Search a number
-
+
463142457226755 = 325172296913825953
BaseRepresentation
bin110100101001110011100000…
…1101001001011011000000011
32020201211222122011022211201200
41221103213001221023120003
5441201111223022224010
64321004412501432243
7166360636561524645
oct15123470151133003
92221758564284650
10463142457226755
11124631682007429
1243b4013ba0b683
1316b571b95c2647
148252300980895
1538825e8c23cc0
hex1a539c1a4b603

463142457226755 has 96 divisors (see below), whose sum is σ = 854950129450560. Its totient is φ = 231129127157760.

The previous prime is 463142457226711. The next prime is 463142457226763. The reversal of 463142457226755 is 557622754241364.

463142457226755 is a `hidden beast` number, since 4 + 6 + 3 + 1 + 4 + 2 + 4 + 572 + 2 + 6 + 7 + 55 = 666.

It is not a de Polignac number, because 463142457226755 - 218 = 463142456964611 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 463142457226692 and 463142457226701.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 119139859 + ... + 122965811.

It is an arithmetic number, because the mean of its divisors is an integer number (8905730515110).

Almost surely, 2463142457226755 is an apocalyptic number.

463142457226755 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

463142457226755 is a deficient number, since it is larger than the sum of its proper divisors (391807672223805).

463142457226755 is a wasteful number, since it uses less digits than its factorization.

463142457226755 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3826901 (or 3826898 counting only the distinct ones).

The product of its digits is 338688000, while the sum is 63.

The spelling of 463142457226755 in words is "four hundred sixty-three trillion, one hundred forty-two billion, four hundred fifty-seven million, two hundred twenty-six thousand, seven hundred fifty-five".

Divisors: 1 3 5 9 15 17 45 51 85 153 229 255 687 691 765 1145 2061 2073 3435 3455 3893 6219 10305 10365 11679 11747 19465 31095 35037 35241 58395 58735 105723 158239 175185 176205 474717 528615 791195 1424151 2373585 2690063 3825953 7120755 8070189 11477859 13450315 19129765 24210567 34433577 40350945 57389295 65041201 121052835 172167885 195123603 325206005 585370809 876143237 975618015 2628429711 2643733523 2926854045 4380716185 7885289133 7931200569 13142148555 13218667615 14894435029 23793601707 39426445665 39656002845 44683305087 44943469891 74472175145 118968008535 134049915261 134830409673 223416525435 224717349455 404491229019 605414976767 670249576305 674152048365 1816244930301 2022456145095 3027074883835 5448734790903 9081224651505 10292054605039 27243673954515 30876163815117 51460273025195 92628491445351 154380819075585 463142457226755