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11119050264 = 2337233777773
BaseRepresentation
bin10100101101011111…
…10011111000011000
31001200220110021111110
422112233303320120
5140232434102024
65035155500320
7542353240110
oct122657637030
931626407443
1011119050264
114796461043
1221a38b76a0
1310827ab1aa
14776a20040
15451258629
hex296bf3e18

11119050264 has 128 divisors (see below), whose sum is σ = 34046346240. Its totient is φ = 2956580352.

The previous prime is 11119050247. The next prime is 11119050269. The reversal of 11119050264 is 46205091111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11119050269) by changing a digit.

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, 104082 + ... + 181854.

It is an arithmetic number, because the mean of its divisors is an integer number (265987080).

Almost surely, 211119050264 is an apocalyptic number.

11119050264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11119050264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17023173120).

11119050264 is an abundant number, since it is smaller than the sum of its proper divisors (22927295976).

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

11119050264 is a wasteful number, since it uses less digits than its factorization.

11119050264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77849 (or 77845 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 30.

The spelling of 11119050264 in words is "eleven billion, one hundred nineteen million, fifty thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 23 24 28 37 42 46 56 69 74 84 92 111 138 148 161 168 184 222 259 276 296 322 444 483 518 552 644 777 851 888 966 1036 1288 1554 1702 1932 2072 2553 3108 3404 3864 5106 5957 6216 6808 10212 11914 17871 20424 23828 35742 47656 71484 77773 142968 155546 233319 311092 466638 544411 622184 933276 1088822 1633233 1788779 1866552 2177644 2877601 3266466 3577558 4355288 5366337 5755202 6532932 7155116 8632803 10732674 11510404 12521453 13065864 14310232 17265606 20143207 21465348 23020808 25042906 34531212 37564359 40286414 42930696 50085812 60429621 66184823 69062424 75128718 80572828 100171624 120859242 132369646 150257436 161145656 198554469 241718484 264739292 300514872 397108938 463293761 483436968 529478584 794217876 926587522 1389881283 1588435752 1853175044 2779762566 3706350088 5559525132 11119050264