Search a number
-
+
30561336080 = 2451157160821
BaseRepresentation
bin11100011101100110…
…001111101100010000
32220212212112201201022
4130131212033230100
51000042200223310
622012323255012
72131224033122
oct343546175420
986785481638
1030561336080
1111a63094150
125b0ab1a468
132b60774322
14169cc09212
15bdd05aa55
hex71d98fb10

30561336080 has 80 divisors (see below), whose sum is σ = 77651690688. Its totient is φ = 11093568000.

The previous prime is 30561336079. The next prime is 30561336083. The reversal of 30561336080 is 8063316503.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 30561336080.

It is not an unprimeable number, because it can be changed into a prime (30561336083) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 472070 + ... + 532890.

Almost surely, 230561336080 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 30561336080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38825845344).

30561336080 is an abundant number, since it is smaller than the sum of its proper divisors (47090354608).

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

30561336080 is a wasteful number, since it uses less digits than its factorization.

30561336080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61416 (or 61410 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 35.

The spelling of 30561336080 in words is "thirty billion, five hundred sixty-one million, three hundred thirty-six thousand, eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 571 880 1142 2284 2855 4568 5710 6281 9136 11420 12562 22840 25124 31405 45680 50248 60821 62810 100496 121642 125620 243284 251240 304105 486568 502480 608210 669031 973136 1216420 1338062 2432840 2676124 3345155 4865680 5352248 6690310 10704496 13380620 26761240 34728791 53522480 69457582 138915164 173643955 277830328 347287910 382016701 555660656 694575820 764033402 1389151640 1528066804 1910083505 2778303280 3056133608 3820167010 6112267216 7640334020 15280668040 30561336080