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42732344657673 = 32117145611332917
BaseRepresentation
bin10011011011101011001100…
…01110010100011100001001
312121022011122120110010001200
421231311212032110130021
521100111320213021143
6230514545040534413
712000211223322606
oct1155654616243411
9177264576403050
1042732344657673
111268575a5905a0
124961993921409
131aac848340858
14a7a383c4d6ad
154e187666e1d3
hex26dd66394709

42732344657673 has 48 divisors (see below), whose sum is σ = 68299230160512. Its totient is φ = 25528007232000.

The previous prime is 42732344657599. The next prime is 42732344657687. The reversal of 42732344657673 is 37675644323724.

42732344657673 is a `hidden beast` number, since 4 + 2 + 7 + 3 + 2 + 34 + 465 + 76 + 73 = 666.

42732344657673 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 42732344657673 - 216 = 42732344592137 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 42732344657673.

It is not an unprimeable number, because it can be changed into a prime (42732344657173) 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, 31392811 + ... + 32725727.

It is an arithmetic number, because the mean of its divisors is an integer number (1422900628344).

Almost surely, 242732344657673 is an apocalyptic number.

It is an amenable number.

42732344657673 is a deficient number, since it is larger than the sum of its proper divisors (25566885502839).

42732344657673 is a wasteful number, since it uses less digits than its factorization.

42732344657673 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1337566 (or 1337563 counting only the distinct ones).

The product of its digits is 426746880, while the sum is 63.

The spelling of 42732344657673 in words is "forty-two trillion, seven hundred thirty-two billion, three hundred forty-four million, six hundred fifty-seven thousand, six hundred seventy-three".

Divisors: 1 3 9 11 33 71 99 213 639 781 2343 4561 7029 13683 41049 50171 150513 323831 451539 971493 1332917 2914479 3562141 3998751 10686423 11996253 14662087 32059269 43986261 94637107 131958783 283911321 851733963 1041008177 3123024531 6079434437 9369073593 18238303311 54714909933 66873778807 200621336421 431639845027 601864009263 1294919535081 3884758605243 4748038295297 14244114885891 42732344657673