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10605610005 = 3513125721001
BaseRepresentation
bin10011110000010010…
…01100010000010101
31000101010022210212120
421320021030100111
5133210014010010
64512215010153
7523550124534
oct117011142025
930333283776
1010605610005
114552654851
12207b969959
1310002cb6a3
1472876a31b
15421137e70
hex27824c415

10605610005 has 32 divisors (see below), whose sum is σ = 17165858688. Its totient is φ = 5591040000.

The previous prime is 10605610003. The next prime is 10605610009. The reversal of 10605610005 is 50001650601.

It is not a de Polignac number, because 10605610005 - 21 = 10605610003 is a prime.

It is a super-2 number, since 2×106056100052 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10605610003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 494505 + ... + 515505.

It is an arithmetic number, because the mean of its divisors is an integer number (536433084).

Almost surely, 210605610005 is an apocalyptic number.

10605610005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10605610005 is a deficient number, since it is larger than the sum of its proper divisors (6560248683).

10605610005 is a wasteful number, since it uses less digits than its factorization.

10605610005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21397.

The product of its (nonzero) digits is 900, while the sum is 24.

The spelling of 10605610005 in words is "ten billion, six hundred five million, six hundred ten thousand, five".

Divisors: 1 3 5 15 131 257 393 655 771 1285 1965 3855 21001 33667 63003 101001 105005 168335 315015 505005 2751131 5397257 8253393 13755655 16191771 26986285 41266965 80958855 707040667 2121122001 3535203335 10605610005