Search a number
-
+
500455052520 = 2335101379108949
BaseRepresentation
bin1110100100001010111…
…00100001010011101000
31202211202120110202221120
413102011130201103220
531144412443140040
61021523400335240
751104512521153
oct7220534412350
91684676422846
10500455052520
11183272915165
1280ba9474520
13382674c6417
141a317838c9a
15d040a6d7d0
hex74857214e8

500455052520 has 128 divisors (see below), whose sum is σ = 1520244720000. Its totient is φ = 131783500800.

The previous prime is 500455052519. The next prime is 500455052569. The reversal of 500455052520 is 25250554005.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4539006 + ... + 4647954.

It is an arithmetic number, because the mean of its divisors is an integer number (11876911875).

Almost surely, 2500455052520 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 500455052520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (760122360000).

500455052520 is an abundant number, since it is smaller than the sum of its proper divisors (1019789667480).

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

500455052520 is a wasteful number, since it uses less digits than its factorization.

500455052520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109443 (or 109439 counting only the distinct ones).

The product of its (nonzero) digits is 50000, while the sum is 33.

The spelling of 500455052520 in words is "five hundred billion, four hundred fifty-five million, fifty-two thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 101 120 202 303 379 404 505 606 758 808 1010 1137 1212 1515 1516 1895 2020 2274 2424 3030 3032 3790 4040 4548 5685 6060 7580 9096 11370 12120 15160 22740 38279 45480 76558 108949 114837 153116 191395 217898 229674 306232 326847 382790 435796 459348 544745 574185 653694 765580 871592 918696 1089490 1148370 1307388 1531160 1634235 2178980 2296740 2614776 3268470 4357960 4593480 6536940 11003849 13073880 22007698 33011547 41291671 44015396 55019245 66023094 82583342 88030792 110038490 123875013 132046188 165057735 165166684 206458355 220076980 247750026 264092376 330115470 330333368 412916710 440153960 495500052 619375065 660230940 825833420 991000104 1238750130 1320461880 1651666840 2477500260 4170458771 4955000520 8340917542 12511376313 16681835084 20852293855 25022752626 33363670168 41704587710 50045505252 62556881565 83409175420 100091010504 125113763130 166818350840 250227526260 500455052520