Search a number
-
+
127126086010 = 2571131364453
BaseRepresentation
bin111011001100101001…
…1100010000101111010
3110011010122011021202221
41312121103202011322
54040323234223020
6134222333114254
712120205621240
oct1663123420572
9404118137687
10127126086010
1149a063a8000
122077a32898a
13bcac668401
14621d924790
1534908c86aa
hex1d994e217a

127126086010 has 64 divisors (see below), whose sum is σ = 287648734464. Its totient is φ = 39623686080.

The previous prime is 127126085993. The next prime is 127126086149. The reversal of 127126086010 is 10680621721.

It is a super-2 number, since 2×1271260860102 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 589057 + ... + 775396.

It is an arithmetic number, because the mean of its divisors is an integer number (4494511476).

Almost surely, 2127126086010 is an apocalyptic number.

127126086010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

127126086010 is an abundant number, since it is smaller than the sum of its proper divisors (160522648454).

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

127126086010 is a wasteful number, since it uses less digits than its factorization.

127126086010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1364500 (or 1364478 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 34.

The spelling of 127126086010 in words is "one hundred twenty-seven billion, one hundred twenty-six million, eighty-six thousand, ten".

Divisors: 1 2 5 7 10 11 14 22 35 55 70 77 110 121 154 242 385 605 770 847 1210 1331 1694 2662 4235 6655 8470 9317 13310 18634 46585 93170 1364453 2728906 6822265 9551171 13644530 15008983 19102342 30017966 47755855 75044915 95511710 105062881 150089830 165098813 210125762 330197626 525314405 825494065 1050628810 1155691691 1650988130 1816086943 2311383382 3632173886 5778458455 9080434715 11556916910 12712608601 18160869430 25425217202 63563043005 127126086010