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1042701465537 = 321493529220333
BaseRepresentation
bin11110010110001011101…
…10011011011111000001
310200200101122202122000200
433023011312123133001
5114040423033344122
62115002131035413
7135222054135444
oct17130566333701
93620348678020
101042701465537
11372230880a86
1214a0ba73bb69
1377431c28904
143867770965b
151c1ca4c25ac
hexf2c5d9b7c1

1042701465537 has 24 divisors (see below), whose sum is σ = 1516669089000. Its totient is φ = 690270190848.

The previous prime is 1042701465529. The next prime is 1042701465539. The reversal of 1042701465537 is 7355641072401.

1042701465537 is a `hidden beast` number, since 1 + 0 + 4 + 2 + 70 + 1 + 46 + 5 + 537 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 23992770816 + 1018708694721 = 154896^2 + 1009311^2 .

It is not a de Polignac number, because 1042701465537 - 23 = 1042701465529 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1042701465492 and 1042701465501.

It is not an unprimeable number, because it can be changed into a prime (1042701465539) 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 23 ways as a sum of consecutive naturals, for example, 4622223 + ... + 4842555.

It is an arithmetic number, because the mean of its divisors is an integer number (63194545375).

Almost surely, 21042701465537 is an apocalyptic number.

It is an amenable number.

1042701465537 is a deficient number, since it is larger than the sum of its proper divisors (473967623463).

1042701465537 is a wasteful number, since it uses less digits than its factorization.

1042701465537 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224017 (or 224014 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 1042701465537 in words is "one trillion, forty-two billion, seven hundred one million, four hundred sixty-five thousand, five hundred thirty-seven".

Divisors: 1 3 9 149 447 1341 3529 10587 31761 220333 525821 660999 1577463 1982997 4732389 32829617 98488851 295466553 777555157 2332665471 6997996413 115855718393 347567155179 1042701465537