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106020896932847 = 13172234314991339
BaseRepresentation
bin11000000110110011101001…
…111001101000001111101111
3111220101111110121010020222202
4120012303221321220033233
5102344021244103322342
61013253154435332115
731221520442513051
oct3006635171501757
9456344417106882
10106020896932847
11308662343a5566
12ba83687a5103b
13472095c941c60
141c276200858d1
15c3cca80e6332
hex606ce9e683ef

106020896932847 has 32 divisors (see below), whose sum is σ = 121716501258240. Its totient is φ = 91482840092160.

The previous prime is 106020896932771. The next prime is 106020896932849. The reversal of 106020896932847 is 748239698020601.

It is a cyclic number.

It is not a de Polignac number, because 106020896932847 - 210 = 106020896931823 is a prime.

It is a super-2 number, since 2×1060208969328472 (a number of 29 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (65) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106020896932849) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18745304 + ... + 23736642.

It is an arithmetic number, because the mean of its divisors is an integer number (3803640664320).

Almost surely, 2106020896932847 is an apocalyptic number.

106020896932847 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

106020896932847 is a deficient number, since it is larger than the sum of its proper divisors (15695604325393).

106020896932847 is a wasteful number, since it uses less digits than its factorization.

106020896932847 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4992023.

The product of its (nonzero) digits is 62705664, while the sum is 65.

The spelling of 106020896932847 in words is "one hundred six trillion, twenty billion, eight hundred ninety-six million, nine hundred thirty-two thousand, eight hundred forty-seven".

Divisors: 1 13 17 221 223 431 2899 3791 5603 7327 49283 95251 96113 1249469 1633921 4991339 21240973 64887407 84852763 1103085919 1113068597 2151267109 14469891761 18922166149 27966472417 36571540853 245988159937 475430031089 479732565307 6236523348991 8155453610219 106020896932847