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30489745664 = 287193132861
BaseRepresentation
bin11100011001010101…
…001001100100000000
32220200212211120010102
4130121111021210000
5444420333330124
622001245021532
72126364363530
oct343125114400
986625746112
1030489745664
1111a26737214
125aaab548a8
132b4b999931
1416934d14c0
15bd6b18aae
hex719549900

30489745664 has 144 divisors (see below), whose sum is σ = 73475095680. Its totient is φ = 12335431680.

The previous prime is 30489745567. The next prime is 30489745669. The reversal of 30489745664 is 46654798403.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is not an unprimeable number, because it can be changed into a prime (30489745669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10655594 + ... + 10658454.

It is an arithmetic number, because the mean of its divisors is an integer number (510243720).

Almost surely, 230489745664 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 30489745664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36737547840).

30489745664 is an abundant number, since it is smaller than the sum of its proper divisors (42985350016).

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

30489745664 is a wasteful number, since it uses less digits than its factorization.

30489745664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3216 (or 3202 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 56.

The spelling of 30489745664 in words is "thirty billion, four hundred eighty-nine million, seven hundred forty-five thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 112 128 133 152 224 256 266 304 313 448 532 608 626 896 1064 1216 1252 1792 2128 2191 2432 2504 2861 4256 4382 4864 5008 5722 5947 8512 8764 10016 11444 11894 17024 17528 20027 20032 22888 23788 34048 35056 40054 40064 41629 45776 47576 54359 70112 80108 80128 83258 91552 95152 108718 140224 160216 166516 183104 190304 217436 280448 320432 333032 366208 380513 380608 434872 560896 640864 666064 732416 761026 761216 869744 895493 1281728 1332128 1522052 1522432 1739488 1790986 2563456 2664256 3044104 3478976 3581972 5126912 5328512 6088208 6268451 6957952 7163944 10657024 12176416 12536902 13915904 14327888 17014367 24352832 25073804 28655776 34028734 48705664 50147608 57311552 68057468 97411328 100295216 114623104 119100569 136114936 200590432 229246208 238201138 272229872 401180864 476402276 544459744 802361728 952804552 1088919488 1604723456 1905609104 2177838976 3811218208 4355677952 7622436416 15244872832 30489745664