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2006614235625 = 3544150115209
BaseRepresentation
bin11101001100110011100…
…001110101100111101001
321002211102101200211111220
4131030303201311213221
5230334021221020000
64133454215012253
7264654525402606
oct35146341654751
97084371624456
102006614235625
11704000472a1a
12284a8b06a089
131172b897146c
146d1990ad6ad
15372e39e61a0
hex1d3338759e9

2006614235625 has 80 divisors (see below), whose sum is σ = 3426171524160. Its totient is φ = 1043683200000.

The previous prime is 2006614235617. The next prime is 2006614235627. The reversal of 2006614235625 is 5265324166002.

It is not a de Polignac number, because 2006614235625 - 23 = 2006614235617 is a prime.

It is a super-2 number, since 2×20066142356252 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2006614235627) 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 79 ways as a sum of consecutive naturals, for example, 385218021 + ... + 385223229.

It is an arithmetic number, because the mean of its divisors is an integer number (42827144052).

Almost surely, 22006614235625 is an apocalyptic number.

2006614235625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2006614235625 is a deficient number, since it is larger than the sum of its proper divisors (1419557288535).

2006614235625 is an equidigital number, since it uses as much as digits as its factorization.

2006614235625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10284 (or 10269 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 42.

The spelling of 2006614235625 in words is "two trillion, six billion, six hundred fourteen million, two hundred thirty-five thousand, six hundred twenty-five".

Divisors: 1 3 5 15 25 41 75 123 125 205 375 615 625 1025 1875 3075 5011 5125 5209 15033 15375 15627 25055 25625 26045 75165 76875 78135 125275 130225 205451 213569 375825 390675 616353 626375 640707 651125 1027255 1067845 1879125 1953375 3081765 3131875 3203535 3255625 5136275 5339225 9395625 9766875 15408825 16017675 25681375 26102299 26696125 77044125 78306897 80088375 128406875 130511495 133480625 385220625 391534485 400441875 652557475 1070194259 1957672425 3210582777 3262787375 5350971295 9788362125 16052913885 16313936875 26754856475 48941810625 80264569425 133774282375 401322847125 668871411875 2006614235625