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1813825404 = 2232174172287
BaseRepresentation
bin110110000011100…
…1100011101111100
311200102000212200200
41230013030131330
512203314403104
6455552323500
762643155466
oct15407143574
94612025620
101813825404
11850947966
12427543590
1322ba20b91
14132c75136
15a9389b39
hex6c1cc77c

1813825404 has 72 divisors (see below), whose sum is σ = 4973125248. Its totient is φ = 555156480.

The previous prime is 1813825399. The next prime is 1813825411. The reversal of 1813825404 is 4045283181.

1813825404 is a `hidden beast` number, since 1 + 81 + 38 + 2 + 540 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11052 + ... + 61235.

It is an arithmetic number, because the mean of its divisors is an integer number (69071184).

Almost surely, 21813825404 is an apocalyptic number.

It is an amenable number.

1813825404 is an abundant number, since it is smaller than the sum of its proper divisors (3159299844).

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

1813825404 is a wasteful number, since it uses less digits than its factorization.

1813825404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72355 (or 72350 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 1813825404 is about 42589.0291507097. The cubic root of 1813825404 is about 1219.5468629790.

The spelling of 1813825404 in words is "one billion, eight hundred thirteen million, eight hundred twenty-five thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 41 51 68 82 102 123 153 164 204 246 306 369 492 612 697 738 1394 1476 2091 2788 4182 6273 8364 12546 25092 72287 144574 216861 289148 433722 650583 867444 1228879 1301166 2457758 2602332 2963767 3686637 4915516 5927534 7373274 8891301 11059911 11855068 14746548 17782602 22119822 26673903 35565204 44239644 50384039 53347806 100768078 106695612 151152117 201536156 302304234 453456351 604608468 906912702 1813825404