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3416520212136 = 233253895314521
BaseRepresentation
bin110001101101111000011…
…110010011111010101000
3110002121122011112101010200
4301231320132103322220
5421434013133242021
611133305553112200
7501556361433633
oct61557036237250
913077564471120
103416520212136
1110a7a35655a59
12472189858660
131ba23a9353a5
14bb509164c1a
155dd11640126
hex31b78793ea8

3416520212136 has 48 divisors (see below), whose sum is σ = 9427661916660. Its totient is φ = 1117352520960.

The previous prime is 3416520212071. The next prime is 3416520212167. The reversal of 3416520212136 is 6312120256143.

3416520212136 is a `hidden beast` number, since 3 + 4 + 1 + 6 + 520 + 2 + 121 + 3 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3185261172900 + 231259039236 = 1784730^2 + 480894^2 .

It is a super-2 number, since 2×34165202121362 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 3416520212136.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 447653445 + ... + 447661076.

Almost surely, 23416520212136 is an apocalyptic number.

3416520212136 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3416520212136 is an abundant number, since it is smaller than the sum of its proper divisors (6011141704524).

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

3416520212136 is a wasteful number, since it uses less digits than its factorization.

3416520212136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 895314586 (or 895314579 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Adding to 3416520212136 its reverse (6312120256143), we get a palindrome (9728640468279).

The spelling of 3416520212136 in words is "three trillion, four hundred sixteen billion, five hundred twenty million, two hundred twelve thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 53 72 106 159 212 318 424 477 636 954 1272 1908 3816 895314521 1790629042 2685943563 3581258084 5371887126 7162516168 8057830689 10743774252 16115661378 21487548504 32231322756 47451669613 64462645512 94903339226 142355008839 189806678452 284710017678 379613356904 427065026517 569420035356 854130053034 1138840070712 1708260106068 3416520212136