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42054649238736 = 2432292046175269
BaseRepresentation
bin10011000111111100111000…
…11011011101010011010000
312111220101101210221211110200
421203332130123131103100
521003010410201114421
6225235350020055200
711600230261314321
oct1143763433352320
9174811353854420
1042054649238736
1112444305150872
124872580b34500
131a60975b68894
14a55654d32448
154cde1080b726
hex263f9c6dd4d0

42054649238736 has 30 divisors (see below), whose sum is σ = 117694608633810. Its totient is φ = 14018216412864.

The previous prime is 42054649238713. The next prime is 42054649238741. The reversal of 42054649238736 is 63783294645024.

It is a happy number.

42054649238736 is a `hidden beast` number, since 4 + 2 + 0 + 5 + 46 + 492 + 38 + 73 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 36170842208400 + 5883807030336 = 6014220^2 + 2425656^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 146023087491 + ... + 146023087778.

It is an arithmetic number, because the mean of its divisors is an integer number (3923153621127).

Almost surely, 242054649238736 is an apocalyptic number.

It is an amenable number.

42054649238736 is an abundant number, since it is smaller than the sum of its proper divisors (75639959395074).

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

42054649238736 is a wasteful number, since it uses less digits than its factorization.

42054649238736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292046175283 (or 292046175274 counting only the distinct ones).

The product of its (nonzero) digits is 209018880, while the sum is 63.

The spelling of 42054649238736 in words is "forty-two trillion, fifty-four billion, six hundred forty-nine million, two hundred thirty-eight thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 292046175269 584092350538 876138525807 1168184701076 1752277051614 2336369402152 2628415577421 3504554103228 4672738804304 5256831154842 7009108206456 10513662309684 14018216412912 21027324619368 42054649238736