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45148465377 = 32173173892393
BaseRepresentation
bin101010000011000011…
…101110100011100001
311022112110210200021100
4222003003232203201
51214431001343002
632424012145013
73155551423641
oct520303564341
9138473720240
1045148465377
111816914a304
128900168169
1343468c3692
142284278521
1512939b811c
hexa830ee8e1

45148465377 has 48 divisors (see below), whose sum is σ = 69475507920. Its totient is φ = 28154720256.

The previous prime is 45148465337. The next prime is 45148465381. The reversal of 45148465377 is 77356484154.

45148465377 is a `hidden beast` number, since 4 + 5 + 148 + 465 + 37 + 7 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 13764217041 + 31384248336 = 117321^2 + 177156^2 .

It is not a de Polignac number, because 45148465377 - 214 = 45148448993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (45148465337) 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, 18865693 + ... + 18868085.

It is an arithmetic number, because the mean of its divisors is an integer number (1447406415).

Almost surely, 245148465377 is an apocalyptic number.

It is an amenable number.

45148465377 is a deficient number, since it is larger than the sum of its proper divisors (24327042543).

45148465377 is a wasteful number, since it uses less digits than its factorization.

45148465377 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3122 (or 3119 counting only the distinct ones).

The product of its digits is 11289600, while the sum is 54.

The spelling of 45148465377 in words is "forty-five billion, one hundred forty-eight million, four hundred sixty-five thousand, three hundred seventy-seven".

Divisors: 1 3 9 17 51 153 317 389 951 1167 2393 2853 3501 5389 6613 7179 16167 19839 21537 40681 48501 59517 122043 123313 366129 369939 758581 930877 1109817 2096321 2275743 2792631 6288963 6827229 8377893 12895877 15824909 18866889 38687631 47474727 116062893 142424181 295088009 885264027 2655792081 5016496153 15049488459 45148465377