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30669614664 = 233132113731249
BaseRepresentation
bin11100100100000011…
…010010111001001000
32221011102021212000020
4130210003102321020
51000302410132124
622031152140440
72134010265123
oct344403227110
987142255006
1030669614664
111200921a487
125b3b237720
132b7a025cb0
1416ad3533ba
15be77e8379
hex7240d2e48

30669614664 has 128 divisors (see below), whose sum is σ = 83252400000. Its totient is φ = 9359400960.

The previous prime is 30669614663. The next prime is 30669614669. The reversal of 30669614664 is 46641696603.

It is not an unprimeable number, because it can be changed into a prime (30669614663) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24554712 + ... + 24555960.

It is an arithmetic number, because the mean of its divisors is an integer number (650409375).

Almost surely, 230669614664 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 30669614664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41626200000).

30669614664 is an abundant number, since it is smaller than the sum of its proper divisors (52582785336).

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

30669614664 is a wasteful number, since it uses less digits than its factorization.

30669614664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1855 (or 1851 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 51.

The spelling of 30669614664 in words is "thirty billion, six hundred sixty-nine million, six hundred fourteen thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 211 312 373 422 633 746 844 1119 1249 1266 1492 1688 2238 2498 2532 2743 2984 3747 4476 4849 4996 5064 5486 7494 8229 8952 9698 9992 10972 14547 14988 16237 16458 19396 21944 29094 29976 32474 32916 38792 48711 58188 64948 65832 78703 97422 116376 129896 157406 194844 236109 263539 314812 389688 465877 472218 527078 629624 790617 931754 944436 1023139 1054156 1397631 1581234 1863508 1888872 2046278 2108312 2795262 3069417 3162468 3426007 3727016 4092556 5590524 6056401 6138834 6324936 6852014 8185112 10278021 11181048 12112802 12277668 13704028 18169203 20556042 24225604 24555336 27408056 36338406 41112084 48451208 72676812 82224168 98300047 145353624 196600094 294900141 393200188 589800282 786400376 1179600564 1277900611 2359201128 2555801222 3833701833 5111602444 7667403666 10223204888 15334807332 30669614664