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542621462016 = 29315114931567
BaseRepresentation
bin1111110010101101100…
…00100110111000000000
31220212121020000022120210
413321112300212320000
532342242043241031
61053135445034120
754126444216504
oct7712660467000
91825536008523
10542621462016
1119a14073a777
12891b69b5940
133c227348c9a
141c397a1c304
15e1ac839746
hex7e56c26e00

542621462016 has 160 divisors (see below), whose sum is σ = 1457054742528. Its totient is φ = 179441049600.

The previous prime is 542621462011. The next prime is 542621462021. The reversal of 542621462016 is 610264126245.

It is an interprime number because it is at equal distance from previous prime (542621462011) and next prime (542621462021).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542621462011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 346279665 + ... + 346281231.

Almost surely, 2542621462016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 542621462016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (728527371264).

542621462016 is an abundant number, since it is smaller than the sum of its proper divisors (914433280512).

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

542621462016 is a wasteful number, since it uses less digits than its factorization.

542621462016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3232 (or 3216 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The spelling of 542621462016 in words is "five hundred forty-two billion, six hundred twenty-one million, four hundred sixty-two thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 151 192 256 302 384 453 512 604 768 906 1208 1493 1536 1567 1812 2416 2986 3134 3624 4479 4701 4832 5972 6268 7248 8958 9402 9664 11944 12536 14496 17916 18804 19328 23888 25072 28992 35832 37608 38656 47776 50144 57984 71664 75216 77312 95552 100288 115968 143328 150432 191104 200576 225443 231936 236617 286656 300864 382208 401152 450886 473234 573312 601728 676329 709851 764416 802304 901772 946468 1146624 1203456 1352658 1419702 1803544 1892936 2293248 2339531 2406912 2705316 2839404 3607088 3785872 4679062 5410632 5678808 7018593 7214176 7571744 9358124 10821264 11357616 14037186 14428352 15143488 18716248 21642528 22715232 28074372 28856704 30286976 37432496 43285056 45430464 56148744 57713408 60573952 74864992 86570112 90860928 112297488 115426816 121147904 149729984 173140224 181721856 224594976 299459968 346280448 353269181 363443712 449189952 598919936 706538362 898379904 1059807543 1197839872 1413076724 1796759808 2119615086 2826153448 3593519616 4239230172 5652306896 8478460344 11304613792 16956920688 22609227584 33913841376 45218455168 67827682752 90436910336 135655365504 180873820672 271310731008 542621462016