Search a number
-
+
464203652341 = 112134118713847
BaseRepresentation
bin1101100000101001011…
…00011001110011110101
31122101012011001211200111
412300110230121303311
530101142113333331
6553130251143021
745352253640622
oct6602454316365
91571164054614
10464203652341
1116995a950700
1275b70a44a71
1334a0ac52780
141867905d349
15c11d1ecdb1
hex6c14b19cf5

464203652341 has 48 divisors (see below), whose sum is σ = 563339073024. Its totient is φ = 379738656000.

The previous prime is 464203652329. The next prime is 464203652347. The reversal of 464203652341 is 143256302464.

It is not a de Polignac number, because 464203652341 - 211 = 464203650293 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 464203652294 and 464203652303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (464203652347) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 120664480 + ... + 120668326.

It is an arithmetic number, because the mean of its divisors is an integer number (11736230688).

Almost surely, 2464203652341 is an apocalyptic number.

464203652341 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

464203652341 is a deficient number, since it is larger than the sum of its proper divisors (99135420683).

464203652341 is a wasteful number, since it uses less digits than its factorization.

464203652341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5794 (or 5783 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 40.

The spelling of 464203652341 in words is "four hundred sixty-four billion, two hundred three million, six hundred fifty-two thousand, three hundred forty-one".

Divisors: 1 11 13 41 121 143 451 533 1573 1871 3847 4961 5863 20581 24323 42317 50011 64493 76711 157727 226391 267553 465487 550121 843821 997243 1734997 2050451 2943083 6051331 7197737 9282031 10969673 19084967 22554961 79175107 93570581 120666403 248104571 295107217 870926177 1029276391 3246179387 3836393821 11322040301 35707973257 42200332031 464203652341