Search a number
-
+
30089856864 = 2533131332303
BaseRepresentation
bin11100000001011111…
…101100011101100000
32212200000101002211010
4130001133230131200
5443111000404424
621453442020520
72113440364134
oct340137543540
985600332733
1030089856864
1111840a37901
1259b9047740
132ab6b96b42
1416563593c4
15bb1978229
hex7017ec760

30089856864 has 96 divisors (see below), whose sum is σ = 81796829184. Its totient is φ = 9675095040.

The previous prime is 30089856857. The next prime is 30089856869. The reversal of 30089856864 is 46865898003.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30089856869) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 915337 + ... + 947639.

It is an arithmetic number, because the mean of its divisors is an integer number (852050304).

Almost surely, 230089856864 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 30089856864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40898414592).

30089856864 is an abundant number, since it is smaller than the sum of its proper divisors (51706972320).

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

30089856864 is a wasteful number, since it uses less digits than its factorization.

30089856864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32660 (or 32652 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 57.

The spelling of 30089856864 in words is "thirty billion, eighty-nine million, eight hundred fifty-six thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 313 372 496 626 744 939 992 1252 1488 1878 2504 2976 3756 5008 7512 9703 10016 15024 19406 29109 30048 32303 38812 58218 64606 77624 96909 116436 129212 155248 193818 232872 258424 310496 387636 465744 516848 775272 931488 1001393 1033696 1550544 2002786 3004179 3101088 4005572 6008358 8011144 10110839 12016716 16022288 20221678 24033432 30332517 32044576 40443356 48066864 60665034 80886712 96133728 121330068 161773424 242660136 313436009 323546848 485320272 626872018 940308027 970640544 1253744036 1880616054 2507488072 3761232108 5014976144 7522464216 10029952288 15044928432 30089856864