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63142624136 = 23174797101839
BaseRepresentation
bin111010110011100101…
…111111101110001000
320000222111222122121202
4322303211333232020
52013304002433021
645001325323332
74363506310124
oct726345775610
9200874878552
1063142624136
1124862402099
12102a2406548
135c5385a2b7
1430addc4584
1519985baa0b
hexeb397fb88

63142624136 has 64 divisors (see below), whose sum is σ = 129344947200. Its totient is φ = 28781862912.

The previous prime is 63142624073. The next prime is 63142624169.

63142624136 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 63142624136.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 569105 + ... + 670943.

It is an arithmetic number, because the mean of its divisors is an integer number (2021014800).

Almost surely, 263142624136 is an apocalyptic number.

It is an amenable number.

63142624136 is an abundant number, since it is smaller than the sum of its proper divisors (66202323064).

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

63142624136 is a wasteful number, since it uses less digits than its factorization.

63142624136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102006 (or 102002 counting only the distinct ones).

The product of its digits is 124416, while the sum is 38.

The spelling of 63142624136 in words is "sixty-three billion, one hundred forty-two million, six hundred twenty-four thousand, one hundred thirty-six".

Divisors: 1 2 4 8 17 34 47 68 94 97 136 188 194 376 388 776 799 1598 1649 3196 3298 4559 6392 6596 9118 13192 18236 36472 77503 101839 155006 203678 310012 407356 620024 814712 1731263 3462526 4786433 6925052 9572866 9878383 13850104 19145732 19756766 38291464 39513532 79027064 81369361 162738722 167932511 325477444 335865022 464284001 650954888 671730044 928568002 1343460088 1857136004 3714272008 7892828017 15785656034 31571312068 63142624136