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541320540345 = 325131948701803
BaseRepresentation
bin1111110000010010011…
…01111111000010111001
31220202020120002122112200
413320021031333002321
532332111024242340
61052402413500413
754052266450114
oct7701115770271
91822216078480
10541320540345
11199633372aa2
1288ab31a1709
133c07a97a650
141c2b2d3b57b
15e133516330
hex7e0937f0b9

541320540345 has 48 divisors (see below), whose sum is σ = 1063647399360. Its totient is φ = 252470141568.

The previous prime is 541320540329. The next prime is 541320540401. The reversal of 541320540345 is 543045023145.

541320540345 is a `hidden beast` number, since 5 + 4 + 1 + 3 + 205 + 403 + 45 = 666.

It is not a de Polignac number, because 541320540345 - 24 = 541320540329 is a prime.

It is a Curzon 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, 24339787 + ... + 24362016.

It is an arithmetic number, because the mean of its divisors is an integer number (22159320820).

Almost surely, 2541320540345 is an apocalyptic number.

It is an amenable number.

541320540345 is a deficient number, since it is larger than the sum of its proper divisors (522326859015).

541320540345 is a wasteful number, since it uses less digits than its factorization.

541320540345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48701846 (or 48701843 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The spelling of 541320540345 in words is "five hundred forty-one billion, three hundred twenty million, five hundred forty thousand, three hundred forty-five".

Divisors: 1 3 5 9 13 15 19 39 45 57 65 95 117 171 195 247 285 585 741 855 1235 2223 3705 11115 48701803 146105409 243509015 438316227 633123439 730527045 925334257 1899370317 2191581135 2776002771 3165617195 4626671285 5698110951 8328008313 9496851585 12029345341 13880013855 28490554755 36088036023 41640041565 60146726705 108264108069 180440180115 541320540345