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6465130046244 = 223429248712
BaseRepresentation
bin101111000010100011111…
…0001111010001100100100
3211220001122000210002010000
41132011013301322030210
51321411041242434434
621430012330101300
71235042643450012
oct136050761721444
924801560702100
106465130046244
112072934402551
12884b9ab7a830
1337b8751ba72c
14184cb1cb98b2
15b328d677b99
hex5e147c7a324

6465130046244 has 135 divisors (see below), whose sum is σ = 17507615206081. Its totient is φ = 2080304341920.

The previous prime is 6465130046183. The next prime is 6465130046251. The reversal of 6465130046244 is 4426400315646.

The square root of 6465130046244 is 2542662.

It is a perfect power (a square), and thus also a powerful number.

6465130046244 is a `hidden beast` number, since 6 + 4 + 6 + 5 + 13 + 0 + 0 + 4 + 624 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3390157372644 + 3074972673600 = 1841238^2 + 1753560^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 6465130046244.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1327267129 + ... + 1327271999.

Almost surely, 26465130046244 is an apocalyptic number.

6465130046244 is the 2542662-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6465130046244

6465130046244 is an abundant number, since it is smaller than the sum of its proper divisors (11042485159837).

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

6465130046244 is an frugal number, since it uses more digits than its factorization.

6465130046244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9816 (or 4905 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 45.

The spelling of 6465130046244 in words is "six trillion, four hundred sixty-five billion, one hundred thirty million, forty-six thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 81 87 108 116 162 174 261 324 348 522 783 841 1044 1566 1682 2349 2523 3132 3364 4698 4871 5046 7569 9396 9742 10092 14613 15138 19484 22707 29226 30276 43839 45414 58452 68121 87678 90828 131517 136242 141259 175356 263034 272484 282518 394551 423777 526068 565036 789102 847554 1271331 1578204 1695108 2542662 3813993 4096511 5085324 7627986 8193022 11441979 12289533 15255972 16386044 22883958 23726641 24579066 36868599 45767916 47453282 49158132 71179923 73737198 94906564 110605797 142359846 147474396 213539769 221211594 284719692 331817391 427079538 442423188 640619307 663634782 688072589 854159076 1281238614 1327269564 1376145178 1921857921 2064217767 2562477228 2752290356 3843715842 4128435534 6192653301 7687431684 8256871068 12385306602 18577959903 19954105081 24770613204 37155919806 39908210162 55733879709 59862315243 74311839612 79816420324 111467759418 119724630486 179586945729 222935518836 239449260972 359173891458 538760837187 718347782916 1077521674374 1616282511561 2155043348748 3232565023122 6465130046244