Search a number
-
+
30671128680 = 23351767224401
BaseRepresentation
bin11100100100001001…
…000100100001101000
32221011112010202211220
4130210021010201220
51000303302104210
622031244422040
72134026202143
oct344411044150
987145122756
1030671128680
111200a063a35
125b3b847920
132b7a43616a
1416ad62905a
15be79e6c70
hex724244868

30671128680 has 128 divisors (see below), whose sum is σ = 98880497280. Its totient is φ = 7582924800.

The previous prime is 30671128667. The next prime is 30671128703. The reversal of 30671128680 is 8682117603.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24480 + ... + 248880.

It is an arithmetic number, because the mean of its divisors is an integer number (772503885).

Almost surely, 230671128680 is an apocalyptic number.

30671128680 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 30671128680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49440248640).

30671128680 is an abundant number, since it is smaller than the sum of its proper divisors (68209368600).

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

30671128680 is a wasteful number, since it uses less digits than its factorization.

30671128680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224499 (or 224495 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The spelling of 30671128680 in words is "thirty billion, six hundred seventy-one million, one hundred twenty-eight thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 67 68 85 102 120 134 136 170 201 204 255 268 335 340 402 408 510 536 670 680 804 1005 1020 1139 1340 1608 2010 2040 2278 2680 3417 4020 4556 5695 6834 8040 9112 11390 13668 17085 22780 27336 34170 45560 68340 136680 224401 448802 673203 897604 1122005 1346406 1795208 2244010 2692812 3366015 3814817 4488020 5385624 6732030 7629634 8976040 11444451 13464060 15034867 15259268 19074085 22888902 26928120 30069734 30518536 38148170 45104601 45777804 57222255 60139468 75174335 76296340 90209202 91555608 114444510 120278936 150348670 152592680 180418404 225523005 228889020 255592739 300697340 360836808 451046010 457778040 511185478 601394680 766778217 902092020 1022370956 1277963695 1533556434 1804184040 2044741912 2555927390 3067112868 3833891085 5111854780 6134225736 7667782170 10223709560 15335564340 30671128680