Search a number
-
+
5994515656900 = 22522448372
BaseRepresentation
bin101011100111011010011…
…1110011111000011000100
3210020001220002210001111201
41113032310332133003010
51241203232002010100
620425501550312244
71156042454236531
oct127166476370304
923201802701451
105994515656900
111a012948a22a1
1280993b1b8684
1334638506b774
1416a1c968dd88
15a5de775c36a
hex573b4f9f0c4

5994515656900 has 27 divisors (see below), whose sum is σ = 13008152105319. Its totient is φ = 2397796469280.

The previous prime is 5994515656879. The next prime is 5994515656903. The reversal of 5994515656900 is 96565154995.

The square root of 5994515656900 is 2448370.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1457751975876 + 4536763681024 = 1207374^2 + 2129968^2 .

It is a super-2 number, since 2×59945156569002 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5994515656903) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 24361282 + ... + 24606118.

Almost surely, 25994515656900 is an apocalyptic number.

5994515656900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5994515656900 is the 2448370-th square number.

It is an amenable number.

5994515656900 is an abundant number, since it is smaller than the sum of its proper divisors (7013636448419).

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

5994515656900 is an frugal number, since it uses more digits than its factorization.

5994515656900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489688 (or 244844 counting only the distinct ones).

The product of its (nonzero) digits is 65610000, while the sum is 64.

Multiplying 5994515656900 by its sum of digits (64), we get a square (383649002041600 = 195869602).

The spelling of 5994515656900 in words is "five trillion, nine hundred ninety-four billion, five hundred fifteen million, six hundred fifty-six thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 244837 489674 979348 1224185 2448370 4896740 6120925 12241850 24483700 59945156569 119890313138 239780626276 299725782845 599451565690 1198903131380 1498628914225 2997257828450 5994515656900