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54427621218816 = 293317611502041
BaseRepresentation
bin11000110000000011010110…
…00001110101101000000000
321010201020012111121122010010
430120001223001311220000
524113220232013000231
6311431412022104520
714315160123004056
oct1430015301655000
9233636174548103
1054427621218816
111638469628661a
12613053027b140
13244a66c4552b1
14d6244d25a1d6
15645bc23a8546
hex31806b075a00

54427621218816 has 160 divisors (see below), whose sum is σ = 149872741387776. Its totient is φ = 17534214144000.

The previous prime is 54427621218811. The next prime is 54427621218821. The reversal of 54427621218816 is 61881212672445.

It is an interprime number because it is at equal distance from previous prime (54427621218811) and next prime (54427621218821).

It is not an unprimeable number, because it can be changed into a prime (54427621218811) 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, 35484756 + ... + 36986796.

Almost surely, 254427621218816 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 54427621218816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74936370693888).

54427621218816 is an abundant number, since it is smaller than the sum of its proper divisors (95445120168960).

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

54427621218816 is a wasteful number, since it uses less digits than its factorization.

54427621218816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1502854 (or 1502838 counting only the distinct ones).

The product of its digits is 10321920, while the sum is 57.

The spelling of 54427621218816 in words is "fifty-four trillion, four hundred twenty-seven billion, six hundred twenty-one million, two hundred eighteen thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 256 372 384 496 512 744 761 768 992 1488 1522 1536 1984 2283 2976 3044 3968 4566 5952 6088 7936 9132 11904 12176 15872 18264 23591 23808 24352 36528 47182 47616 48704 70773 73056 94364 97408 141546 146112 188728 194816 283092 292224 377456 389632 566184 584448 754912 1132368 1168896 1502041 1509824 2264736 3004082 3019648 4506123 4529472 6008164 6039296 9012246 9058944 12016328 12078592 18024492 18117888 24032656 36048984 36235776 46563271 48065312 72097968 93126542 96130624 139689813 144195936 186253084 192261248 279379626 288391872 372506168 384522496 558759252 576783744 745012336 769044992 1117518504 1143053201 1153567488 1490024672 2235037008 2286106402 2307134976 2980049344 3429159603 4470074016 4572212804 5960098688 6858319206 8940148032 9144425608 11920197376 13716638412 17880296064 18288851216 23840394752 27433276824 35434649231 35760592128 36577702432 54866553648 70869298462 71521184256 73155404864 106303947693 109733107296 141738596924 146310809728 212607895386 219466214592 283477193848 292621619456 425215790772 438932429184 566954387696 585243238912 850431581544 877864858368 1133908775392 1700863163088 1755729716736 2267817550784 3401726326176 4535635101568 6803452652352 9071270203136 13606905304704 18142540406272 27213810609408 54427621218816