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42343375680 = 26325194671657
BaseRepresentation
bin100111011011110111…
…001010001101000000
311001021222112100121100
4213123313022031000
51143204401010210
631241405254400
73026210516604
oct473367121500
9131258470540
1042343375680
1116a59805961
128258864400
133cba7038a8
1420998cb504
15117c5c55c0
hex9dbdca340

42343375680 has 336 divisors, whose sum is σ = 153730025280. Its totient is φ = 10667925504.

The previous prime is 42343375667. The next prime is 42343375703. The reversal of 42343375680 is 8657334324.

42343375680 is a `hidden beast` number, since 4 + 234 + 337 + 5 + 6 + 80 = 666.

42343375680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×423433756802 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25553412 + ... + 25555068.

Almost surely, 242343375680 is an apocalyptic number.

42343375680 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 42343375680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76865012640).

42343375680 is an abundant number, since it is smaller than the sum of its proper divisors (111386649600).

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

42343375680 is a wasteful number, since it uses less digits than its factorization.

42343375680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2166 (or 2153 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

The spelling of 42343375680 in words is "forty-two billion, three hundred forty-three million, three hundred seventy-five thousand, six hundred eighty".