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11000050590 = 2354371831447
BaseRepresentation
bin10100011111010011…
…10111001110011110
31001101121112110122010
422033221313032132
5140012003104330
65015305132050
7536406613224
oct121751671636
931347473563
1011000050590
114735272901
12216ba8a026
131063c44699
14764cc4b14
15445a9e3b0
hex28fa7739e

11000050590 has 128 divisors (see below), whose sum is σ = 27743772672. Its totient is φ = 2788813440.

The previous prime is 11000050573. The next prime is 11000050591. The reversal of 11000050590 is 9505000011.

It is a happy number.

It is a super-2 number, since 2×110000505902 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11000050591) 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, 7601247 + ... + 7602693.

It is an arithmetic number, because the mean of its divisors is an integer number (216748224).

Almost surely, 211000050590 is an apocalyptic number.

11000050590 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11000050590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13871886336).

11000050590 is an abundant number, since it is smaller than the sum of its proper divisors (16743722082).

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

11000050590 is a wasteful number, since it uses less digits than its factorization.

11000050590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1654.

The product of its (nonzero) digits is 225, while the sum is 21.

The spelling of 11000050590 in words is "eleven billion, fifty thousand, five hundred ninety".

Divisors: 1 2 3 5 6 10 15 30 43 71 83 86 129 142 166 213 215 249 258 355 415 426 430 498 645 710 830 1065 1245 1290 1447 2130 2490 2894 3053 3569 4341 5893 6106 7138 7235 8682 9159 10707 11786 14470 15265 17679 17845 18318 21414 21705 29465 30530 35358 35690 43410 45795 53535 58930 62221 88395 91590 102737 107070 120101 124442 176790 186663 205474 240202 253399 308211 311105 360303 373326 506798 513685 600505 616422 622210 720606 760197 933315 1027370 1201010 1266995 1520394 1541055 1801515 1866630 2533990 3082110 3603030 3800985 4417691 5164343 7601970 8527171 8835382 10328686 13253073 15493029 17054342 22088455 25581513 25821715 26506146 30986058 42635855 44176910 51163026 51643430 66265365 77465145 85271710 127907565 132530730 154930290 255815130 366668353 733336706 1100005059 1833341765 2200010118 3666683530 5500025295 11000050590