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2142116660 = 225163657091
BaseRepresentation
bin111111110101110…
…0001101100110100
312112021202210122002
41333223201230310
513341340213120
6552320554432
7104040456035
oct17753415464
95467683562
102142116660
119aa194a52
124b9482a18
13281a45c68
141646d0a8c
15c80d6375
hex7fae1b34

2142116660 has 24 divisors (see below), whose sum is σ = 4526049696. Its totient is φ = 851588640.

The previous prime is 2142116659. The next prime is 2142116689. The reversal of 2142116660 is 666112412.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 325286 + ... + 331805.

It is an arithmetic number, because the mean of its divisors is an integer number (188585404).

Almost surely, 22142116660 is an apocalyptic number.

2142116660 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2142116660 is an abundant number, since it is smaller than the sum of its proper divisors (2383933036).

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

2142116660 is a wasteful number, since it uses less digits than its factorization.

2142116660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657263 (or 657261 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 2142116660 is about 46283.0061685712. The cubic root of 2142116660 is about 1289.0834705182.

The spelling of 2142116660 in words is "two billion, one hundred forty-two million, one hundred sixteen thousand, six hundred sixty".

Divisors: 1 2 4 5 10 20 163 326 652 815 1630 3260 657091 1314182 2628364 3285455 6570910 13141820 107105833 214211666 428423332 535529165 1071058330 2142116660