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139899188961 = 367219792
BaseRepresentation
bin1000001001001010100…
…1000011011011100001
3111101002211000011000000
42002102221003123201
54243003143021321
6144134021050213
713051555325400
oct2022251033341
9441084004000
10139899188961
1154370499334
1223143b56969
1310266a262ac
146ab20a9637
15398be5b826
hex2092a436e1

139899188961 has 63 divisors (see below), whose sum is σ = 244121546721. Its totient is φ = 79901998344.

The previous prime is 139899188941. The next prime is 139899188977. The reversal of 139899188961 is 169881998931.

The square root of 139899188961 is 374031.

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

139899188961 is a `hidden beast` number, since 1 + 398 + 99 + 18 + 89 + 61 = 666.

It is a tau number, because it is divible by the number of its divisors (63).

It is not a de Polignac number, because 139899188961 - 221 = 139897091809 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 139899188961.

It is not an unprimeable number, because it can be changed into a prime (139899188941) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 70690870 + ... + 70692848.

Almost surely, 2139899188961 is an apocalyptic number.

139899188961 is the 374031-st square number.

139899188961 is the 187016-th centered octagonal number.

It is an amenable number.

139899188961 is a deficient number, since it is larger than the sum of its proper divisors (104222357760).

139899188961 is an frugal number, since it uses more digits than its factorization.

139899188961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3990 (or 1989 counting only the distinct ones).

The product of its digits is 60466176, while the sum is 72.

The spelling of 139899188961 in words is "one hundred thirty-nine billion, eight hundred ninety-nine million, one hundred eighty-eight thousand, nine hundred sixty-one".

Divisors: 1 3 7 9 21 27 49 63 81 147 189 243 441 567 729 1323 1701 1979 3969 5103 5937 11907 13853 17811 35721 41559 53433 96971 124677 160299 290913 374031 480897 872739 1122093 1442691 2618217 3366279 3916441 7854651 10098837 11749323 23563953 27415087 35247969 70691859 82245261 105743907 191905609 246735783 317231721 575716827 740207349 951695163 1727150481 2220622047 2855085489 5181451443 6661866141 15544354329 19985598423 46633062987 139899188961