Search a number
-
+
33465042944 = 211103915727
BaseRepresentation
bin11111001010101011…
…000000100000000000
310012101020101022200222
4133022223000200000
51022014022333234
623212412002212
72263203112604
oct371253004000
9105336338628
1033465042944
1113213165093
12659b460368
133204212378
141896707504
15d0ce2d42e
hex7caac0800

33465042944 has 48 divisors (see below), whose sum is σ = 66982406400. Its totient is φ = 16715354112.

The previous prime is 33465042937. The next prime is 33465042967. The reversal of 33465042944 is 44924056433.

It is a super-2 number, since 2×334650429442 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33465042895 and 33465042904.

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, 2120009 + ... + 2135735.

It is an arithmetic number, because the mean of its divisors is an integer number (1395466800).

Almost surely, 233465042944 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 33465042944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33491203200).

33465042944 is an abundant number, since it is smaller than the sum of its proper divisors (33517363456).

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

33465042944 is a wasteful number, since it uses less digits than its factorization.

33465042944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16788 (or 16768 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 44.

The spelling of 33465042944 in words is "thirty-three billion, four hundred sixty-five million, forty-two thousand, nine hundred forty-four".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 1039 2048 2078 4156 8312 15727 16624 31454 33248 62908 66496 125816 132992 251632 265984 503264 531968 1006528 1063936 2013056 2127872 4026112 8052224 16104448 16340353 32208896 32680706 65361412 130722824 261445648 522891296 1045782592 2091565184 4183130368 8366260736 16732521472 33465042944