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126143597889 = 34192312672
BaseRepresentation
bin111010101111010111…
…1101000110101000001
3110001121011102201110000
41311132233220311001
54031320230113024
6133541035030213
712053645614341
oct1653657506501
9401534381400
10126143597889
1149551855151
122054529b369
13bb83c4ccaa
146169254d21
153434505cc9
hex1d5ebe8d41

126143597889 has 135 divisors (see below), whose sum is σ = 208611681201. Its totient is φ = 75948911280.

The previous prime is 126143597869. The next prime is 126143597953. The reversal of 126143597889 is 988795341621.

The square root of 126143597889 is 355167.

It is a perfect power (a square), and thus also a powerful number.

126143597889 is a `hidden beast` number, since 1 + 2 + 614 + 3 + 5 + 9 + 7 + 8 + 8 + 9 = 666.

It is a de Polignac number, because none of the positive numbers 2k-126143597889 is a prime.

Its product of digits (26127360) is a multiple of the sum of its prime divisors (120).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (126143597809) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 1882740234 + ... + 1882740300.

Almost surely, 2126143597889 is an apocalyptic number.

126143597889 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

126143597889 is the 355167-th square number.

126143597889 is the 177584-th centered octagonal number.

It is an amenable number.

126143597889 is a deficient number, since it is larger than the sum of its proper divisors (82468083312).

126143597889 is an frugal number, since it uses more digits than its factorization.

126143597889 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 120 counting only the distinct ones).

The product of its digits is 26127360, while the sum is 63.

The spelling of 126143597889 in words is "one hundred twenty-six billion, one hundred forty-three million, five hundred ninety-seven thousand, eight hundred eighty-nine".

Divisors: 1 3 9 19 27 31 57 67 81 93 171 201 279 361 513 589 603 837 961 1083 1273 1539 1767 1809 2077 2511 2883 3249 3819 4489 5301 5427 6231 8649 9747 11191 11457 13467 15903 18259 18693 24187 25947 29241 33573 34371 39463 40401 47709 54777 56079 64387 72561 77841 85291 100719 103113 118389 121203 139159 164331 168237 193161 217683 255873 302157 346921 355167 363609 417477 492993 579483 653049 749797 767619 906471 1040763 1065501 1223353 1252431 1478979 1620529 1738449 1959147 2249391 2302857 2644021 3122289 3196503 3670059 3757293 4313929 4861587 5215347 6748173 6908571 7932063 9366867 11010177 11271879 12941787 14584761 20244519 23243707 23796189 28100601 33030531 38825361 43754283 50236399 60733557 69731121 71388567 81964651 99091593 116476083 131262849 150709197 209193363 214165701 245893953 349428249 452127591 627580089 737681859 1356382773 1557328369 1882740267 2213045577 4069148319 4671985107 6639136731 14015955321 42047865963 126143597889