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2142066675 = 352731131617
BaseRepresentation
bin111111110101101…
…0101011111110011
312112021200021001210
41333223111133303
513341332113200
6552315531203
7104040160230
oct17753253763
95467607053
102142066675
119aa160441
124b9459b03
13281a29298
141646ba787
15c80c6650
hex7fad57f3

2142066675 has 48 divisors (see below), whose sum is σ = 4178081792. Its totient is φ = 947635200.

The previous prime is 2142066673. The next prime is 2142066683. The reversal of 2142066675 is 5766602412.

It is not a de Polignac number, because 2142066675 - 21 = 2142066673 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2142066671) 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 47 ways as a sum of consecutive naturals, for example, 49534 + ... + 82083.

Almost surely, 22142066675 is an apocalyptic number.

2142066675 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2142066675 is a deficient number, since it is larger than the sum of its proper divisors (2036015117).

2142066675 is a wasteful number, since it uses less digits than its factorization.

2142066675 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131668 (or 131663 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 2142066675 is about 46282.4661724070. The cubic root of 2142066675 is about 1289.0734437785.

The spelling of 2142066675 in words is "two billion, one hundred forty-two million, sixty-six thousand, six hundred seventy-five".

Divisors: 1 3 5 7 15 21 25 31 35 75 93 105 155 175 217 465 525 651 775 1085 2325 3255 5425 16275 131617 394851 658085 921319 1974255 2763957 3290425 4080127 4606595 9871275 12240381 13819785 20400635 23032975 28560889 61201905 69098925 85682667 102003175 142804445 306009525 428413335 714022225 2142066675