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11134468904 = 23133723912107
BaseRepresentation
bin10100101111010101…
…01000001100101000
31001201222110121220012
422113222220030220
5140300411001104
65040510151052
7542631265316
oct122752501450
931658417805
1011134468904
1147a4132319
1221a8ab2488
131085a49250
14778ab50b6
154527a1d6e
hex297aa8328

11134468904 has 64 divisors (see below), whose sum is σ = 23189241600. Its totient is φ = 4978761984.

The previous prime is 11134468859. The next prime is 11134468931. The reversal of 11134468904 is 40986443111.

It is a super-2 number, since 2×111344689042 (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 913619 + ... + 925725.

It is an arithmetic number, because the mean of its divisors is an integer number (362331900).

Almost surely, 211134468904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11134468904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11594620800).

11134468904 is an abundant number, since it is smaller than the sum of its proper divisors (12054772696).

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

11134468904 is a wasteful number, since it uses less digits than its factorization.

11134468904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12402 (or 12398 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 41.

The spelling of 11134468904 in words is "eleven billion, one hundred thirty-four million, four hundred sixty-eight thousand, nine hundred four".

Divisors: 1 2 4 8 13 26 37 52 74 104 148 239 296 478 481 956 962 1912 1924 3107 3848 6214 8843 12107 12428 17686 24214 24856 35372 48428 70744 96856 114959 157391 229918 314782 447959 459836 629564 895918 919672 1259128 1791836 2893573 3583672 5787146 5823467 11574292 11646934 23148584 23293868 37616449 46587736 75232898 107062201 150465796 214124402 300931592 428248804 856497608 1391808613 2783617226 5567234452 11134468904