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998238776161 = 11261214892
BaseRepresentation
bin11101000011010111010…
…10101110101101100001
310112102121222100222120111
432201223222232231201
5112323343111314121
62042330133211321
7132056200411444
oct16415352565541
93472558328514
10998238776161
11355394846400
12141570190b41
1373197434263
143645a58565b
151ae76d1c2e1
hexe86baaeb61

998238776161 has 27 divisors (see below), whose sum is σ = 1116269719929. Its totient is φ = 892013443200.

The previous prime is 998238776149. The next prime is 998238776189. The reversal of 998238776161 is 161677832899.

The square root of 998238776161 is 999119.

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 620677684561 + 377561091600 = 787831^2 + 614460^2 .

It is not a de Polignac number, because 998238776161 - 27 = 998238776033 is a prime.

It is a super-2 number, since 2×9982387761612 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (998238776141) 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, 670408105 + ... + 670409593.

Almost surely, 2998238776161 is an apocalyptic number.

998238776161 is the 999119-th square number.

998238776161 is the 499560-th centered octagonal number.

It is an amenable number.

998238776161 is a deficient number, since it is larger than the sum of its proper divisors (118030943768).

998238776161 is an frugal number, since it uses more digits than its factorization.

998238776161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3122 (or 1561 counting only the distinct ones).

The product of its digits is 54867456, while the sum is 67.

The spelling of 998238776161 in words is "nine hundred ninety-eight billion, two hundred thirty-eight million, seven hundred seventy-six thousand, one hundred sixty-one".

Divisors: 1 11 61 121 671 1489 3721 7381 16379 40931 90829 180169 450241 999119 2217121 5540569 10990309 24388331 60946259 135244381 268271641 670408849 1487688191 8249907241 16364570101 90748979651 998238776161