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42556136492880 = 24335171960996641
BaseRepresentation
bin10011010110100010111110…
…11001100000111101010000
312120200022211022200212212000
421223101133121200331100
521034214431420233010
6230302004052234000
711651402506534623
oct1153213731407520
9176608738625760
1042556136492880
1112617a5768331a
1249337b800b900
131a9904616529a
14a71a2989bdba
154dbeb1cbc7c0
hex26b45f660f50

42556136492880 has 320 divisors, whose sum is σ = 163373405932800. Its totient is φ = 10118610616320.

The previous prime is 42556136492827. The next prime is 42556136492941. The reversal of 42556136492880 is 8829463165524.

42556136492880 is a `hidden beast` number, since 4 + 2 + 5 + 5 + 6 + 136 + 492 + 8 + 8 + 0 = 666.

42556136492880 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×425561364928802 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29800641 + ... + 31196000.

It is an arithmetic number, because the mean of its divisors is an integer number (510541893540).

Almost surely, 242556136492880 is an apocalyptic number.

42556136492880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42556136492880 is an abundant number, since it is smaller than the sum of its proper divisors (120817269439920).

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

42556136492880 is a wasteful number, since it uses less digits than its factorization.

42556136492880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60996699 (or 60996687 counting only the distinct ones).

The product of its (nonzero) digits is 99532800, while the sum is 63.

The spelling of 42556136492880 in words is "forty-two trillion, five hundred fifty-six billion, one hundred thirty-six million, four hundred ninety-two thousand, eight hundred eighty".