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541345612104 = 233211683517187
BaseRepresentation
bin1111110000010101011…
…01101000000101001000
31220202022022021102112100
413320022231220011020
532332133434041404
61052405111113400
754053022531453
oct7701255500510
91822268242470
10541345612104
11199646537860
1288abb672860
133c082c183cb
141c2b63c649a
15e135819d39
hex7e0ab68148

541345612104 has 48 divisors (see below), whose sum is σ = 1599430219920. Its totient is φ = 164044124640.

The previous prime is 541345612079. The next prime is 541345612127. The reversal of 541345612104 is 401216543145.

541345612104 is a `hidden beast` number, since 5 + 4 + 1 + 34 + 5 + 612 + 1 + 0 + 4 = 666.

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

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 11 ways as a sum of consecutive naturals, for example, 341757802 + ... + 341759385.

It is an arithmetic number, because the mean of its divisors is an integer number (33321462915).

Almost surely, 2541345612104 is an apocalyptic number.

It is an amenable number.

541345612104 is an abundant number, since it is smaller than the sum of its proper divisors (1058084607816).

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

541345612104 is a wasteful number, since it uses less digits than its factorization.

541345612104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683517210 (or 683517203 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 541345612104 in words is "five hundred forty-one billion, three hundred forty-five million, six hundred twelve thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 683517187 1367034374 2050551561 2734068748 4101103122 5468137496 6151654683 7518689057 8202206244 12303309366 15037378114 16404412488 22556067171 24606618732 30074756228 45112134342 49213237464 60149512456 67668201513 90224268684 135336403026 180448537368 270672806052 541345612104