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30660577002 = 2351133117327
BaseRepresentation
bin11100100011100000…
…110100011011101010
32221010210021200200000
4130203200310123222
51000243101431002
622030230323430
72133540414216
oct344340643352
987123250600
1030660577002
1112004107340
125b381b9576
132b781b0473
1416ac07d946
15be6b1061c
hex7238346ea

30660577002 has 96 divisors (see below), whose sum is σ = 75385949184. Its totient is φ = 9262479600.

The previous prime is 30660576941. The next prime is 30660577007. The reversal of 30660577002 is 20077506603.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (30660577007) 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 47 ways as a sum of consecutive naturals, for example, 1760863 + ... + 1778189.

It is an arithmetic number, because the mean of its divisors is an integer number (785270304).

Almost surely, 230660577002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30660577002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37692974592).

30660577002 is an abundant number, since it is smaller than the sum of its proper divisors (44725372182).

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

30660577002 is a wasteful number, since it uses less digits than its factorization.

30660577002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17686 (or 17674 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The spelling of 30660577002 in words is "thirty billion, six hundred sixty million, five hundred seventy-seven thousand, two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 162 198 243 297 331 486 594 662 891 993 1782 1986 2673 2979 3641 5346 5958 7282 8937 10923 17327 17874 21846 26811 32769 34654 51981 53622 65538 80433 98307 103962 155943 160866 190597 196614 294921 311886 381194 467829 571791 589842 884763 935658 1143582 1403487 1715373 1769526 2806974 3430746 4210461 5146119 5735237 8420922 10292238 11470474 15438357 17205711 30876714 34411422 46315071 51617133 63087607 92630142 103234266 126175214 154851399 189262821 309702798 378525642 464554197 567788463 929108394 1135576926 1393662591 1703365389 2787325182 3406730778 5110096167 10220192334 15330288501 30660577002