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163542420331125 = 353111311439210317
BaseRepresentation
bin100101001011110110101111…
…110111101001101001110101
3210110001111120110112010120120
4211023312233313221221311
5132413434334101044000
61335454203430522153
746306356430240263
oct4513665767515165
9713044513463516
10163542420331125
1148122a5080a050
1216413749806359
137033ca3cab334
142c556d1465433
1513d91a89216a0
hex94bdafde9a75

163542420331125 has 128 divisors (see below), whose sum is σ = 299349613854720. Its totient is φ = 78632946080000.

The previous prime is 163542420331067. The next prime is 163542420331127. The reversal of 163542420331125 is 521133024245361.

It is not a de Polignac number, because 163542420331125 - 219 = 163542419806837 is a prime.

It is a super-2 number, since 2×1635424203311252 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (163542420331127) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 777494467 + ... + 777704783.

It is an arithmetic number, because the mean of its divisors is an integer number (2338668858240).

Almost surely, 2163542420331125 is an apocalyptic number.

163542420331125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

163542420331125 is a deficient number, since it is larger than the sum of its proper divisors (135807193523595).

163542420331125 is a wasteful number, since it uses less digits than its factorization.

163542420331125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211916 (or 211906 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 42.

Adding to 163542420331125 its reverse (521133024245361), we get a palindrome (684675444576486).

The spelling of 163542420331125 in words is "one hundred sixty-three trillion, five hundred forty-two billion, four hundred twenty million, three hundred thirty-one thousand, one hundred twenty-five".

Divisors: 1 3 5 11 15 25 33 55 75 125 131 165 275 375 393 655 825 1375 1439 1441 1965 3275 4125 4317 4323 7195 7205 9825 15829 16375 21585 21615 35975 36025 47487 49125 79145 107925 108075 179875 180125 188509 210317 237435 395725 539625 540375 565527 630951 942545 1051585 1187175 1978625 2073599 2313487 2827635 3154755 4712725 5257925 5935875 6220797 6940461 10367995 11567435 14138175 15773775 23563625 26289625 27551527 31103985 34702305 51839975 57837175 70690875 78868875 82654581 137757635 155519925 173511525 259199875 289185875 302646163 303066797 413272905 688788175 777599625 867557625 907938489 909200391 1513230815 1515333985 2066364525 3329107793 3443940875 4539692445 4546001955 7566154075 7576669925 9987323379 10331822625 16645538965 22698462225 22730009775 37830770375 37883349625 39646647353 49936616895 83227694825 113492311125 113650048875 118939942059 198233236765 249683084475 416138474125 436113120883 594699710295 991166183825 1248415422375 1308339362649 2180565604415 2973498551475 4955830919125 6541696813245 10902828022075 14867492757375 32708484066225 54514140110375 163542420331125