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10506141415 = 571124395651
BaseRepresentation
bin10011100100011011…
…01111111011100111
31000010012011021121201
421302031233323213
5133004033011130
64454303023331
7521231504620
oct116215577347
930105137551
1010506141415
114501496600
12205259ab47
13cb5812a33
14719476a47
1541753abca
hex27236fee7

10506141415 has 48 divisors (see below), whose sum is σ = 15876241920. Its totient is φ = 6533208000.

The previous prime is 10506141403. The next prime is 10506141469. The reversal of 10506141415 is 51414160501.

It is not a de Polignac number, because 10506141415 - 211 = 10506139367 is a prime.

It is a super-2 number, since 2×105061414152 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1856340 + ... + 1861990.

It is an arithmetic number, because the mean of its divisors is an integer number (330755040).

Almost surely, 210506141415 is an apocalyptic number.

10506141415 is a deficient number, since it is larger than the sum of its proper divisors (5370100505).

10506141415 is a wasteful number, since it uses less digits than its factorization.

10506141415 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6124 (or 6113 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 28.

The spelling of 10506141415 in words is "ten billion, five hundred six million, one hundred forty-one thousand, four hundred fifteen".

Divisors: 1 5 7 11 35 55 77 121 385 439 605 847 2195 3073 4235 4829 5651 15365 24145 28255 33803 39557 53119 62161 169015 197785 265595 310805 371833 435127 683771 1859165 2175635 2480789 3418855 4786397 12403945 17365523 23931985 27288679 86827615 136443395 191020753 300175469 955103765 1500877345 2101228283 10506141415