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464227791048 = 233272114712
BaseRepresentation
bin1101100000101100010…
…00011111000011001000
31122101020211111012202200
412300112020133003020
530101214303303143
6553132512400200
745352666055100
oct6602610370310
91571224435680
10464227791048
1116997253844a
1275b78b46060
1334a12c54928
141867c344200
15c1203ba1d3
hex6c1621f0c8

464227791048 has 108 divisors (see below), whose sum is σ = 1462681903995. Its totient is φ = 132624948960.

The previous prime is 464227791029. The next prime is 464227791101. The reversal of 464227791048 is 840197722464.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

464227791048 is a `hidden beast` number, since 46 + 422 + 7 + 79 + 104 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 232113895524 + 232113895524 = 481782^2 + 481782^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=481782.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 464227790985 and 464227791003.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 40463953 + ... + 40475423.

Almost surely, 2464227791048 is an apocalyptic number.

It is an amenable number.

464227791048 is an abundant number, since it is smaller than the sum of its proper divisors (998454112947).

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

464227791048 is an equidigital number, since it uses as much as digits as its factorization.

464227791048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22968 (or 11483 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 464227791048 in words is "four hundred sixty-four billion, two hundred twenty-seven million, seven hundred ninety-one thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 392 441 504 588 882 1176 1764 3528 11471 22942 34413 45884 68826 80297 91768 103239 137652 160594 206478 240891 275304 321188 412956 481782 562079 642376 722673 825912 963564 1124158 1445346 1686237 1927128 2248316 2890692 3372474 4496632 5058711 5781384 6744948 10117422 13489896 20234844 40469688 131583841 263167682 394751523 526335364 789503046 921086887 1052670728 1184254569 1579006092 1842173774 2368509138 2763260661 3158012184 3684347548 4737018276 5526521322 6447608209 7368695096 8289781983 9474036552 11053042644 12895216418 16579563966 19342824627 22106085288 25790432836 33159127932 38685649254 51580865672 58028473881 66318255864 77371298508 116056947762 154742597016 232113895524 464227791048