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30505310208 = 2113561297
BaseRepresentation
bin11100011010010000…
…100001100000000000
32220201222010022200000
4130122100201200000
5444433324411313
622003002400000
72126643600312
oct343220414000
986658108600
1030505310208
1111a344a807a
125ab4200000
132b51c89219
1416955c37b2
15bd8190673
hex71a421800

30505310208 has 144 divisors (see below), whose sum is σ = 91369572840. Its totient is φ = 10168270848.

The previous prime is 30505310189. The next prime is 30505310243. The reversal of 30505310208 is 80201350503.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 467016 + ... + 528312.

Almost surely, 230505310208 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 30505310208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45684786420).

30505310208 is an abundant number, since it is smaller than the sum of its proper divisors (60864262632).

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

30505310208 is an frugal number, since it uses more digits than its factorization.

30505310208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61334 (or 61302 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The spelling of 30505310208 in words is "thirty billion, five hundred five million, three hundred ten thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 512 576 648 768 864 972 1024 1152 1296 1536 1728 1944 2048 2304 2592 3072 3456 3888 4608 5184 6144 6912 7776 9216 10368 13824 15552 18432 20736 27648 31104 41472 55296 61297 62208 82944 122594 124416 165888 183891 245188 248832 367782 490376 497664 551673 735564 980752 1103346 1471128 1655019 1961504 2206692 2942256 3310038 3923008 4413384 4965057 5884512 6620076 7846016 8826768 9930114 11769024 13240152 14895171 15692032 17653536 19860228 23538048 26480304 29790342 31384064 35307072 39720456 47076096 52960608 59580684 62768128 70614144 79440912 94152192 105921216 119161368 125536256 141228288 158881824 188304384 211842432 238322736 282456576 317763648 376608768 423684864 476645472 564913152 635527296 847369728 953290944 1129826304 1271054592 1694739456 1906581888 2542109184 3389478912 3813163776 5084218368 7626327552 10168436736 15252655104 30505310208