Search a number
-
+
463043540231136 = 25321984620530013
BaseRepresentation
bin110100101001000101011100…
…1101110110010001111100000
32020201111112022110112211012100
41221102022321232302033200
5441143001132244344021
64320451133223130400
7166350535405115424
oct15122127156621740
92221445273484170
10463043540231136
111245a3731a38577
1243b24b348a3a00
1316b4aa84292ac7
14824b5d96b6b84
15387ec59b14626
hex1a522b9bb23e0

463043540231136 has 72 divisors (see below), whose sum is σ = 1386084281629320. Its totient is φ = 146224275860736.

The previous prime is 463043540231023. The next prime is 463043540231141. The reversal of 463043540231136 is 631132045340364.

463043540231136 is a `hidden beast` number, since 4 + 6 + 3 + 0 + 43 + 540 + 2 + 31 + 1 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 463043540231091 and 463043540231100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42310259535 + ... + 42310270478.

It is an arithmetic number, because the mean of its divisors is an integer number (19251170578185).

Almost surely, 2463043540231136 is an apocalyptic number.

It is an amenable number.

463043540231136 is an abundant number, since it is smaller than the sum of its proper divisors (923040741398184).

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

463043540231136 is a wasteful number, since it uses less digits than its factorization.

463043540231136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84620530048 (or 84620530037 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 45.

The spelling of 463043540231136 in words is "four hundred sixty-three trillion, forty-three billion, five hundred forty million, two hundred thirty-one thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 72 76 96 114 144 152 171 228 288 304 342 456 608 684 912 1368 1824 2736 5472 84620530013 169241060026 253861590039 338482120052 507723180078 676964240104 761584770117 1015446360156 1353928480208 1523169540234 1607790070247 2030892720312 2707856960416 3046339080468 3215580140494 4061785440624 4823370210741 6092678160936 6431160280988 8123570881248 9646740421482 12185356321872 12862320561976 14470110632223 19293480842964 24370712643744 25724641123952 28940221264446 38586961685928 51449282247904 57880442528892 77173923371856 115760885057784 154347846743712 231521770115568 463043540231136