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11723226450 = 23521347127913
BaseRepresentation
bin10101110101100001…
…00011110101010010
31010021000022121102020
422322300203311102
5143002121221300
65215141232310
7563340531525
oct127260436522
933230277366
1011723226450
114a76501601
122332102696
13114aa098b0
147d2d72bbc
154892ed8a0
hex2bac23d52

11723226450 has 96 divisors (see below), whose sum is σ = 31976453376. Its totient is φ = 2824296960.

The previous prime is 11723226433. The next prime is 11723226491. The reversal of 11723226450 is 5462232711.

11723226450 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 47 ways as a sum of consecutive naturals, for example, 27694 + ... + 155606.

It is an arithmetic number, because the mean of its divisors is an integer number (333088056).

Almost surely, 211723226450 is an apocalyptic number.

11723226450 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 11723226450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15988226688).

11723226450 is an abundant number, since it is smaller than the sum of its proper divisors (20253226926).

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

11723226450 is a wasteful number, since it uses less digits than its factorization.

11723226450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127988 (or 127983 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The spelling of 11723226450 in words is "eleven billion, seven hundred twenty-three million, two hundred twenty-six thousand, four hundred fifty".

Divisors: 1 2 3 5 6 10 13 15 25 26 30 39 47 50 65 75 78 94 130 141 150 195 235 282 325 390 470 611 650 705 975 1175 1222 1410 1833 1950 2350 3055 3525 3666 6110 7050 9165 15275 18330 30550 45825 91650 127913 255826 383739 639565 767478 1279130 1662869 1918695 3197825 3325738 3837390 4988607 6011911 6395650 8314345 9593475 9977214 12023822 16628690 18035733 19186950 24943035 30059555 36071466 41571725 49886070 60119110 78154843 83143450 90178665 124715175 150297775 156309686 180357330 234464529 249430350 300595550 390774215 450893325 468929058 781548430 901786650 1172322645 1953871075 2344645290 3907742150 5861613225 11723226450