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36214156368 = 24321319345169
BaseRepresentation
bin100001101110100010…
…000010110001010000
310110110211022202100200
4201232202002301100
51043131311000433
624345255015200
72421264151545
oct415642026120
9113424282320
1036214156368
11143a3a46755
12702806a500
1335519337c0
141a77882bcc
15e1e465613
hex86e882c50

36214156368 has 60 divisors (see below), whose sum is σ = 109145449140. Its totient is φ = 11142816768.

The previous prime is 36214156327. The next prime is 36214156373. The reversal of 36214156368 is 86365141263.

36214156368 is a `hidden beast` number, since 3 + 6 + 2 + 1 + 4 + 1 + 5 + 636 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9810506304 + 26403650064 = 99048^2 + 162492^2 .

It is a super-2 number, since 2×362141563682 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9670713 + ... + 9674456.

It is an arithmetic number, because the mean of its divisors is an integer number (1819090819).

Almost surely, 236214156368 is an apocalyptic number.

It is an amenable number.

36214156368 is an abundant number, since it is smaller than the sum of its proper divisors (72931292772).

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

36214156368 is a wasteful number, since it uses less digits than its factorization.

36214156368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19345196 (or 19345187 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The spelling of 36214156368 in words is "thirty-six billion, two hundred fourteen million, one hundred fifty-six thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1872 19345169 38690338 58035507 77380676 116071014 154761352 174106521 232142028 251487197 309522704 348213042 464284056 502974394 696426084 754461591 928568112 1005948788 1392852168 1508923182 2011897576 2263384773 2785704336 3017846364 4023795152 4526769546 6035692728 9053539092 12071385456 18107078184 36214156368