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998202980352 = 2113173939121
BaseRepresentation
bin11101000011010011000…
…10001011100000000000
310112102112111000100221210
432201221202023200000
5112323304430332402
62042322414050120
7132055254223464
oct16415142134000
93472474010853
10998202980352
11355376617496
121415601a9940
137318cbb01c6
14364559084a4
151ae73aeb06c
hexe86988b800

998202980352 has 96 divisors (see below), whose sum is σ = 2676610394640. Its totient is φ = 330810654720.

The previous prime is 998202980311. The next prime is 998202980353. The reversal of 998202980352 is 253089202899.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 998202980292 and 998202980301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (998202980353) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 593352 + ... + 1532472.

Almost surely, 2998202980352 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 998202980352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1338305197320).

998202980352 is an abundant number, since it is smaller than the sum of its proper divisors (1678407414288).

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

998202980352 is a wasteful number, since it uses less digits than its factorization.

998202980352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 939319 (or 939299 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 57.

The spelling of 998202980352 in words is "nine hundred ninety-eight billion, two hundred two million, nine hundred eighty thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 173 192 256 346 384 512 519 692 768 1024 1038 1384 1536 2048 2076 2768 3072 4152 5536 6144 8304 11072 16608 22144 33216 44288 66432 88576 132864 177152 265728 354304 531456 939121 1062912 1878242 2817363 3756484 5634726 7512968 11269452 15025936 22538904 30051872 45077808 60103744 90155616 120207488 162467933 180311232 240414976 324935866 360622464 480829952 487403799 649871732 721244928 961659904 974807598 1299743464 1442489856 1923319808 1949615196 2599486928 2884979712 3899230392 5198973856 5769959424 7798460784 10397947712 15596921568 20795895424 31193843136 41591790848 62387686272 83183581696 124775372544 166367163392 249550745088 332734326784 499101490176 998202980352