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331112788048 = 24723179718087
BaseRepresentation
bin1001101000101111101…
…11000011000001010000
31011122122211010102100101
410310113313003001100
520411104333204143
6412040000102144
732631166155250
oct4642767030120
91148584112311
10331112788048
1111847359a479
1254209004954
13252ba901273
1412051297960
15892dd47b4d
hex4d17dc3050

331112788048 has 80 divisors (see below), whose sum is σ = 769330759680. Its totient is φ = 134977189248.

The previous prime is 331112788003. The next prime is 331112788051. The reversal of 331112788048 is 840887211133.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a junction number, because it is equal to n+sod(n) for n = 331112787989 and 331112788007.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102061 + ... + 820147.

It is an arithmetic number, because the mean of its divisors is an integer number (9616634496).

Almost surely, 2331112788048 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 331112788048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384665379840).

331112788048 is an abundant number, since it is smaller than the sum of its proper divisors (438217971632).

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

331112788048 is a wasteful number, since it uses less digits than its factorization.

331112788048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 718304 (or 718298 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 46.

The spelling of 331112788048 in words is "three hundred thirty-one billion, one hundred twelve million, seven hundred eighty-eight thousand, forty-eight".

Divisors: 1 2 4 7 8 14 16 23 28 46 56 92 112 161 179 184 322 358 368 644 716 1253 1288 1432 2506 2576 2864 4117 5012 8234 10024 16468 20048 28819 32936 57638 65872 115276 230552 461104 718087 1436174 2872348 5026609 5744696 10053218 11489392 16516001 20106436 33032002 40212872 66064004 80425744 115612007 128537573 132128008 231224014 257075146 264256016 462448028 514150292 899763011 924896056 1028300584 1799526022 1849792112 2056601168 2956364179 3599052044 5912728358 7198104088 11825456716 14396208176 20694549253 23650913432 41389098506 47301826864 82778197012 165556394024 331112788048