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126640188329473 = 72136719940936457
BaseRepresentation
bin11100110010110110110111…
…011100001000111000000001
3121121101200110110121022022001
4130302312313130020320001
5113044333101203020343
61125201411021344001
735450310631543600
oct3462666734107001
9547350413538261
10126640188329473
1137395890899995
1212253872a08001
1355881704c8780
14233b5bc6d5a37
15e9930674444d
hex732db7708e01

126640188329473 has 96 divisors (see below), whose sum is σ = 162225266784000. Its totient is φ = 97964525869056.

The previous prime is 126640188329383. The next prime is 126640188329483. The reversal of 126640188329473 is 374923881046621.

It is not a de Polignac number, because 126640188329473 - 213 = 126640188321281 is a prime.

It is not an unprimeable number, because it can be changed into a prime (126640188329483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3473668261 + ... + 3473704717.

It is an arithmetic number, because the mean of its divisors is an integer number (1689846529000).

Almost surely, 2126640188329473 is an apocalyptic number.

126640188329473 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

126640188329473 is a deficient number, since it is larger than the sum of its proper divisors (35585078454527).

126640188329473 is a wasteful number, since it uses less digits than its factorization.

126640188329473 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37159 (or 37152 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 64.

The spelling of 126640188329473 in words is "one hundred twenty-six trillion, six hundred forty billion, one hundred eighty-eight million, three hundred twenty-nine thousand, four hundred seventy-three".

Divisors: 1 7 13 49 67 91 199 409 469 637 871 1393 2587 2863 3283 5317 6097 9751 13333 18109 20041 27403 36457 37219 42679 81391 93331 126763 173329 191821 255199 260533 356239 473941 569737 653317 1058083 1213303 1342747 1786393 2442619 2493673 3317587 3988159 5453197 7254943 7406581 8493121 14910913 17098333 17455711 23223109 31754047 38172379 50784601 51846067 70891561 94314259 104376391 119688331 193841869 222278329 267206653 355492207 486081181 496240927 660199813 730634737 999031171 1356893083 1555948303 2967271687 3402568267 3473686489 4621398691 6319055353 6993218197 9498251581 12987405223 20770901809 23817977869 38574531931 44233387471 48952527379 90911836561 145396312663 198807203029 270021723517 309633712297 636382855927 1391650421203 1890152064619 2584493639377 9741552948421 18091455475639 126640188329473