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542616340446 = 2342328971143
BaseRepresentation
bin1111110010101100111…
…01000100011111011110
31220212120212101010010000
413321112131010133132
532342234240343241
61053135143155130
754126352536015
oct7712635043736
91825525333100
10542616340446
1119a138861874
12891b5145aa6
133c226274a7b
141c397087a7c
15e1ac176eb6
hex7e567447de

542616340446 has 120 divisors (see below), whose sum is σ = 1285323787440. Its totient is φ = 171061792704.

The previous prime is 542616340433. The next prime is 542616340481. The reversal of 542616340446 is 644043616245.

542616340446 is a `hidden beast` number, since 5 + 4 + 2 + 6 + 1 + 634 + 0 + 4 + 4 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 7591551 + ... + 7662693.

It is an arithmetic number, because the mean of its divisors is an integer number (10711031562).

Almost surely, 2542616340446 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 542616340446, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642661893720).

542616340446 is an abundant number, since it is smaller than the sum of its proper divisors (742707446994).

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

542616340446 is a wasteful number, since it uses less digits than its factorization.

542616340446 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71292 (or 71260 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 45.

The spelling of 542616340446 in words is "five hundred forty-two billion, six hundred sixteen million, three hundred forty thousand, four hundred forty-six".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 81 89 138 162 178 207 267 414 529 534 621 801 1058 1242 1587 1602 1863 2047 2403 3174 3726 4094 4761 4806 6141 7209 9522 12282 14283 14418 18423 28566 36846 42849 47081 55269 71143 85698 94162 110538 141243 142286 165807 213429 282486 331614 423729 426858 640287 847458 1271187 1280574 1636289 1920861 2542374 3272578 3813561 3841722 4908867 5762583 6331727 7627122 9817734 11525166 12663454 14726601 18995181 29453202 37634647 37990362 44179803 56985543 75269294 88359606 112903941 113971086 132539409 145629721 170956629 225807882 265078818 291259442 338711823 341913258 436889163 512869887 677423646 873778326 1016135469 1025739774 1310667489 2032270938 2621334978 3048406407 3349483583 3932002467 6096812814 6698967166 7864004934 10048450749 11796007401 20096901498 23592014802 30145352247 60290704494 90436056741 180872113482 271308170223 542616340446