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10648917505 = 514956925121
BaseRepresentation
bin10011110101011100…
…11001011000000001
31000111010211001121001
421322232121120001
5133302110330010
64520403132001
7524614206502
oct117256313001
930433731531
1010648917505
114575044376
122092374001
131009282825
14730400ba9
15424d3ec3a
hex27ab99601

10648917505 has 16 divisors (see below), whose sum is σ = 12887586000. Its totient is φ = 8446750720.

The previous prime is 10648917469. The next prime is 10648917523. The reversal of 10648917505 is 50571984601.

It can be written as a sum of positive squares in 8 ways, for example, as 2408453776 + 8240463729 = 49076^2 + 90777^2 .

It is not a de Polignac number, because 10648917505 - 223 = 10640528897 is a prime.

It is a super-2 number, since 2×106489175052 (a number of 21 digits) contains 22 as substring.

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, 411345 + ... + 436465.

It is an arithmetic number, because the mean of its divisors is an integer number (805474125).

Almost surely, 210648917505 is an apocalyptic number.

It is an amenable number.

10648917505 is a deficient number, since it is larger than the sum of its proper divisors (2238668495).

10648917505 is a wasteful number, since it uses less digits than its factorization.

10648917505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25844.

The product of its (nonzero) digits is 302400, while the sum is 46.

The spelling of 10648917505 in words is "ten billion, six hundred forty-eight million, nine hundred seventeen thousand, five hundred five".

Divisors: 1 5 149 569 745 2845 25121 84781 125605 423905 3743029 14293849 18715145 71469245 2129783501 10648917505