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2142709556 = 2213132131193
BaseRepresentation
bin111111110110111…
…0010011100110100
312112022212220221012
41333231302130310
513342013201211
6552341411352
7104045505431
oct17755623464
95468786835
102142709556
119aa55a449
124b9709b58
13281bc2aa0
14164806b88
15c81a1d8b
hex7fb72734

2142709556 has 24 divisors (see below), whose sum is σ = 4041369864. Its totient is φ = 988162560.

The previous prime is 2142709537. The next prime is 2142709559. The reversal of 2142709556 is 6559072412.

It can be written as a sum of positive squares in 4 ways, for example, as 404653456 + 1738056100 = 20116^2 + 41690^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2142709559) 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, 53096 + ... + 84288.

It is an arithmetic number, because the mean of its divisors is an integer number (168390411).

Almost surely, 22142709556 is an apocalyptic number.

2142709556 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

2142709556 is a deficient number, since it is larger than the sum of its proper divisors (1898660308).

2142709556 is a wasteful number, since it uses less digits than its factorization.

2142709556 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32531 (or 32529 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 41.

The square root of 2142709556 is about 46289.4108409256. The cubic root of 2142709556 is about 1289.2023905790.

The spelling of 2142709556 in words is "two billion, one hundred forty-two million, seven hundred nine thousand, five hundred fifty-six".

Divisors: 1 2 4 13 26 52 1321 2642 5284 17173 31193 34346 62386 68692 124772 405509 811018 1622036 41205953 82411906 164823812 535677389 1071354778 2142709556