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11792943104 = 21119378191
BaseRepresentation
bin10101111101110101…
…00000100000000000
31010102212111120200112
422332322200200000
5143122443134404
65230111410452
7565145235215
oct127672404000
933385446615
1011792943104
115001899778
122351523a28
13115c2a9457
147dc31db0c
154904c056e
hex2beea0800

11792943104 has 96 divisors (see below), whose sum is σ = 25495142400. Its totient is φ = 5434490880.

The previous prime is 11792943103. The next prime is 11792943121. The reversal of 11792943104 is 40134929711.

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 not an unprimeable number, because it can be changed into a prime (11792943103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1435649 + ... + 1443839.

It is an arithmetic number, because the mean of its divisors is an integer number (265574400).

Almost surely, 211792943104 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 11792943104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12747571200).

11792943104 is an abundant number, since it is smaller than the sum of its proper divisors (13702199296).

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

11792943104 is an equidigital number, since it uses as much as digits as its factorization.

11792943104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8269 (or 8249 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 41.

The spelling of 11792943104 in words is "eleven billion, seven hundred ninety-two million, nine hundred forty-three thousand, one hundred four".

Divisors: 1 2 4 8 16 19 32 37 38 64 74 76 128 148 152 256 296 304 512 592 608 703 1024 1184 1216 1406 2048 2368 2432 2812 4736 4864 5624 8191 9472 9728 11248 16382 18944 19456 22496 32764 37888 38912 44992 65528 75776 89984 131056 155629 179968 262112 303067 311258 359936 524224 606134 622516 719872 1048448 1212268 1245032 1439744 2096896 2424536 2490064 4193792 4849072 4980128 5758273 8387584 9698144 9960256 11516546 16775168 19396288 19920512 23033092 38792576 39841024 46066184 77585152 79682048 92132368 155170304 159364096 184264736 310340608 318728192 368529472 620681216 737058944 1474117888 2948235776 5896471552 11792943104