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11235997950 = 23522310929879
BaseRepresentation
bin10100111011011011…
…11011100011111110
31002000001111211120020
422131231323203332
5141002403413300
65054534233010
7545303256342
oct123555734376
932001454506
1011235997950
114846478621
122216ab5766
1310a0aa69c8
14788383622
1545b6598a0
hex29db7b8fe

11235997950 has 96 divisors (see below), whose sum is σ = 29344550400. Its totient is φ = 2839605120.

The previous prime is 11235997853. The next prime is 11235997951. The reversal of 11235997950 is 5979953211.

It is a junction number, because it is equal to n+sod(n) for n = 11235997893 and 11235997902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11235997951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 361111 + ... + 390989.

It is an arithmetic number, because the mean of its divisors is an integer number (305672400).

Almost surely, 211235997950 is an apocalyptic number.

11235997950 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 11235997950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14672275200).

11235997950 is an abundant number, since it is smaller than the sum of its proper divisors (18108552450).

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

11235997950 is a wasteful number, since it uses less digits than its factorization.

11235997950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30026 (or 30021 counting only the distinct ones).

The product of its (nonzero) digits is 765450, while the sum is 51.

The spelling of 11235997950 in words is "eleven billion, two hundred thirty-five million, nine hundred ninety-seven thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 10 15 23 25 30 46 50 69 75 109 115 138 150 218 230 327 345 545 575 654 690 1090 1150 1635 1725 2507 2725 3270 3450 5014 5450 7521 8175 12535 15042 16350 25070 29879 37605 59758 62675 75210 89637 125350 149395 179274 188025 298790 376050 448185 687217 746975 896370 1374434 1493950 2061651 2240925 3256811 3436085 4123302 4481850 6513622 6872170 9770433 10308255 16284055 17180425 19540866 20616510 32568110 34360850 48852165 51541275 74906653 81420275 97704330 103082550 149813306 162840550 224719959 244260825 374533265 449439918 488521650 749066530 1123599795 1872666325 2247199590 3745332650 5617998975 11235997950