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30666330492 = 223710329312097
BaseRepresentation
bin11100100011110110…
…110001000101111100
32221011012002222222020
4130203312301011330
51000301040033432
622030553520140
72133640336230
oct344366610574
987135088866
1030666330492
1112007386a96
125b3a113050
132b794461b5
1416acb3a5c0
15be739a22c
hex723db117c

30666330492 has 96 divisors (see below), whose sum is σ = 82859492352. Its totient is φ = 8646414336.

The previous prime is 30666330377. The next prime is 30666330493. The reversal of 30666330492 is 29403366603.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30666330493) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2528988 + ... + 2541084.

It is an arithmetic number, because the mean of its divisors is an integer number (863119712).

Almost surely, 230666330492 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 30666330492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41429746176).

30666330492 is an abundant number, since it is smaller than the sum of its proper divisors (52193161860).

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

30666330492 is a wasteful number, since it uses less digits than its factorization.

30666330492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12507 (or 12505 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 42.

The spelling of 30666330492 in words is "thirty billion, six hundred sixty-six million, three hundred thirty thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 103 206 293 309 412 586 618 721 879 1172 1236 1442 1758 2051 2163 2884 3516 4102 4326 6153 8204 8652 12097 12306 24194 24612 30179 36291 48388 60358 72582 84679 90537 120716 145164 169358 181074 211253 254037 338716 362148 422506 508074 633759 845012 1016148 1245991 1267518 2491982 2535036 3544421 3737973 4983964 7088842 7475946 8721937 10633263 14177684 14951892 17443874 21266526 24810947 26165811 34887748 42533052 49621894 52331622 74432841 99243788 104663244 148865682 297731364 365075363 730150726 1095226089 1460301452 2190452178 2555527541 4380904356 5111055082 7666582623 10222110164 15333165246 30666330492