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42110012016 = 24321631794053
BaseRepresentation
bin100111001101111100…
…111100101001110000
311000200201102020211200
4213031330330221300
51142220130341031
631202311411200
73020345124222
oct471574745160
9130621366750
1042110012016
111694a005326
1281b2683b00
133c81267597
142076902412
151166d7a8e6
hex9cdf3ca70

42110012016 has 60 divisors (see below), whose sum is σ = 118572616968. Its totient is φ = 13950548352.

The previous prime is 42110012011. The next prime is 42110012017. The reversal of 42110012016 is 61021001124.

It is a super-2 number, since 2×421100120162 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 42110012016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42110012011) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 873555 + ... + 920498.

Almost surely, 242110012016 is an apocalyptic number.

It is an amenable number.

42110012016 is an abundant number, since it is smaller than the sum of its proper divisors (76462604952).

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

42110012016 is a wasteful number, since it uses less digits than its factorization.

42110012016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1794230 (or 1794221 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The spelling of 42110012016 in words is "forty-two billion, one hundred ten million, twelve thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 163 326 489 652 978 1304 1467 1956 2608 2934 3912 5868 7824 11736 23472 1794053 3588106 5382159 7176212 10764318 14352424 16146477 21528636 28704848 32292954 43057272 64585908 86114544 129171816 258343632 292430639 584861278 877291917 1169722556 1754583834 2339445112 2631875751 3509167668 4678890224 5263751502 7018335336 10527503004 14036670672 21055006008 42110012016