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42091792036 = 2272597974567
BaseRepresentation
bin100111001100110111…
…011100011010100100
311000122110010120201121
4213030313130122210
51142200444321121
631200421103324
73020034220600
oct471467343244
9130573116647
1042091792036
111693a7a0398
1281a8557b44
133c7a558428
14207431c500
15116547c141
hex9ccddc6a4

42091792036 has 72 divisors (see below), whose sum is σ = 87267620160. Its totient is φ = 17707459392.

The previous prime is 42091792027. The next prime is 42091792049. The reversal of 42091792036 is 63029719024.

It is a junction number, because it is equal to n+sod(n) for n = 42091791983 and 42091792001.

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, 9214225 + ... + 9218791.

It is an arithmetic number, because the mean of its divisors is an integer number (1212050280).

Almost surely, 242091792036 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42091792036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43633810080).

42091792036 is an abundant number, since it is smaller than the sum of its proper divisors (45175828124).

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

42091792036 is a wasteful number, since it uses less digits than its factorization.

42091792036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5441 (or 5432 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 43.

The spelling of 42091792036 in words is "forty-two billion, ninety-one million, seven hundred ninety-two thousand, thirty-six".

Divisors: 1 2 4 7 14 28 49 59 98 118 196 236 413 797 826 1594 1652 2891 3188 4567 5579 5782 9134 11158 11564 18268 22316 31969 39053 47023 63938 78106 94046 127876 156212 188092 223783 269453 329161 447566 538906 658322 895132 1077812 1316644 1886171 2304127 3639899 3772342 4608254 7279798 7544684 9216508 13203197 14559596 25479293 26406394 50958586 52812788 101917172 178355051 214754041 356710102 429508082 713420204 859016164 1503278287 3006556574 6013113148 10522948009 21045896018 42091792036