Search a number
-
+
5364993648 = 243779359563
BaseRepresentation
bin1001111111100011…
…10100111001110000
3111211220011220201110
410333301310321300
541441414244043
62244210233320
7246643456620
oct47761647160
914756156643
105364993648
112303443153
121058885840
13676664571
1438c752880
15216002b33
hex13fc74e70

5364993648 has 160 divisors (see below), whose sum is σ = 16113254400. Its totient is φ = 1506555648.

The previous prime is 5364993629. The next prime is 5364993679. The reversal of 5364993648 is 8463994635.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9529015 + ... + 9529577.

It is an arithmetic number, because the mean of its divisors is an integer number (100707840).

Almost surely, 25364993648 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 5364993648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8056627200).

5364993648 is an abundant number, since it is smaller than the sum of its proper divisors (10748260752).

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

5364993648 is a wasteful number, since it uses less digits than its factorization.

5364993648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1019 (or 1013 counting only the distinct ones).

The product of its digits is 16796160, while the sum is 57.

The square root of 5364993648 is about 73246.1169482724. The cubic root of 5364993648 is about 1750.6113399352.

The spelling of 5364993648 in words is "five billion, three hundred sixty-four million, nine hundred ninety-three thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 79 84 112 158 168 237 316 336 359 474 553 563 632 718 948 1077 1106 1126 1264 1436 1659 1689 1896 2154 2212 2252 2513 2872 3318 3378 3792 3941 4308 4424 4504 5026 5744 6636 6756 7539 7882 8616 8848 9008 10052 11823 13272 13512 15078 15764 17232 20104 23646 26544 27024 28361 30156 31528 40208 44477 47292 56722 60312 63056 85083 88954 94584 113444 120624 133431 170166 177908 189168 198527 202117 226888 266862 311339 340332 355816 397054 404234 453776 533724 595581 606351 622678 680664 711632 794108 808468 934017 1067448 1191162 1212702 1245356 1361328 1414819 1588216 1616936 1868034 2134896 2382324 2425404 2490712 2829638 3176432 3233872 3736068 4244457 4764648 4850808 4981424 5659276 7472136 8488914 9529296 9701616 11318552 14944272 15967243 16977828 22637104 31934486 33955656 47901729 63868972 67911312 95803458 111770701 127737944 191606916 223541402 255475888 335312103 383213832 447082804 670624206 766427664 894165608 1341248412 1788331216 2682496824 5364993648