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2085056541 = 324349110973
BaseRepresentation
bin111110001000111…
…0111000000011101
312101022101211212100
41330101313000131
513232233302131
6542521555313
7102445455021
oct17421670035
95338354770
102085056541
1197aa61927
124a2345b39
13272c88189
1415acba381
15c30b47e6
hex7c47701d

2085056541 has 24 divisors (see below), whose sum is σ = 3088346976. Its totient is φ = 1354822560.

The previous prime is 2085056507. The next prime is 2085056609. The reversal of 2085056541 is 1456505802.

2085056541 is a `hidden beast` number, since 2 + 0 + 8 + 50 + 565 + 41 = 666.

It is not a de Polignac number, because 2085056541 - 211 = 2085054493 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2085056496 and 2085056505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2085054541) 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, 184531 + ... + 195503.

It is an arithmetic number, because the mean of its divisors is an integer number (128681124).

Almost surely, 22085056541 is an apocalyptic number.

It is an amenable number.

2085056541 is a deficient number, since it is larger than the sum of its proper divisors (1003290435).

2085056541 is a wasteful number, since it uses less digits than its factorization.

2085056541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11513 (or 11510 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The square root of 2085056541 is about 45662.4193511470. The cubic root of 2085056541 is about 1277.5344263557.

The spelling of 2085056541 in words is "two billion, eighty-five million, fifty-six thousand, five hundred forty-one".

Divisors: 1 3 9 43 129 387 491 1473 4419 10973 21113 32919 63339 98757 190017 471839 1415517 4246551 5387743 16163229 48489687 231672949 695018847 2085056541