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63630081141 = 311192329233653
BaseRepresentation
bin111011010000101001…
…011111110001110101
320002020111020000220220
4323100221133301311
52020303300044031
645121541244553
74411545523434
oct732051376165
9202214200826
1063630081141
1124a92581820
12103b9703759
1360008401b3
143118a3311b
1519c62a7596
hexed0a5fc75

63630081141 has 128 divisors (see below), whose sum is σ = 105778483200. Its totient is φ = 33544304640.

The previous prime is 63630081121. The next prime is 63630081143. The reversal of 63630081141 is 14118003636.

It is not a de Polignac number, because 63630081141 - 213 = 63630072949 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63630081143) 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, 97442371 + ... + 97443023.

It is an arithmetic number, because the mean of its divisors is an integer number (826394400).

Almost surely, 263630081141 is an apocalyptic number.

It is an amenable number.

63630081141 is a deficient number, since it is larger than the sum of its proper divisors (42148402059).

63630081141 is a wasteful number, since it uses less digits than its factorization.

63630081141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 971.

The product of its (nonzero) digits is 10368, while the sum is 33.

Adding to 63630081141 its reverse (14118003636), we get a palindrome (77748084777).

The spelling of 63630081141 in words is "sixty-three billion, six hundred thirty million, eighty-one thousand, one hundred forty-one".

Divisors: 1 3 11 19 23 29 33 57 69 87 209 233 253 319 437 551 627 653 667 699 759 957 1311 1653 1959 2001 2563 4427 4807 5359 6061 6757 7183 7337 7689 12407 12673 13281 14421 15019 16077 18183 18937 20271 21549 22011 37221 38019 45057 48697 56811 58949 74327 101821 128383 136477 139403 146091 152149 155411 165209 176847 208307 222981 285361 305463 359803 385149 409431 418209 435551 456447 466233 495627 624921 856083 1079409 1120031 1306653 1412213 1673639 1709521 2890831 2952809 3138971 3360093 3499427 3957833 4236639 4412321 4791061 5020917 5128563 8275469 8672493 8858427 9416913 10498281 11873499 13236963 14373183 24826407 31799141 32480899 38493697 48535531 66489113 83834099 91030159 95397423 97442697 101483383 115481091 145606593 199467339 251502297 273090477 304450149 731380243 922175089 1116317213 1928184277 2194140729 2766525267 3348951639 5784552831 21210027047 63630081141