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10517344845 = 357437013323
BaseRepresentation
bin10011100101110000…
…11111001001001101
31000010222020110211120
421302320133021031
5133014420013340
64455343111153
7521425645650
oct116270371115
930128213746
1010517344845
114507848937
1220562a24b9
13cb7c36297
1471ab51897
154185004d0
hex272e1f24d

10517344845 has 64 divisors (see below), whose sum is σ = 19712968704. Its totient is φ = 4688006400.

The previous prime is 10517344801. The next prime is 10517344879. The reversal of 10517344845 is 54844371501.

It is not a de Polignac number, because 10517344845 - 28 = 10517344589 is a prime.

It is a super-2 number, since 2×105173448452 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10517344797 and 10517344806.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3163354 + ... + 3166676.

It is an arithmetic number, because the mean of its divisors is an integer number (308015136).

Almost surely, 210517344845 is an apocalyptic number.

10517344845 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10517344845 is a deficient number, since it is larger than the sum of its proper divisors (9195623859).

10517344845 is a wasteful number, since it uses less digits than its factorization.

10517344845 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4082.

The product of its (nonzero) digits is 268800, while the sum is 42.

The spelling of 10517344845 in words is "ten billion, five hundred seventeen million, three hundred forty-four thousand, eight hundred forty-five".

Divisors: 1 3 5 7 15 21 35 43 105 129 215 301 645 701 903 1505 2103 3323 3505 4515 4907 9969 10515 14721 16615 23261 24535 30143 49845 69783 73605 90429 116305 142889 150715 211001 348915 428667 452145 633003 714445 1000223 1055005 2143335 2329423 3000669 3165015 5001115 6988269 11647115 15003345 16305961 34941345 48917883 81529805 100165189 244589415 300495567 500825945 701156323 1502477835 2103468969 3505781615 10517344845