Search a number
-
+
5088074216976 = 24321879732
BaseRepresentation
bin100101000001010100011…
…0110110011011000010000
3200000102012122021220212100
41022002220312303120100
51131330333444420401
614453232400400400
71033413136153002
oct112025066633020
920012178256770
105088074216976
111691927282333
126a2129916100
132aba59c2625a
1413839a9c8372
158c54499ab86
hex4a0a8db3610

5088074216976 has 45 divisors (see below), whose sum is σ = 14239616791309. Its totient is φ = 1696015716288.

The previous prime is 5088074216893. The next prime is 5088074217047. The reversal of 5088074216976 is 6796124708805.

The square root of 5088074216976 is 2255676.

It is a perfect power (a square), and thus also a powerful number.

5088074216976 is a `hidden beast` number, since 5 + 0 + 8 + 80 + 7 + 421 + 69 + 76 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5035805283600 + 52268933376 = 2244060^2 + 228624^2 .

It is a Duffinian number.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 26974126 + ... + 27162098.

Almost surely, 25088074216976 is an apocalyptic number.

5088074216976 is the 2255676-th square number.

It is an amenable number.

5088074216976 is an abundant number, since it is smaller than the sum of its proper divisors (9151542574333).

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

5088074216976 is an frugal number, since it uses more digits than its factorization.

5088074216976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375960 (or 187978 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 5088074216976 in words is "five trillion, eighty-eight billion, seventy-four million, two hundred sixteen thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 187973 375946 563919 751892 1127838 1503784 1691757 2255676 3007568 3383514 4511352 6767028 9022704 13534056 27068112 35333848729 70667697458 106001546187 141335394916 212003092374 282670789832 318004638561 424006184748 565341579664 636009277122 848012369496 1272018554244 1696024738992 2544037108488 5088074216976