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42060906126 = 2345917212557
BaseRepresentation
bin100111001011000001…
…100111111010001110
311000120022000102020000
4213023001213322032
51142120042444001
631153355105130
73016210542321
oct471301477216
9130508012200
1042060906126
1116924315348
12819a1421a6
133c74033145
14207019c7b8
1511628caa86
hex9cb067e8e

42060906126 has 80 divisors (see below), whose sum is σ = 95938199280. Its totient is φ = 13769274240.

The previous prime is 42060906103. The next prime is 42060906131. The reversal of 42060906126 is 62160906024.

42060906126 is a `hidden beast` number, since 4 + 20 + 609 + 0 + 6 + 1 + 26 = 666.

It is a Curzon number.

It is a congruent 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 39 ways as a sum of consecutive naturals, for example, 16448040 + ... + 16450596.

It is an arithmetic number, because the mean of its divisors is an integer number (1199227491).

Almost surely, 242060906126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42060906126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47969099640).

42060906126 is an abundant number, since it is smaller than the sum of its proper divisors (53877293154).

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

42060906126 is a wasteful number, since it uses less digits than its factorization.

42060906126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4351 (or 4342 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 42060906126 in words is "forty-two billion, sixty million, nine hundred six thousand, one hundred twenty-six".

Divisors: 1 2 3 6 9 18 27 54 59 81 118 162 177 354 531 1062 1593 1721 2557 3186 3442 4779 5114 5163 7671 9558 10326 15342 15489 23013 30978 46026 46467 69039 92934 101539 138078 139401 150863 203078 207117 278802 301726 304617 414234 452589 609234 905178 913851 1357767 1827702 2715534 2741553 4073301 4400597 5483106 8146602 8224659 8801194 12219903 13201791 16449318 24439806 26403582 39605373 79210746 118816119 237632238 259635223 356448357 519270446 712896714 778905669 1557811338 2336717007 4673434014 7010151021 14020302042 21030453063 42060906126