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997719301881 = 3273245612
BaseRepresentation
bin11101000010011001011…
…01000101111011111001
310112101021202212221211100
432201030231011323321
5112321312120130011
62042202415122013
7132040262065251
oct16411455057371
93471252787740
10997719301881
11355148598715
12141446213309
1373113921123
143640b5a0961
151ae46408d56
hexe84cb45ef9

997719301881 has 27 divisors (see below), whose sum is σ = 1461482750637. Its totient is φ = 655890773760.

The previous prime is 997719301793. The next prime is 997719301907. The reversal of 997719301881 is 188103917799.

The square root of 997719301881 is 998859.

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

It can be written as a sum of positive squares in 4 ways, for example, as 10049060025 + 987670241856 = 100245^2 + 993816^2 .

It is a de Polignac number, because none of the positive numbers 2k-997719301881 is a prime.

It is a super-2 number, since 2×9977193018812 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (997719301981) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 218747841 + ... + 218752401.

Almost surely, 2997719301881 is an apocalyptic number.

997719301881 is the 998859-th square number.

997719301881 is the 499430-th centered octagonal number.

It is an amenable number.

997719301881 is a deficient number, since it is larger than the sum of its proper divisors (463763448756).

997719301881 is an frugal number, since it uses more digits than its factorization.

997719301881 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9274 (or 4637 counting only the distinct ones).

The product of its (nonzero) digits is 6858432, while the sum is 63.

It can be divided in two parts, 997719 and 301881, that added together give a square (1299600 = 11402).

The spelling of 997719301881 in words is "nine hundred ninety-seven billion, seven hundred nineteen million, three hundred one thousand, eight hundred eighty-one".

Divisors: 1 3 9 73 219 657 4561 5329 13683 15987 41049 47961 332953 998859 2996577 20802721 24305569 62408163 72916707 187224489 218750121 1518598633 4555795899 13667387697 110857700209 332573100627 997719301881