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42276123521280 = 283551112356237
BaseRepresentation
bin10011001110011001011010…
…10100110011000100000000
312112200120001201220002200000
421213030231110303010000
521020123000110140110
6225525214422400000
711622230515542135
oct1147145524630400
9175616051802600
1042276123521280
111251a226656310
1248a9490290000
131a7881011bccc
14a6226502658c
154d4a741661c0
hex26732d533100

42276123521280 has 432 divisors, whose sum is σ = 165478297892544. Its totient is φ = 10248756387840.

The previous prime is 42276123521237. The next prime is 42276123521311. The reversal of 42276123521280 is 8212532167224.

42276123521280 is a `hidden beast` number, since 4 + 2 + 2 + 7 + 6 + 12 + 352 + 1 + 280 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×422761235212802 (a number of 28 digits) contains 22 as substring.

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

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 47 ways as a sum of consecutive naturals, for example, 2756679 + ... + 9599558.

It is an arithmetic number, because the mean of its divisors is an integer number (383051615492).

Almost surely, 242276123521280 is an apocalyptic number.

42276123521280 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 42276123521280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82739148946272).

42276123521280 is an abundant number, since it is smaller than the sum of its proper divisors (123202174371264).

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

42276123521280 is a wasteful number, since it uses less digits than its factorization.

42276123521280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12356284 (or 12356258 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 42276123521280 in words is "forty-two trillion, two hundred seventy-six billion, one hundred twenty-three million, five hundred twenty-one thousand, two hundred eighty".