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11726442320 = 2452918112791
BaseRepresentation
bin10101110101111001…
…10100111101010000
31010021020100222202112
422322330310331100
5143003432123240
65215334204452
7563410054325
oct127274647520
933236328675
1011726442320
114a782a874a
1223331b3728
13114b594588
147d356cb4c
15489736665
hex2baf34f50

11726442320 has 80 divisors (see below), whose sum is σ = 28229800320. Its totient is φ = 4524710400.

The previous prime is 11726442313. The next prime is 11726442347. The reversal of 11726442320 is 2324462711.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 4200125 + ... + 4202915.

It is an arithmetic number, because the mean of its divisors is an integer number (352872504).

Almost surely, 211726442320 is an apocalyptic number.

11726442320 is a gapful number since it is divisible by the number (10) 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 11726442320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14114900160).

11726442320 is an abundant number, since it is smaller than the sum of its proper divisors (16503358000).

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

11726442320 is a wasteful number, since it uses less digits than its factorization.

11726442320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4644 (or 4638 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The spelling of 11726442320 in words is "eleven billion, seven hundred twenty-six million, four hundred forty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 580 1160 1811 2320 2791 3622 5582 7244 9055 11164 13955 14488 18110 22328 27910 28976 36220 44656 52519 55820 72440 80939 105038 111640 144880 161878 210076 223280 262595 323756 404695 420152 525190 647512 809390 840304 1050380 1295024 1618780 2100760 3237560 4201520 5054501 6475120 10109002 20218004 25272505 40436008 50545010 80872016 101090020 146580529 202180040 293161058 404360080 586322116 732902645 1172644232 1465805290 2345288464 2931610580 5863221160 11726442320