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106044400321535 = 513376729822523
BaseRepresentation
bin11000000111001001100010…
…110011111100001111111111
3111220110202010120220010001002
4120013021202303330033333
5102344412412440242120
61013312042554440515
731223312045152124
oct3007114263741777
9456422116803032
10106044400321535
11308751a5456335
12ba8814713313b
134722c370a1740
141c2880d76c74b
15c3d6d16dd375
hex607262cfc3ff

106044400321535 has 48 divisors (see below), whose sum is σ = 142877884042656. Its totient is φ = 75056012266752.

The previous prime is 106044400321511. The next prime is 106044400321549. The reversal of 106044400321535 is 535123004440601.

It is not a de Polignac number, because 106044400321535 - 212 = 106044400317439 is a prime.

It is a super-2 number, since 2×1060444003215352 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

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, 5884784 + ... + 15707306.

It is an arithmetic number, because the mean of its divisors is an integer number (2976622584222).

Almost surely, 2106044400321535 is an apocalyptic number.

106044400321535 is a deficient number, since it is larger than the sum of its proper divisors (36833483721121).

106044400321535 is an equidigital number, since it uses as much as digits as its factorization.

106044400321535 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9822712 (or 9822645 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 38.

The spelling of 106044400321535 in words is "one hundred six trillion, forty-four billion, four hundred million, three hundred twenty-one thousand, five hundred thirty-five".

Divisors: 1 5 13 37 65 67 185 335 481 871 2405 2479 4355 4489 12395 22445 32227 58357 161135 166093 291785 830465 2159209 9822523 10796045 49112615 127692799 363433351 638463995 658109041 1817166755 3290545205 4724633563 8555417533 23623167815 24350034517 42777087665 44093305747 121750172585 220466528735 316550448721 573212974711 1582752243605 1631452312639 2866064873555 8157261563195 21208880064307 106044400321535