Search a number
-
+
5451822144 = 26329797577
BaseRepresentation
bin1010001001111010…
…00011010001000000
3112001221120021000200
411010331003101000
542131131302034
62300551245200
7252046503126
oct50475032100
915057507020
105451822144
11234845873a
121081979800
1368b645a82
1439a0b5916
1521d954a99
hex144f43440

5451822144 has 84 divisors (see below), whose sum is σ = 15787925244. Its totient is φ = 1798520832.

The previous prime is 5451822097. The next prime is 5451822151. The reversal of 5451822144 is 4412281545.

It can be written as a sum of positive squares in 2 ways, for example, as 1452524544 + 3999297600 = 38112^2 + 63240^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5451822099 and 5451822108.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7084 + ... + 104660.

It is an arithmetic number, because the mean of its divisors is an integer number (187951491).

Almost surely, 25451822144 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 5451822144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7893962622).

5451822144 is an abundant number, since it is smaller than the sum of its proper divisors (10336103100).

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

5451822144 is a wasteful number, since it uses less digits than its factorization.

5451822144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97692 (or 97679 counting only the distinct ones).

The product of its digits is 51200, while the sum is 36.

The square root of 5451822144 is about 73836.4553862115. The cubic root of 5451822144 is about 1760.0049655507.

The spelling of 5451822144 in words is "five billion, four hundred fifty-one million, eight hundred twenty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 97 144 192 194 288 291 388 576 582 776 873 1164 1552 1746 2328 3104 3492 4656 6208 6984 9312 13968 18624 27936 55872 97577 195154 292731 390308 585462 780616 878193 1170924 1561232 1756386 2341848 3122464 3512772 4683696 6244928 7025544 9367392 9464969 14051088 18734784 18929938 28102176 28394907 37859876 56204352 56789814 75719752 85184721 113579628 151439504 170369442 227159256 302879008 340738884 454318512 605758016 681477768 908637024 1362955536 1817274048 2725911072 5451822144