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331321611328 = 2637712238837
BaseRepresentation
bin1001101001001000100…
…11101001010001000000
31011200012101001202000221
410310210103221101000
520412021313030303
6412112415552424
732636313141421
oct4644423512100
91150171052027
10331321611328
111185704594a4
1254266b2b714
1325321c57636
1412070cd5648
1589423464bd
hex4d244e9440

331321611328 has 112 divisors (see below), whose sum is σ = 687894488064. Its totient is φ = 158182778880.

The previous prime is 331321611311. The next prime is 331321611343. The reversal of 331321611328 is 823116123133.

It is a junction number, because it is equal to n+sod(n) for n = 331321611293 and 331321611302.

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, 37488126 + ... + 37496962.

It is an arithmetic number, because the mean of its divisors is an integer number (6141915072).

Almost surely, 2331321611328 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 331321611328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343947244032).

331321611328 is an abundant number, since it is smaller than the sum of its proper divisors (356572876736).

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

331321611328 is a wasteful number, since it uses less digits than its factorization.

331321611328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9180 (or 9170 counting only the distinct ones).

The product of its digits is 15552, while the sum is 34.

The spelling of 331321611328 in words is "three hundred thirty-one billion, three hundred twenty-one million, six hundred eleven thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 16 32 37 64 71 74 142 148 223 284 296 446 568 592 892 1136 1184 1784 2272 2368 2627 3568 4544 5254 7136 8251 8837 10508 14272 15833 16502 17674 21016 31666 33004 35348 42032 63332 66008 70696 84064 126664 132016 141392 168128 253328 264032 282784 326969 506656 528064 565568 585821 627427 653938 1013312 1171642 1254854 1307876 1970651 2343284 2509708 2615752 3941302 4686568 5019416 5231504 7882604 9373136 10038832 10463008 15765208 18746272 20077664 20926016 23214799 31530416 37492544 40155328 46429598 63060832 72914087 92859196 126121664 139916221 145828174 185718392 279832442 291656348 371436784 559664884 583312696 742873568 1119329768 1166625392 1485747136 2238659536 2333250784 4477319072 4666501568 5176900177 8954638144 10353800354 20707600708 41415201416 82830402832 165660805664 331321611328