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11326616304 = 2432915153887
BaseRepresentation
bin10101000110001111…
…00111001011110000
31002020101000201120120
422203013213023300
5141144103210204
65111532410240
7550453435653
oct124307471360
932211021516
1011326616304
114892641523
122241316980
1310b67b4233
1479641189a
154645a96d9
hex2a31e72f0

11326616304 has 80 divisors (see below), whose sum is σ = 30470430720. Its totient is φ = 3621139200.

The previous prime is 11326616303. The next prime is 11326616311. The reversal of 11326616304 is 40361662311.

11326616304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11326616303) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 183249 + ... + 237135.

It is an arithmetic number, because the mean of its divisors is an integer number (380880384).

Almost surely, 211326616304 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 11326616304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15235215360).

11326616304 is an abundant number, since it is smaller than the sum of its proper divisors (19143814416).

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

11326616304 is a wasteful number, since it uses less digits than its factorization.

11326616304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54078 (or 54072 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The spelling of 11326616304 in words is "eleven billion, three hundred twenty-six million, six hundred sixteen thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 116 151 174 232 302 348 453 464 604 696 906 1208 1392 1812 2416 3624 4379 7248 8758 13137 17516 26274 35032 52548 53887 70064 105096 107774 161661 210192 215548 323322 431096 646644 862192 1293288 1562723 2586576 3125446 4688169 6250892 8136937 9376338 12501784 16273874 18752676 24410811 25003568 32547748 37505352 48821622 65095496 75010704 97643244 130190992 195286488 235971173 390572976 471942346 707913519 943884692 1415827038 1887769384 2831654076 3775538768 5663308152 11326616304