Search a number
-
+
463655355401360 = 2455795691942517
BaseRepresentation
bin110100101101100010010110…
…0110000011100010010010000
32020210200000111220201201020202
41221123010230300130102100
5441233012131440320420
64322040155121354332
7166442664636215033
oct15133045460342220
92223600456651222
10463655355401360
1112480a14a721361
12440036204989a8
1316b936879ac7a5
14826d078bc501a
153890b16d93575
hex1a5b12cc1c490

463655355401360 has 20 divisors (see below), whose sum is σ = 1077998701308348. Its totient is φ = 185462142160512.

The previous prime is 463655355401347. The next prime is 463655355401423. The reversal of 463655355401360 is 63104553556364.

It can be written as a sum of positive squares in 2 ways, for example, as 131051575346176 + 332603780055184 = 11447776^2 + 18237428^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×4636553554013602 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 463655355401296 and 463655355401305.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2897845971179 + ... + 2897845971338.

Almost surely, 2463655355401360 is an apocalyptic number.

463655355401360 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

463655355401360 is an abundant number, since it is smaller than the sum of its proper divisors (614343345906988).

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

463655355401360 is a wasteful number, since it uses less digits than its factorization.

463655355401360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5795691942530 (or 5795691942524 counting only the distinct ones).

The product of its (nonzero) digits is 58320000, while the sum is 56.

The spelling of 463655355401360 in words is "four hundred sixty-three trillion, six hundred fifty-five billion, three hundred fifty-five million, four hundred one thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 5795691942517 11591383885034 23182767770068 28978459712585 46365535540136 57956919425170 92731071080272 115913838850340 231827677700680 463655355401360