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11269619928 = 2332735336329
BaseRepresentation
bin10100111111011100…
…01100000011011000
31002002101210000020200
422133232030003120
5141040010314203
65102135022200
7546162121530
oct123756140330
932071700220
1011269619928
114863452286
12222620a960
1310a7a49478
1478ca164c0
1545e59b9a3
hex29fb8c0d8

11269619928 has 96 divisors (see below), whose sum is σ = 34897543200. Its totient is φ = 3218471424.

The previous prime is 11269619897. The next prime is 11269619989. The reversal of 11269619928 is 82991696211.

11269619928 is a `hidden beast` number, since 1 + 12 + 6 + 9 + 619 + 9 + 2 + 8 = 666.

11269619928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 1777468 + ... + 1783796.

It is an arithmetic number, because the mean of its divisors is an integer number (363516075).

Almost surely, 211269619928 is an apocalyptic number.

11269619928 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

11269619928 is an abundant number, since it is smaller than the sum of its proper divisors (23627923272).

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

11269619928 is a wasteful number, since it uses less digits than its factorization.

11269619928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9881 (or 9874 counting only the distinct ones).

The product of its digits is 839808, while the sum is 54.

The spelling of 11269619928 in words is "eleven billion, two hundred sixty-nine million, six hundred nineteen thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 3533 6329 7066 10599 12658 14132 18987 21198 24731 25316 28264 31797 37974 42396 44303 49462 50632 56961 63594 74193 75948 84792 88606 98924 113922 127188 132909 148386 151896 177212 197848 222579 227844 254376 265818 296772 354424 398727 445158 455688 531636 593544 797454 890316 1063272 1594908 1780632 3189816 22360357 44720714 67081071 89441428 134162142 156522499 178882856 201243213 268324284 313044998 402486426 469567497 536648568 626089996 804972852 939134994 1252179992 1408702491 1609945704 1878269988 2817404982 3756539976 5634809964 11269619928