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30699406944 = 25356016569
BaseRepresentation
bin11100100101110100…
…111100011001100000
32221020111100110100000
4130211310330121200
51000333022010234
622034134500000
72134521440103
oct344564743140
987214313300
1030699406944
11120240188a8
125b49204600
132b8325756b
1416b32aa73a
15bea230899
hex725d3c660

30699406944 has 144 divisors (see below), whose sum is σ = 90699270480. Its totient is φ = 10214553600.

The previous prime is 30699406891. The next prime is 30699406951. The reversal of 30699406944 is 44960499603.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×306994069443 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 23 ways as a sum of consecutive naturals, for example, 4670092 + ... + 4676660.

It is an arithmetic number, because the mean of its divisors is an integer number (629856045).

Almost surely, 230699406944 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 30699406944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45349635240).

30699406944 is an abundant number, since it is smaller than the sum of its proper divisors (59999863536).

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

30699406944 is an equidigital number, since it uses as much as digits as its factorization.

30699406944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7195 (or 7175 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 54.

The spelling of 30699406944 in words is "thirty billion, six hundred ninety-nine million, four hundred six thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 601 648 864 972 1202 1296 1803 1944 2404 2592 3606 3888 4808 5409 6569 7212 7776 9616 10818 13138 14424 16227 19232 19707 21636 26276 28848 32454 39414 43272 48681 52552 57696 59121 64908 78828 86544 97362 105104 118242 129816 146043 157656 173088 177363 194724 210208 236484 259632 292086 315312 354726 389448 472968 519264 532089 584172 630624 709452 778896 945936 1064178 1168344 1418904 1557792 1596267 1891872 2128356 2336688 2837808 3192534 3947969 4256712 4673376 5675616 6385068 7895938 8513424 11843907 12770136 15791876 17026848 23687814 25540272 31583752 35531721 47375628 51080544 63167504 71063442 94751256 106595163 126335008 142126884 189502512 213190326 284253768 319785489 379005024 426380652 568507536 639570978 852761304 959356467 1137015072 1279141956 1705522608 1918712934 2558283912 3411045216 3837425868 5116567824 7674851736 10233135648 15349703472 30699406944