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42877648545600 = 26352116531243609
BaseRepresentation
bin10011011111111001110110…
…00000101010011101000000
312121211001201001100102020110
421233330323000222131000
521110001411011424400
6231105415251311320
712013544050101201
oct1157747300523500
9177731631312213
1042877648545600
1112731343871190
124985b858ab540
131ac04639c0a6b
14a83409a455a8
154e552cd22e50
hex26ff3b02a740

42877648545600 has 336 divisors, whose sum is σ = 153698137957440. Its totient is φ = 10378654924800.

The previous prime is 42877648545509. The next prime is 42877648545607. The reversal of 42877648545600 is 654584677824.

42877648545600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (66) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42877648545607) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 33856596 + ... + 35100204.

Almost surely, 242877648545600 is an apocalyptic number.

42877648545600 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 42877648545600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76849068978720).

42877648545600 is an abundant number, since it is smaller than the sum of its proper divisors (110820489411840).

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

42877648545600 is a wasteful number, since it uses less digits than its factorization.

42877648545600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1244298 (or 1244283 counting only the distinct ones).

The product of its (nonzero) digits is 361267200, while the sum is 66.

The spelling of 42877648545600 in words is "forty-two trillion, eight hundred seventy-seven billion, six hundred forty-eight million, five hundred forty-five thousand, six hundred".