Search a number
-
+
5405122816 = 2823390617
BaseRepresentation
bin1010000100010101…
…11010000100000000
3111221200200200120221
411002022322010000
542032202412231
62252202312424
7250641533362
oct50212720400
914850620527
105405122816
112324061855
12106a1b8714
13681a74b32
14393bdad32
152197ccd11
hex1422ba100

5405122816 has 36 divisors (see below), whose sum is σ = 10835556732. Its totient is φ = 2690932736.

The previous prime is 5405122799. The next prime is 5405122829. The reversal of 5405122816 is 6182215045.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 3855913216 + 1549209600 = 62096^2 + 39360^2 .

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, 14340 + ... + 104956.

It is an arithmetic number, because the mean of its divisors is an integer number (300987687).

Almost surely, 25405122816 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 5405122816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5417778366).

5405122816 is an abundant number, since it is smaller than the sum of its proper divisors (5430433916).

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

5405122816 is an equidigital number, since it uses as much as digits as its factorization.

5405122816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90866 (or 90852 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 34.

The square root of 5405122816 is about 73519.5403685306. The cubic root of 5405122816 is about 1754.9652529491.

It can be divided in two parts, 54051 and 22816, that added together give a palindrome (76867).

The spelling of 5405122816 in words is "five billion, four hundred five million, one hundred twenty-two thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 32 64 128 233 256 466 932 1864 3728 7456 14912 29824 59648 90617 181234 362468 724936 1449872 2899744 5799488 11598976 21113761 23197952 42227522 84455044 168910088 337820176 675640352 1351280704 2702561408 5405122816