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63106182140000 = 2554103181169249
BaseRepresentation
bin11100101100101000011011…
…00100011101000001100000
322021102220002100002101110012
432112110031210131001200
531232412430111440000
6342114325125424052
716202162010460016
oct1626241544350140
9267386070071405
1063106182140000
11191201aa70919a
1270b249886b028
132929b6c92981c
1411824d97528b6
1574680b146735
hex39650d91d060

63106182140000 has 240 divisors, whose sum is σ = 157624959492000. Its totient is φ = 24859146240000.

The previous prime is 63106182139991. The next prime is 63106182140021. The reversal of 63106182140000 is 4128160136.

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 372775376 + ... + 372944624.

It is an arithmetic number, because the mean of its divisors is an integer number (656770664550).

Almost surely, 263106182140000 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 63106182140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78812479746000).

63106182140000 is an abundant number, since it is smaller than the sum of its proper divisors (94518777352000).

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

63106182140000 is a wasteful number, since it uses less digits than its factorization.

63106182140000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169563 (or 169540 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The spelling of 63106182140000 in words is "sixty-three trillion, one hundred six billion, one hundred eighty-two million, one hundred forty thousand".