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106041417335715 = 35471271861636409
BaseRepresentation
bin11000000111000110110001…
…000000110000001110100011
3111220110110102200212201202210
4120013012301000300032203
5102344340310314220330
61013310430555013203
731223145114201351
oct3007066100601643
9456413380781683
10106041417335715
1130873a046569a4
12ba8765413a203
134722880096584
141c286095147d1
15c3d5a98aa8b0
hex6071b10303a3

106041417335715 has 64 divisors (see below), whose sum is σ = 174734684651520. Its totient is φ = 54886677027840.

The previous prime is 106041417335713. The next prime is 106041417335753. The reversal of 106041417335715 is 517533714140601.

It is not a de Polignac number, because 106041417335715 - 21 = 106041417335713 is a prime.

It is a super-2 number, since 2×1060414173357152 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106041417335713) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 166306431 + ... + 166942839.

It is an arithmetic number, because the mean of its divisors is an integer number (2730229447680).

Almost surely, 2106041417335715 is an apocalyptic number.

106041417335715 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

106041417335715 is a deficient number, since it is larger than the sum of its proper divisors (68693267315805).

106041417335715 is a wasteful number, since it uses less digits than its factorization.

106041417335715 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 638452.

The product of its (nonzero) digits is 1058400, while the sum is 48.

The spelling of 106041417335715 in words is "one hundred six trillion, forty-one billion, four hundred seventeen million, three hundred thirty-five thousand, seven hundred fifteen".

Divisors: 1 3 5 15 47 127 141 235 381 635 705 1861 1905 5583 5969 9305 17907 27915 29845 87467 89535 236347 262401 437335 636409 709041 1181735 1312005 1909227 3182045 3545205 9546135 11108309 29911223 33324927 55541545 80823943 89733669 149556115 166624635 242471829 404119715 448668345 1184357149 1212359145 3553071447 3798725321 5921785745 11396175963 17765357235 18993626605 55664786003 56980879815 150413357923 166994358009 278323930015 451240073769 752066789615 834971790045 2256200368845 7069427822381 21208283467143 35347139111905 106041417335715