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42033100192 = 252945294289
BaseRepresentation
bin100111001001010111…
…100011010110100000
311000111100200201122121
4213021113203112200
51142040433201232
631150523114024
73015422312416
oct471127432640
9130440621577
1042033100192
111690a653336
128190972914
133c6b348a25
14206a6012b6
151160236d97
hex9c95e35a0

42033100192 has 24 divisors (see below), whose sum is σ = 85606208100. Its totient is φ = 20291841024.

The previous prime is 42033100171. The next prime is 42033100217. The reversal of 42033100192 is 29100133024.

It can be written as a sum of positive squares in 2 ways, for example, as 37777364496 + 4255735696 = 194364^2 + 65236^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 22646217 + ... + 22648072.

Almost surely, 242033100192 is an apocalyptic number.

It is an amenable number.

42033100192 is an abundant number, since it is smaller than the sum of its proper divisors (43573107908).

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

42033100192 is a wasteful number, since it uses less digits than its factorization.

42033100192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45294328 (or 45294320 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

The spelling of 42033100192 in words is "forty-two billion, thirty-three million, one hundred thousand, one hundred ninety-two".

Divisors: 1 2 4 8 16 29 32 58 116 232 464 928 45294289 90588578 181177156 362354312 724708624 1313534381 1449417248 2627068762 5254137524 10508275048 21016550096 42033100192