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10520577417 = 37975164741
BaseRepresentation
bin10011100110001001…
…10100010110001001
31000011012022201002110
421303010310112021
5133021231434132
64455540252533
7521465301240
oct116304642611
930135281073
1010520577417
114509656589
1220573a1149
13cb87c874c
1471b353957
1541893d1cc
hex273134589

10520577417 has 16 divisors (see below), whose sum is σ = 16196630912. Its totient is φ = 5949780480.

The previous prime is 10520577383. The next prime is 10520577439. The reversal of 10520577417 is 71477502501.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-10520577417 is a prime.

It is a super-3 number, since 3×105205774173 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (10520577467) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2580334 + ... + 2584407.

It is an arithmetic number, because the mean of its divisors is an integer number (1012289432).

Almost surely, 210520577417 is an apocalyptic number.

It is an amenable number.

10520577417 is a deficient number, since it is larger than the sum of its proper divisors (5676053495).

10520577417 is an equidigital number, since it uses as much as digits as its factorization.

10520577417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5164848.

The product of its (nonzero) digits is 68600, while the sum is 39.

The spelling of 10520577417 in words is "ten billion, five hundred twenty million, five hundred seventy-seven thousand, four hundred seventeen".

Divisors: 1 3 7 21 97 291 679 2037 5164741 15494223 36153187 108459561 500979877 1502939631 3506859139 10520577417