Search a number
-
+
1363874464 = 25372163191
BaseRepresentation
bin101000101001011…
…0001001010100000
310112001101000001001
41101102301022200
510243122440324
6343200321344
745540512251
oct12122611240
93461330031
101363874464
1163a965087
12320913254
13189740614
14cd1cab28
157eb0ae44
hex514b12a0

1363874464 has 72 divisors (see below), whose sum is σ = 2791127808. Its totient is φ = 655983360.

The previous prime is 1363874461. The next prime is 1363874483. The reversal of 1363874464 is 4644783631.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1363874461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7140609 + ... + 7140799.

It is an arithmetic number, because the mean of its divisors is an integer number (38765664).

Almost surely, 21363874464 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 1363874464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1395563904).

1363874464 is an abundant number, since it is smaller than the sum of its proper divisors (1427253344).

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

1363874464 is a wasteful number, since it uses less digits than its factorization.

1363874464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 393 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 46.

The square root of 1363874464 is about 36930.6710472474. The cubic root of 1363874464 is about 1108.9827717783.

The spelling of 1363874464 in words is "one billion, three hundred sixty-three million, eight hundred seventy-four thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 32 37 74 148 163 191 296 326 382 592 652 764 1184 1304 1369 1528 2608 2738 3056 5216 5476 6031 6112 7067 10952 12062 14134 21904 24124 28268 31133 43808 48248 56536 62266 96496 113072 124532 192992 223147 226144 249064 261479 446294 498128 522958 892588 996256 1045916 1151921 1785176 2091832 2303842 3570352 4183664 4607684 7140704 8367328 9215368 18430736 36861472 42621077 85242154 170484308 340968616 681937232 1363874464