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542662522453100 = 225274357731245503
BaseRepresentation
bin111101101100011000111011…
…0111000100011110001101100
32122011102000211020020021002102
41323120301312320203301230
51032111440321221444400
65202051415442314232
7222206034121455050
oct17330616670436154
92564360736207072
10542662522453100
111479aa979818665
1250a43770958978
131a3a4b1936b49a
149801013135c60
1542b0d6e37b9d5
hex1ed8c76e23c6c

542662522453100 has 144 divisors (see below), whose sum is σ = 1379487501815808. Its totient is φ = 181413884252160.

The previous prime is 542662522453049. The next prime is 542662522453109. The reversal of 542662522453100 is 1354225266245.

It is a super-2 number, since 2×5426625224531002 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (542662522453109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1744949 + ... + 32990451.

Almost surely, 2542662522453100 is an apocalyptic number.

542662522453100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 542662522453100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689743750907904).

542662522453100 is an abundant number, since it is smaller than the sum of its proper divisors (836824979362708).

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

542662522453100 is a wasteful number, since it uses less digits than its factorization.

542662522453100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31246144 (or 31246137 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 47.

The spelling of 542662522453100 in words is "five hundred forty-two trillion, six hundred sixty-two billion, five hundred twenty-two million, four hundred fifty-three thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 43 50 70 86 100 140 172 175 215 301 350 430 577 602 700 860 1075 1154 1204 1505 2150 2308 2885 3010 4039 4300 5770 6020 7525 8078 11540 14425 15050 16156 20195 24811 28850 30100 40390 49622 57700 80780 99244 100975 124055 173677 201950 248110 347354 403900 496220 620275 694708 868385 1240550 1736770 2481100 3473540 4341925 8683850 17367700 31245503 62491006 124982012 156227515 218718521 312455030 437437042 624910060 781137575 874874084 1093592605 1343556629 1562275150 2187185210 2687113258 3124550300 4374370420 5374226516 5467963025 6717783145 9404896403 10935926050 13435566290 18028655231 18809792806 21871852100 26871132580 33588915725 36057310462 37619585612 47024482015 67177831450 72114620924 90143276155 94048964030 126200586617 134355662900 180286552310 188097928060 235122410075 252401173234 360573104620 450716380775 470244820150 504802346468 631002933085 775232174933 901432761550 940489640300 1262005866170 1550464349866 1802865523100 2524011732340 3100928699732 3155014665425 3876160874665 5426625224531 6310029330850 7752321749330 10853250449062 12620058661700 15504643498660 19380804373325 21706500898124 27133126122655 38761608746650 54266252245310 77523217493300 108532504490620 135665630613275 271331261226550 542662522453100