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42016510242 = 2337176538517
BaseRepresentation
bin100111001000011000…
…010001000100100010
311000110012110212112000
4213020120101010202
51142022211311432
631145131344430
73015131305260
oct471030210442
9130405425460
1042016510242
1116901252033
1281872b2116
133c67a8a7a5
142068323430
15115da5b57c
hex9c8611122

42016510242 has 64 divisors (see below), whose sum is σ = 112985591040. Its totient is φ = 11298555648.

The previous prime is 42016510229. The next prime is 42016510243. The reversal of 42016510242 is 24201561024.

42016510242 is a `hidden beast` number, since 4 + 2 + 0 + 1 + 651 + 0 + 2 + 4 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (42016510243) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3262833 + ... + 3275684.

It is an arithmetic number, because the mean of its divisors is an integer number (1765399860).

Almost surely, 242016510242 is an apocalyptic number.

42016510242 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

42016510242 is an abundant number, since it is smaller than the sum of its proper divisors (70969080798).

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

42016510242 is a wasteful number, since it uses less digits than its factorization.

42016510242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6538552 (or 6538546 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The spelling of 42016510242 in words is "forty-two billion, sixteen million, five hundred ten thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 9 14 17 18 21 27 34 42 51 54 63 102 119 126 153 189 238 306 357 378 459 714 918 1071 2142 3213 6426 6538517 13077034 19615551 39231102 45769619 58846653 91539238 111154789 117693306 137308857 176539959 222309578 274617714 333464367 353079918 411926571 666928734 778083523 823853142 1000393101 1235779713 1556167046 2000786202 2334250569 2471559426 3001179303 4668501138 6002358606 7002751707 14005503414 21008255121 42016510242