nine hundred seventy-one thousand, sixty-six".

Divisors: 1 2 3 6 9 18 131 167 262 334 393 501 786 1002 1179 1503 2358 3006 21877 43754 65631 131262 196893 393786 91960481 183920962 275881443 551762886 827644329 1655288658 12046823011 15357400327 24093646022 30714800654 36140469033 46072200981 72280938066 92144401962 108421407099 138216602943 216842814198 276433205886 2011819442837 4023638885674 6035458328511 12070916657022 18106374985533 36212749971066