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998981289328 = 241161151616223
BaseRepresentation
bin11101000100101111110…
…11001100010101110000
310112111112201112120011011
432202113323030111300
5112331403202224303
62042531540000304
7132113454566041
oct16422773142560
93474481476134
10998981289328
11355735992550
12141738990094
137328520a069
14364cb0288c8
151aebc0db16d
hexe897ecc570

998981289328 has 80 divisors (see below), whose sum is σ = 2160313731072. Its totient is φ = 443679840000.

The previous prime is 998981289283. The next prime is 998981289377. The reversal of 998981289328 is 823982189899.

It is a super-3 number, since 3×9989812893283 (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1313025 + ... + 1929247.

Almost surely, 2998981289328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 998981289328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1080156865536).

998981289328 is an abundant number, since it is smaller than the sum of its proper divisors (1161332441744).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

998981289328 is a wasteful number, since it uses less digits than its factorization.

998981289328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616454 (or 616448 counting only the distinct ones).

The product of its digits is 322486272, while the sum is 76.

The spelling of 998981289328 in words is "nine hundred ninety-eight billion, nine hundred eighty-one million, two hundred eighty-nine thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 11 16 22 44 61 88 122 151 176 244 302 488 604 671 976 1208 1342 1661 2416 2684 3322 5368 6644 9211 10736 13288 18422 26576 36844 73688 101321 147376 202642 405284 616223 810568 1232446 1621136 2464892 4929784 6778453 9859568 13556906 27113812 37589603 54227624 75179206 93049673 108455248 150358412 186099346 300716824 372198692 413485633 601433648 744397384 826971266 1023546403 1488794768 1653942532 2047092806 3307885064 4094185612 5676030053 6615770128 8188371224 11352060106 16376742448 22704120212 45408240424 62436330583 90816480848 124872661166 249745322332 499490644664 998981289328