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42097150746 = 23272314526277
BaseRepresentation
bin100111001101001011…
…111000101100011010
311000122211012211111100
4213031023320230122
51142203332310441
631201132012230
73020130606630
oct471513705432
9130584184440
1042097150746
1116942820482
1281aa301076
133c7b6b3571
142074d15350
151165b89cb6
hex9cd2f8b1a

42097150746 has 48 divisors (see below), whose sum is σ = 108772769664. Its totient is φ = 11504810592.

The previous prime is 42097150649. The next prime is 42097150757. The reversal of 42097150746 is 64705179024.

42097150746 is a `hidden beast` number, since 420 + 9 + 7 + 150 + 74 + 6 = 666.

It is a Curzon 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 23 ways as a sum of consecutive naturals, for example, 7260241 + ... + 7266036.

It is an arithmetic number, because the mean of its divisors is an integer number (2266099368).

Almost surely, 242097150746 is an apocalyptic number.

42097150746 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

42097150746 is an abundant number, since it is smaller than the sum of its proper divisors (66675618918).

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

42097150746 is a wasteful number, since it uses less digits than its factorization.

42097150746 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14526315 (or 14526312 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 42097150746 in words is "forty-two billion, ninety-seven million, one hundred fifty thousand, seven hundred forty-six".

Divisors: 1 2 3 6 7 9 14 18 21 23 42 46 63 69 126 138 161 207 322 414 483 966 1449 2898 14526277 29052554 43578831 87157662 101683939 130736493 203367878 261472986 305051817 334104371 610103634 668208742 915155451 1002313113 1830310902 2004626226 2338730597 3006939339 4677461194 6013878678 7016191791 14032383582 21048575373 42097150746