Search a number
-
+
500053344264 = 233316343332801
BaseRepresentation
bin1110100011011011000…
…00001000000000001000
31202210201120120212211000
413101231200020000020
531143102124004024
61021415450335000
751061534203105
oct7215540100010
91683646525730
10500053344264
11183087092871
1280ab6a2a460
1338202207426
141a2ba34baac
15d01a66dcc9
hex746d808008

500053344264 has 128 divisors (see below), whose sum is σ = 1400829091200. Its totient is φ = 165274214400.

The previous prime is 500053344247. The next prime is 500053344269. The reversal of 500053344264 is 462443350005.

500053344264 is a `hidden beast` number, since 5 + 0 + 0 + 0 + 53 + 344 + 264 = 666.

It is a super-2 number, since 2×5000533442642 (a number of 24 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (500053344269) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15228664 + ... + 15261464.

It is an arithmetic number, because the mean of its divisors is an integer number (10943977275).

Almost surely, 2500053344264 is an apocalyptic number.

500053344264 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 500053344264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700414545600).

500053344264 is an abundant number, since it is smaller than the sum of its proper divisors (900775746936).

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

500053344264 is a wasteful number, since it uses less digits than its factorization.

500053344264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33412 (or 33402 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

Adding to 500053344264 its reverse (462443350005), we get a palindrome (962496694269).

The spelling of 500053344264 in words is "five hundred billion, fifty-three million, three hundred forty-four thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 163 216 326 433 489 652 866 978 1299 1304 1467 1732 1956 2598 2934 3464 3897 3912 4401 5196 5868 7794 8802 10392 11691 11736 15588 17604 23382 31176 32801 35208 46764 65602 70579 93528 98403 131204 141158 196806 211737 262408 282316 295209 393612 423474 564632 590418 635211 787224 846948 885627 1180836 1270422 1693896 1771254 1905633 2361672 2540844 3542508 3811266 5081688 5346563 7085016 7622532 10693126 14202833 15245064 16039689 21386252 28405666 32079378 42608499 42772504 48119067 56811332 64158756 85216998 96238134 113622664 127825497 128317512 144357201 170433996 192476268 255650994 288714402 340867992 383476491 384952536 511301988 577428804 766952982 1022603976 1154857608 1533905964 2315061779 3067811928 4630123558 6945185337 9260247116 13890370674 18520494232 20835556011 27780741348 41671112022 55561482696 62506668033 83342224044 125013336066 166684448088 250026672132 500053344264