Search a number
-
+
11074592768 = 2133143609
BaseRepresentation
bin10100101000001100…
…01110000000000000
31001120210210121021112
422110012032000000
5140140043432033
65030530542452
7541303325321
oct122406160000
931523717245
1011074592768
114773356508
122190a37a28
131076513795
14770b6a448
1544c3c5c48
hex29418e000

11074592768 has 56 divisors (see below), whose sum is σ = 22862804160. Its totient is φ = 5358551040.

The previous prime is 11074592689. The next prime is 11074592777. The reversal of 11074592768 is 86729547011.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 232148 + ... + 275756.

It is an arithmetic number, because the mean of its divisors is an integer number (408264360).

Almost surely, 211074592768 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 11074592768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11431402080).

11074592768 is an abundant number, since it is smaller than the sum of its proper divisors (11788211392).

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

11074592768 is an frugal number, since it uses more digits than its factorization.

11074592768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43666 (or 43642 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 50.

The spelling of 11074592768 in words is "eleven billion, seventy-four million, five hundred ninety-two thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 248 256 496 512 992 1024 1984 2048 3968 4096 7936 8192 15872 31744 43609 63488 87218 126976 174436 253952 348872 697744 1351879 1395488 2703758 2790976 5407516 5581952 10815032 11163904 21630064 22327808 43260128 44655616 86520256 89311232 173040512 178622464 346081024 357244928 692162048 1384324096 2768648192 5537296384 11074592768