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461401770645 = 32597105704873
BaseRepresentation
bin1101011011011011011…
…00000100101010010101
31122002221212211111120100
412231231230010222111
530024422323130040
6551544241124313
745222652224414
oct6555554045225
91562855744510
10461401770645
111687522a84a2
127550a629699
1334682616bca
1418490ca947b
15c007240b30
hex6b6db04a95

461401770645 has 24 divisors (see below), whose sum is σ = 808008056856. Its totient is φ = 243544025088.

The previous prime is 461401770637. The next prime is 461401770647. The reversal of 461401770645 is 546077104164.

It can be written as a sum of positive squares in 4 ways, for example, as 3335409009 + 458066361636 = 57753^2 + 676806^2 .

It is not a de Polignac number, because 461401770645 - 23 = 461401770637 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 461401770645.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461401770647) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52848072 + ... + 52856801.

It is an arithmetic number, because the mean of its divisors is an integer number (33667002369).

Almost surely, 2461401770645 is an apocalyptic number.

461401770645 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

461401770645 is a deficient number, since it is larger than the sum of its proper divisors (346606286211).

461401770645 is a wasteful number, since it uses less digits than its factorization.

461401770645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105704981 (or 105704978 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 461401770645 in words is "four hundred sixty-one billion, four hundred one million, seven hundred seventy thousand, six hundred forty-five".

Divisors: 1 3 5 9 15 45 97 291 485 873 1455 4365 105704873 317114619 528524365 951343857 1585573095 4756719285 10253372681 30760118043 51266863405 92280354129 153800590215 461401770645