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10057829549 = 107329928493
BaseRepresentation
bin10010101110111111…
…00100110010101101
3221221221120200100112
421113133210302231
5131044301021144
64342010105405
7504146066135
oct112737446255
927857520315
1010057829549
1142a1423229
121b4841b265
13c43987541
146b5ad7ac5
153dced299e
hex2577e4cad

10057829549 has 8 divisors (see below), whose sum is σ = 10155261600. Its totient is φ = 9960461296.

The previous prime is 10057829501. The next prime is 10057829581. The reversal of 10057829549 is 94592875001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10057829549 - 28 = 10057829293 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10057829497 and 10057829506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10057829149) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 338747 + ... + 367239.

It is an arithmetic number, because the mean of its divisors is an integer number (1269407700).

Almost surely, 210057829549 is an apocalyptic number.

It is an amenable number.

10057829549 is a deficient number, since it is larger than the sum of its proper divisors (97432051).

10057829549 is a wasteful number, since it uses less digits than its factorization.

10057829549 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31899.

The product of its (nonzero) digits is 907200, while the sum is 50.

The spelling of 10057829549 in words is "ten billion, fifty-seven million, eight hundred twenty-nine thousand, five hundred forty-nine".

Divisors: 1 107 3299 28493 352993 3048751 93998407 10057829549