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2141776168 = 237238116063
BaseRepresentation
bin111111110101000…
…1110100100101000
312112021010111120021
41333222032210220
513341243314133
6552305410224
7104034540250
oct17752164450
95467114507
102141776168
119a9a82154
124b9339974
13281956c9c
14164642960
15c806a52d
hex7fa8e928

2141776168 has 32 divisors (see below), whose sum is σ = 4591733760. Its totient is φ = 917461440.

The previous prime is 2141776151. The next prime is 2141776177. The reversal of 2141776168 is 8616771412.

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 125305 + ... + 141367.

It is an arithmetic number, because the mean of its divisors is an integer number (143491680).

Almost surely, 22141776168 is an apocalyptic number.

2141776168 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2141776168 is an abundant number, since it is smaller than the sum of its proper divisors (2449957592).

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

2141776168 is a wasteful number, since it uses less digits than its factorization.

2141776168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18457 (or 18453 counting only the distinct ones).

The product of its digits is 112896, while the sum is 43.

The square root of 2141776168 is about 46279.3276528517. The cubic root of 2141776168 is about 1289.0151664470.

The spelling of 2141776168 in words is "two billion, one hundred forty-one million, seven hundred seventy-six thousand, one hundred sixty-eight".

Divisors: 1 2 4 7 8 14 28 56 2381 4762 9524 16063 16667 19048 32126 33334 64252 66668 112441 128504 133336 224882 449764 899528 38246003 76492006 152984012 267722021 305968024 535444042 1070888084 2141776168