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2142012168 = 23339916723
BaseRepresentation
bin111111110101100…
…1000001100001000
312112021120111022000
41333223020030020
513341323342133
6552314431000
7104036542302
oct17753101410
95467514260
102142012168
119aa12349a
124b9432460
13281a0a52a
141646a4972
15c80b5413
hex7fac8308

2142012168 has 32 divisors (see below), whose sum is σ = 5950034400. Its totient is φ = 714003984.

The previous prime is 2142012167. The next prime is 2142012199. The reversal of 2142012168 is 8612102412.

2142012168 is a `hidden beast` number, since 21 + 420 + 1 + 216 + 8 = 666.

It is a super-2 number, since 2×21420121682 = 9176432255720120448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2142012167) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4958146 + ... + 4958577.

It is an arithmetic number, because the mean of its divisors is an integer number (185938575).

Almost surely, 22142012168 is an apocalyptic number.

It is an amenable number.

2142012168 is an abundant number, since it is smaller than the sum of its proper divisors (3808022232).

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

2142012168 is a wasteful number, since it uses less digits than its factorization.

2142012168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9916738 (or 9916728 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 2142012168 is about 46281.8773171530. The cubic root of 2142012168 is about 1289.0625097706.

The spelling of 2142012168 in words is "two billion, one hundred forty-two million, twelve thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 9916723 19833446 29750169 39666892 59500338 79333784 89250507 119000676 178501014 238001352 267751521 357002028 535503042 714004056 1071006084 2142012168