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474201648045 = 32589601197009
BaseRepresentation
bin1101110011010001001…
…11101110101110101101
31200022222221001122102200
412321220213232232231
530232131110214140
61001502323012113
746155105334266
oct6715047565655
91608887048380
10474201648045
11173120516874
1277aa120a039
13359423ba868
1418d46c1d96d
15c505d12030
hex6e689eebad

474201648045 has 48 divisors (see below), whose sum is σ = 832572140400. Its totient is φ = 249648537600.

The previous prime is 474201647989. The next prime is 474201648061. The reversal of 474201648045 is 540846102474.

474201648045 is a `hidden beast` number, since 474 + 2 + 0 + 1 + 64 + 80 + 45 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1213964964 + 472987683081 = 34842^2 + 687741^2 .

It is not a de Polignac number, because 474201648045 - 210 = 474201647021 is a prime.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2308501 + ... + 2505509.

It is an arithmetic number, because the mean of its divisors is an integer number (17345252925).

Almost surely, 2474201648045 is an apocalyptic number.

474201648045 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

474201648045 is a deficient number, since it is larger than the sum of its proper divisors (358370492355).

474201648045 is a wasteful number, since it uses less digits than its factorization.

474201648045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197710 (or 197707 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The spelling of 474201648045 in words is "four hundred seventy-four billion, two hundred one million, six hundred forty-eight thousand, forty-five".

Divisors: 1 3 5 9 15 45 89 267 445 601 801 1335 1803 3005 4005 5409 9015 27045 53489 160467 197009 267445 481401 591027 802335 985045 1773081 2407005 2955135 8865405 17533801 52601403 87669005 118402409 157804209 263007015 355207227 592012045 789021045 1065621681 1776036135 5328108405 10537814401 31613443203 52689072005 94840329609 158067216015 474201648045