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10042066352437 = 719216992338969
BaseRepresentation
bin1001001000100001100111…
…0011000011100100110101
31022120000022212111100222121
42102020121303003210311
52304012122441234222
633205132300555541
72054341523422240
oct222103163034465
938500285440877
1010042066352437
1132218a8729249
121162277852bb1
1357ac69347622
1426a077d08257
1512633d0475c7
hex92219cc3935

10042066352437 has 24 divisors (see below), whose sum is σ = 12119606952000. Its totient is φ = 8149656846528.

The previous prime is 10042066352371. The next prime is 10042066352441. The reversal of 10042066352437 is 73425366024001.

It is a de Polignac number, because none of the positive numbers 2k-10042066352437 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10042066352393 and 10042066352402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10042066352537) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 3123889 + ... + 5462857.

It is an arithmetic number, because the mean of its divisors is an integer number (504983623000).

Almost surely, 210042066352437 is an apocalyptic number.

It is an amenable number.

10042066352437 is a deficient number, since it is larger than the sum of its proper divisors (2077540599563).

10042066352437 is a wasteful number, since it uses less digits than its factorization.

10042066352437 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2340713 (or 2340694 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 43.

The spelling of 10042066352437 in words is "ten trillion, forty-two billion, sixty-six million, three hundred fifty-two thousand, four hundred thirty-seven".

Divisors: 1 7 19 133 361 1699 2527 11893 32281 225967 613339 2338969 4293373 16372783 44440411 311082877 844367809 3973908331 5910574663 27817358317 75504258289 528529808023 1434580907491 10042066352437