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30050525664 = 2534109106363
BaseRepresentation
bin11011111111001001…
…101010000111100000
32212120021100212120000
4123333021222013200
5443020413310124
621445515020000
72112452152665
oct337711520740
985507325500
1030050525664
1111820813785
1259a7a3a600
132aab9a5843
14165103ba6c
15bad2a96c9
hex6ff26a1e0

30050525664 has 120 divisors (see below), whose sum is σ = 89189404920. Its totient is φ = 9924850944.

The previous prime is 30050525633. The next prime is 30050525669. The reversal of 30050525664 is 46652505003.

It is a happy number.

It is a super-3 number, since 3×300505256643 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30050525669) 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 19 ways as a sum of consecutive naturals, for example, 229347 + ... + 335709.

It is an arithmetic number, because the mean of its divisors is an integer number (743245041).

Almost surely, 230050525664 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 30050525664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44594702460).

30050525664 is an abundant number, since it is smaller than the sum of its proper divisors (59138879256).

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

30050525664 is a wasteful number, since it uses less digits than its factorization.

30050525664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106494 (or 106477 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The spelling of 30050525664 in words is "thirty billion, fifty million, five hundred twenty-five thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 109 144 162 216 218 288 324 327 432 436 648 654 864 872 981 1296 1308 1744 1962 2592 2616 2943 3488 3924 5232 5886 7848 8829 10464 11772 15696 17658 23544 31392 35316 47088 70632 94176 106363 141264 212726 282528 319089 425452 638178 850904 957267 1276356 1701808 1914534 2552712 2871801 3403616 3829068 5105424 5743602 7658136 8615403 10210848 11487204 11593567 15316272 17230806 22974408 23187134 30632544 34461612 34780701 45948816 46374268 68923224 69561402 91897632 92748536 104342103 137846448 139122804 185497072 208684206 275692896 278245608 313026309 370994144 417368412 556491216 626052618 834736824 939078927 1112982432 1252105236 1669473648 1878157854 2504210472 3338947296 3756315708 5008420944 7512631416 10016841888 15025262832 30050525664