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2142435664 = 24341339233
BaseRepresentation
bin111111110110010…
…1111100101010000
312112022101000020001
41333230233211100
513341430420124
6552331455344
7104043255055
oct17754574520
95468330201
102142435664
119aa392696
124b95b7554
13281b28215
1416477502c
15c814ab44
hex7fb2f950

2142435664 has 20 divisors (see below), whose sum is σ = 4152291156. Its totient is φ = 1070876672.

The previous prime is 2142435653. The next prime is 2142435677. The reversal of 2142435664 is 4665342412.

It can be written as a sum of positive squares in 2 ways, for example, as 1005397264 + 1137038400 = 31708^2 + 33720^2 .

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 3 ways as a sum of consecutive naturals, for example, 34992 + ... + 74224.

Almost surely, 22142435664 is an apocalyptic number.

It is an amenable number.

2142435664 is a deficient number, since it is larger than the sum of its proper divisors (2009855492).

2142435664 is a wasteful number, since it uses less digits than its factorization.

2142435664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42654 (or 42648 counting only the distinct ones).

The product of its digits is 138240, while the sum is 37.

The square root of 2142435664 is about 46286.4522727763. The cubic root of 2142435664 is about 1289.1474574429.

The spelling of 2142435664 in words is "two billion, one hundred forty-two million, four hundred thirty-five thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 3413 6826 13652 27304 39233 54608 78466 156932 313864 627728 133902229 267804458 535608916 1071217832 2142435664