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540537415452 = 223317294410357
BaseRepresentation
bin1111101110110101000…
…10100110011100011100
31220200012222111210011000
413313122202212130130
532324010034243302
61052153000430300
754024010136136
oct7673242463434
91820188453130
10540537415452
11199271308741
1288914a78390
133bc84655738
141c23ad26056
15e0d98c431c
hex7dda8a671c

540537415452 has 48 divisors (see below), whose sum is σ = 1483828204320. Its totient is φ = 169580365056.

The previous prime is 540537415391. The next prime is 540537415477. The reversal of 540537415452 is 254514735045.

540537415452 is a `hidden beast` number, since 54 + 0 + 53 + 7 + 4 + 1 + 545 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 540537415398 and 540537415407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 147203343 + ... + 147207014.

It is an arithmetic number, because the mean of its divisors is an integer number (30913087590).

Almost surely, 2540537415452 is an apocalyptic number.

It is an amenable number.

540537415452 is an abundant number, since it is smaller than the sum of its proper divisors (943290788868).

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

540537415452 is a wasteful number, since it uses less digits than its factorization.

540537415452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294410387 (or 294410379 counting only the distinct ones).

The product of its (nonzero) digits is 1680000, while the sum is 45.

The spelling of 540537415452 in words is "five hundred forty billion, five hundred thirty-seven million, four hundred fifteen thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 102 108 153 204 306 459 612 918 1836 294410357 588820714 883231071 1177641428 1766462142 2649693213 3532924284 5004976069 5299386426 7949079639 10009952138 10598772852 15014928207 15898159278 20019904276 30029856414 31796318556 45044784621 60059712828 90089569242 135134353863 180179138484 270268707726 540537415452