Search a number
-
+
11104066064 = 2471326928351
BaseRepresentation
bin10100101011101101…
…01001101000010000
31001122212021000001002
422111312221220100
5140220120103224
65033502401132
7542112001310
oct122566515020
931585230032
1011104066064
114788a57203
12219a8901a8
13107c662ac0
14774a3d440
1544ec989ae
hex295da9a10

11104066064 has 80 divisors (see below), whose sum is σ = 26578298880. Its totient is φ = 4376332800.

The previous prime is 11104066033. The next prime is 11104066081. The reversal of 11104066064 is 46066040111.

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, 377489 + ... + 405839.

It is an arithmetic number, because the mean of its divisors is an integer number (332228736).

Almost surely, 211104066064 is an apocalyptic number.

11104066064 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 11104066064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13289149440).

11104066064 is an abundant number, since it is smaller than the sum of its proper divisors (15474232816).

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

11104066064 is a wasteful number, since it uses less digits than its factorization.

11104066064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28648 (or 28642 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The spelling of 11104066064 in words is "eleven billion, one hundred four million, sixty-six thousand, sixty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 104 112 182 208 269 364 538 728 1076 1456 1883 2152 3497 3766 4304 6994 7532 13988 15064 24479 27976 28351 30128 48958 55952 56702 97916 113404 195832 198457 226808 368563 391664 396914 453616 737126 793828 1474252 1587656 2579941 2948504 3175312 5159882 5897008 7626419 10319764 15252838 20639528 30505676 41279056 53384933 61011352 99143447 106769866 122022704 198286894 213539732 396573788 427079464 694004129 793147576 854158928 1388008258 1586295152 2776016516 5552033032 11104066064