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542215221463050 = 235233113723795799
BaseRepresentation
bin111101101001001000101000…
…1101010101100100000001010
32122002211021021001111122002020
41323102101101222230200022
51032032123233143304200
65201110122313545310
7222131520440002002
oct17322212152544012
92562737231448066
10542215221463050
11147848202aa3353
1250990b38715236
131a3718a31bb345
1497c74dcc99002
1542a43e0029ea0
hex1ed2451aac80a

542215221463050 has 96 divisors (see below), whose sum is σ = 1348856247436800. Its totient is φ = 144143210059200.

The previous prime is 542215221463021. The next prime is 542215221463099. The reversal of 542215221463050 is 50364122512245.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 542215221462993 and 542215221463011.

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, 680949051 + ... + 681744849.

It is an arithmetic number, because the mean of its divisors is an integer number (14050585910800).

Almost surely, 2542215221463050 is an apocalyptic number.

542215221463050 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 542215221463050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674428123718400).

542215221463050 is an abundant number, since it is smaller than the sum of its proper divisors (806641025973750).

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

542215221463050 is a wasteful number, since it uses less digits than its factorization.

542215221463050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 809868 (or 809863 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 42.

Adding to 542215221463050 its reverse (50364122512245), we get a palindrome (592579343975295).

The spelling of 542215221463050 in words is "five hundred forty-two trillion, two hundred fifteen billion, two hundred twenty-one million, four hundred sixty-three thousand, fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 150 331 662 993 1655 1986 3310 4965 8275 9930 13723 16550 24825 27446 41169 49650 68615 82338 137230 205845 343075 411690 686150 795799 1029225 1591598 2058450 2387397 3978995 4542313 4774794 7957990 9084626 11936985 13626939 19894975 22711565 23873970 27253878 39789950 45423130 59684925 68134695 113557825 119369850 136269390 227115650 263409469 340673475 526818938 681346950 790228407 1317047345 1580456814 2634094690 3951142035 6585236725 7902284070 10920749677 13170473450 19755710175 21841499354 32762249031 39511420350 54603748385 65524498062 109207496770 163811245155 273018741925 327622490310 546037483850 819056225775 1638112451550 3614768143087 7229536286174 10844304429261 18073840715435 21688608858522 36147681430870 54221522146305 90369203577175 108443044292610 180738407154350 271107610731525 542215221463050