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30725029242 = 2336710779367
BaseRepresentation
bin11100100111010110…
…101011110101111010
32221022021120012112000
4130213112223311322
51000411101413432
622040452001430
72135252303505
oct344726536572
987267505460
1030725029242
1112037529256
125b55900276
132b88658a9b
1416b685a13c
15bec5e257c
hex7275abd7a

30725029242 has 64 divisors (see below), whose sum is σ = 69945431040. Its totient is φ = 9994401648.

The previous prime is 30725029241. The next prime is 30725029267. The reversal of 30725029242 is 24292052703.

30725029242 is a `hidden beast` number, since 307 + 25 + 0 + 292 + 42 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 30725029197 and 30725029206.

It is not an unprimeable number, because it can be changed into a prime (30725029241) 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, 347443 + ... + 426809.

It is an arithmetic number, because the mean of its divisors is an integer number (1092897360).

Almost surely, 230725029242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30725029242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34972715520).

30725029242 is an abundant number, since it is smaller than the sum of its proper divisors (39220401798).

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

30725029242 is a wasteful number, since it uses less digits than its factorization.

30725029242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79552 (or 79546 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 30725029242 in words is "thirty billion, seven hundred twenty-five million, twenty-nine thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 67 107 134 201 214 321 402 603 642 963 1206 1809 1926 2889 3618 5778 7169 14338 21507 43014 64521 79367 129042 158734 193563 238101 387126 476202 714303 1428606 2142909 4285818 5317589 8492269 10635178 15952767 16984538 25476807 31905534 47858301 50953614 76430421 95716602 143574903 152860842 229291263 287149806 458582526 568982023 1137964046 1706946069 3413892138 5120838207 10241676414 15362514621 30725029242