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30729443460 = 22354353224729
BaseRepresentation
bin11100100111100111…
…100001100010000100
32221022120212110200120
4130213213201202010
51000413214142320
622041130341540
72135334650112
oct344747414204
987276773616
1030729443460
1112039a73771
125b5728a8b0
132b89543051
1416b7288ab2
15becbb5440
hex7279e1884

30729443460 has 96 divisors (see below), whose sum is σ = 89705024640. Its totient is φ = 7852895232.

The previous prime is 30729443447. The next prime is 30729443467. The reversal of 30729443460 is 6434492703.

It is a happy number.

It is a super-2 number, since 2×307294434602 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (30729443467) 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, 24376 + ... + 249104.

It is an arithmetic number, because the mean of its divisors is an integer number (934427340).

Almost surely, 230729443460 is an apocalyptic number.

30729443460 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30729443460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44852512320).

30729443460 is an abundant number, since it is smaller than the sum of its proper divisors (58975581180).

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

30729443460 is a wasteful number, since it uses less digits than its factorization.

30729443460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224837 (or 224835 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 42.

The spelling of 30729443460 in words is "thirty billion, seven hundred twenty-nine million, four hundred forty-three thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 43 53 60 86 106 129 159 172 212 215 258 265 318 430 516 530 636 645 795 860 1060 1290 1590 2279 2580 3180 4558 6837 9116 11395 13674 22790 27348 34185 45580 68370 136740 224729 449458 674187 898916 1123645 1348374 2247290 2696748 3370935 4494580 6741870 9663347 11910637 13483740 19326694 23821274 28990041 35731911 38653388 47642548 48316735 57980082 59553185 71463822 96633470 115960164 119106370 142927644 144950205 178659555 193266940 238212740 289900410 357319110 512157391 579800820 714638220 1024314782 1536472173 2048629564 2560786955 3072944346 5121573910 6145888692 7682360865 10243147820 15364721730 30729443460