Search a number
-
+
5936226464 = 257172107857
BaseRepresentation
bin1011000011101001…
…11010000010100000
3120022201001112211102
411201310322002200
544124133221324
62421013533532
7300051043460
oct54164720240
916281045742
105936226464
112576932893
1211980442a8
13737aca34c
1440456bba0
1524b23bdae
hex161d3a0a0

5936226464 has 144 divisors (see below), whose sum is σ = 14337715392. Its totient is φ = 2369298432.

The previous prime is 5936226463. The next prime is 5936226473. The reversal of 5936226464 is 4646226395.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (5936226463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6926324 + ... + 6927180.

It is an arithmetic number, because the mean of its divisors is an integer number (99567468).

Almost surely, 25936226464 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 5936226464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7168857696).

5936226464 is an abundant number, since it is smaller than the sum of its proper divisors (8401488928).

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

5936226464 is a wasteful number, since it uses less digits than its factorization.

5936226464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1015 (or 990 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 47.

The square root of 5936226464 is about 77046.9108011476. The cubic root of 5936226464 is about 1810.6596360523.

The spelling of 5936226464 in words is "five billion, nine hundred thirty-six million, two hundred twenty-six thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 68 107 112 119 136 214 224 238 272 289 428 476 544 578 749 856 857 952 1156 1498 1712 1714 1819 1904 2023 2312 2996 3424 3428 3638 3808 4046 4624 5992 5999 6856 7276 8092 9248 11984 11998 12733 13712 14552 14569 16184 23968 23996 25466 27424 29104 29138 30923 32368 47992 50932 58208 58276 61846 64736 91699 95984 101864 101983 116552 123692 183398 191968 203728 203966 216461 233104 247384 247673 366796 407456 407932 432922 466208 494768 495346 641893 733592 815864 865844 989536 990692 1283786 1467184 1558883 1631728 1731688 1733711 1981384 2567572 2934368 3117766 3263456 3463376 3467422 3962768 5135144 6235532 6926752 6934844 7925536 10270288 10912181 12471064 13869688 20540576 21824362 24942128 26501011 27739376 43648724 49884256 53002022 55478752 87297448 106004044 174594896 185507077 212008088 349189792 371014154 424016176 742028308 848032352 1484056616 2968113232 5936226464