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5418778144 = 251324721319
BaseRepresentation
bin1010000101111101…
…11111111000100000
3111222122101110011211
411002332333320200
542044201400034
62253411115504
7251165566003
oct50276777040
914878343154
105418778144
11233083924a
1210728a2b94
13684846400
1439595353a
1521aac8d64
hex142fbfe20

5418778144 has 72 divisors (see below), whose sum is σ = 11798317440. Its totient is φ = 2447647488.

The previous prime is 5418778129. The next prime is 5418778177. The reversal of 5418778144 is 4418778145.

It is a happy number.

It is a congruent number.

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, 243517 + ... + 264835.

It is an arithmetic number, because the mean of its divisors is an integer number (163865520).

Almost surely, 25418778144 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 5418778144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5899158720).

5418778144 is an abundant number, since it is smaller than the sum of its proper divisors (6379539296).

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

5418778144 is a wasteful number, since it uses less digits than its factorization.

5418778144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21402 (or 21381 counting only the distinct ones).

The product of its digits is 1003520, while the sum is 49.

The square root of 5418778144 is about 73612.3504854994. The cubic root of 5418778144 is about 1756.4419059995.

Subtracting from 5418778144 its reverse (4418778145), we obtain a palindrome (999999999).

The spelling of 5418778144 in words is "five billion, four hundred eighteen million, seven hundred seventy-eight thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 47 52 94 104 169 188 208 338 376 416 611 676 752 1222 1352 1504 2444 2704 4888 5408 7943 9776 15886 19552 21319 31772 42638 63544 85276 127088 170552 254176 277147 341104 554294 682208 1001993 1108588 2003986 2217176 3602911 4007972 4434352 7205822 8015944 8868704 13025909 14411644 16031888 26051818 28823288 32063776 52103636 57646576 104207272 115293152 169336817 208414544 338673634 416829088 677347268 1354694536 2709389072 5418778144