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3668280192 = 273212725073
BaseRepresentation
bin1101101010100101…
…1000001110000000
3100110122111221102100
43122221120032000
530003034431232
61403555550400
7156621603303
oct33251301600
910418457370
103668280192
111612715225
128645bb400
13465c98bc5
1426b284b3a
1516709cc7c
hexdaa58380

3668280192 has 96 divisors (see below), whose sum is σ = 10639399680. Its totient is φ = 1213083648.

The previous prime is 3668280181. The next prime is 3668280197. The reversal of 3668280192 is 2910828663.

3668280192 is a `hidden beast` number, since 366 + 8 + 280 + 1 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3668280197) by changing a digit.

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, 133768 + ... + 158840.

It is an arithmetic number, because the mean of its divisors is an integer number (110827080).

Almost surely, 23668280192 is an apocalyptic number.

3668280192 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3668280192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5319699840).

3668280192 is an abundant number, since it is smaller than the sum of its proper divisors (6971119488).

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

3668280192 is a wasteful number, since it uses less digits than its factorization.

3668280192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25220 (or 25205 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 3668280192 is about 60566.3288634865. The cubic root of 3668280192 is about 1542.2478266507.

The spelling of 3668280192 in words is "three billion, six hundred sixty-eight million, two hundred eighty thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 127 128 144 192 254 288 381 384 508 576 762 1016 1143 1152 1524 2032 2286 3048 4064 4572 6096 8128 9144 12192 16256 18288 24384 25073 36576 48768 50146 73152 75219 100292 146304 150438 200584 225657 300876 401168 451314 601752 802336 902628 1203504 1604672 1805256 2407008 3184271 3209344 3610512 4814016 6368542 7221024 9552813 9628032 12737084 14442048 19105626 25474168 28658439 28884096 38211252 50948336 57316878 76422504 101896672 114633756 152845008 203793344 229267512 305690016 407586688 458535024 611380032 917070048 1222760064 1834140096 3668280192