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106587127050 = 23521295954833
BaseRepresentation
bin110001101000100010…
…1100111110100001010
3101012010020111001211020
41203101011213310022
53221242301031200
6120544312013310
710462220426355
oct1432105476412
9335106431736
10106587127050
1141226722158
12187a7991236
13a088417961
145231c2529c
152b8c69aea0
hex18d1167d0a

106587127050 has 48 divisors (see below), whose sum is σ = 264361294080. Its totient is φ = 28420522240.

The previous prime is 106587127039. The next prime is 106587127069. The reversal of 106587127050 is 50721785601.

It is a super-2 number, since 2×1065871270502 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106587126993 and 106587127011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1916434 + ... + 1971266.

It is an arithmetic number, because the mean of its divisors is an integer number (5507526960).

Almost surely, 2106587127050 is an apocalyptic number.

106587127050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106587127050 is an abundant number, since it is smaller than the sum of its proper divisors (157774167030).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106587127050 is a wasteful number, since it uses less digits than its factorization.

106587127050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67807 (or 67802 counting only the distinct ones).

The product of its (nonzero) digits is 117600, while the sum is 42.

The spelling of 106587127050 in words is "one hundred six billion, five hundred eighty-seven million, one hundred twenty-seven thousand, fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 150 12959 25918 38877 54833 64795 77754 109666 129590 164499 194385 274165 323975 328998 388770 548330 647950 822495 971925 1370825 1644990 1943850 2741650 4112475 8224950 710580847 1421161694 2131742541 3552904235 4263485082 7105808470 10658712705 17764521175 21317425410 35529042350 53293563525 106587127050