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42885260999680 = 2105111259604811
BaseRepresentation
bin10011100000001000000001…
…01111110111110000000000
312121211210100120112011002011
421300010000233313300000
521110113003303442210
6231113114504502304
712014233513636651
oct1160040057676000
9177753316464064
1042885260999680
111273459a8aa650
12498754b17a994
131ac10a7b63168
14a8392ca6b528
154e58262b9d8a
hex270100bf7c00

42885260999680 has 176 divisors, whose sum is σ = 112315910878080. Its totient is φ = 15582228070400.

The previous prime is 42885260999671. The next prime is 42885260999683. The reversal of 42885260999680 is 8699906258824.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (176).

It is a super-2 number, since 2×428852609996802 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42885260999597 and 42885260999606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42885260999683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70604475 + ... + 71209285.

Almost surely, 242885260999680 is an apocalyptic number.

42885260999680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42885260999680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56157955439040).

42885260999680 is an abundant number, since it is smaller than the sum of its proper divisors (69430649878400).

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

42885260999680 is a wasteful number, since it uses less digits than its factorization.

42885260999680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606106 (or 606088 counting only the distinct ones).

The product of its (nonzero) digits is 1074954240, while the sum is 76.

The spelling of 42885260999680 in words is "forty-two trillion, eight hundred eighty-five billion, two hundred sixty million, nine hundred ninety-nine thousand, six hundred eighty".