Search a number
-
+
678996495825 = 3521923180111503
BaseRepresentation
bin10011110000101110101…
…10000100110111010001
32101220121102200211112220
421320113112010313101
542111041100331300
61235532055211253
7100025110662324
oct11702726046721
92356542624486
10678996495825
11241a6290308a
12ab716676b29
134c04bbc916b
1424c13a3c7bb
15129e01b6da0
hex9e17584dd1

678996495825 has 96 divisors (see below), whose sum is σ = 1233861980160. Its totient is φ = 327945024000.

The previous prime is 678996495809. The next prime is 678996495829. The reversal of 678996495825 is 528594699876.

678996495825 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 678996495825 - 24 = 678996495809 is a prime.

It is a super-2 number, since 2×6789964958252 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (678996495829) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 59022024 + ... + 59033526.

It is an arithmetic number, because the mean of its divisors is an integer number (12852728960).

Almost surely, 2678996495825 is an apocalyptic number.

It is an amenable number.

678996495825 is a deficient number, since it is larger than the sum of its proper divisors (554865484335).

678996495825 is a wasteful number, since it uses less digits than its factorization.

678996495825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13359 (or 13354 counting only the distinct ones).

The product of its digits is 2351462400, while the sum is 78.

The spelling of 678996495825 in words is "six hundred seventy-eight billion, nine hundred ninety-six million, four hundred ninety-five thousand, eight hundred twenty-five".

Divisors: 1 3 5 15 19 23 25 57 69 75 95 115 285 345 437 475 575 1311 1425 1725 1801 2185 5403 6555 9005 10925 11503 27015 32775 34219 34509 41423 45025 57515 102657 124269 135075 171095 172545 207115 218557 264569 287575 513285 621345 655671 787037 793707 855475 862725 1035575 1092785 1322845 2361111 2566425 3106725 3278355 3935185 3968535 5026811 5463925 6614225 11805555 15080433 16391775 19675925 19842675 20716903 25134055 59027775 62150709 75402165 103584515 125670275 310753545 377010825 393621157 476488769 517922575 1180863471 1429466307 1553767725 1968105785 2382443845 5904317355 7147331535 9053286611 9840528925 11912219225 27159859833 29521586775 35736657675 45266433055 135799299165 226332165275 678996495825