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2042452664 = 237149244781
BaseRepresentation
bin111100110111101…
…0101101010111000
312021100020100022222
41321233111222320
513140331441124
6534400503212
7101420363330
oct17157255270
95240210288
102042452664
11958a02a0a
1249001ab08
132671bc395
1415538a0c0
15be49b25e
hex79bd5ab8

2042452664 has 32 divisors (see below), whose sum is σ = 4406076000. Its totient is φ = 869458560.

The previous prime is 2042452637. The next prime is 2042452673. The reversal of 2042452664 is 4662542402.

It is a super-2 number, since 2×20424526642 = 8343225769361393792, which contains 22 as substring.

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, 114047 + ... + 130734.

It is an arithmetic number, because the mean of its divisors is an integer number (137689875).

Almost surely, 22042452664 is an apocalyptic number.

It is an amenable number.

2042452664 is an abundant number, since it is smaller than the sum of its proper divisors (2363623336).

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

2042452664 is a wasteful number, since it uses less digits than its factorization.

2042452664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244943 (or 244939 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 35.

The square root of 2042452664 is about 45193.5024533395. The cubic root of 2042452664 is about 1268.7732101071.

The spelling of 2042452664 in words is "two billion, forty-two million, four hundred fifty-two thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 14 28 56 149 298 596 1043 1192 2086 4172 8344 244781 489562 979124 1713467 1958248 3426934 6853868 13707736 36472369 72944738 145889476 255306583 291778952 510613166 1021226332 2042452664