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30377641216 = 281379227509
BaseRepresentation
bin11100010010101001…
…100000010100000000
32220102001220001201211
4130102221200110000
5444203134004331
621542202135504
72123533455436
oct342251402400
986361801654
1030377641216
111197942850a
125a794b1594
132b316a8740
14168266cd56
15bcbd728b1
hex712a60500

30377641216 has 144 divisors (see below), whose sum is σ = 66549369600. Its totient is φ = 13754916864.

The previous prime is 30377641187. The next prime is 30377641267. The reversal of 30377641216 is 61214677303.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59680770 + ... + 59681278.

It is an arithmetic number, because the mean of its divisors is an integer number (462148400).

Almost surely, 230377641216 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 30377641216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33274684800).

30377641216 is an abundant number, since it is smaller than the sum of its proper divisors (36171728384).

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

30377641216 is a wasteful number, since it uses less digits than its factorization.

30377641216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 844 (or 830 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 40.

The spelling of 30377641216 in words is "thirty billion, three hundred seventy-seven million, six hundred forty-one thousand, two hundred sixteen".

Divisors: 1 2 4 8 13 16 26 32 52 64 79 104 128 158 208 227 256 316 416 454 509 632 832 908 1018 1027 1264 1664 1816 2036 2054 2528 2951 3328 3632 4072 4108 5056 5902 6617 7264 8144 8216 10112 11804 13234 14528 16288 16432 17933 20224 23608 26468 29056 32576 32864 35866 40211 47216 52936 58112 65152 65728 71732 80422 94432 105872 115543 130304 131456 143464 160844 188864 211744 231086 233129 262912 286928 321688 377728 423488 462172 466258 522743 573856 643376 755456 846976 924344 932516 1045486 1147712 1286752 1502059 1693952 1848688 1865032 2090972 2295424 2573504 3004118 3697376 3730064 4181944 4590848 5147008 6008236 7394752 7460128 8363888 9127897 10294016 12016472 14789504 14920256 16727776 18255794 24032944 29579008 29840512 33455552 36511588 48065888 59681024 66911104 73023176 96131776 118662661 133822208 146046352 192263552 237325322 292092704 384527104 474650644 584185408 949301288 1168370816 1898602576 2336741632 3797205152 7594410304 15188820608 30377641216