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147116804364 = 223101394481
BaseRepresentation
bin1000100100000011011…
…0000100100100001100
3112001201211020000000000
42021000312010210030
54402243400214424
6151330131404300
713425456130035
oct2110066044414
9461654200000
10147116804364
1157434667642
1224619153690
1310b4714343a
1471988b1a8c
153c6090e3c9
hex2240d8490c

147116804364 has 132 divisors (see below), whose sum is σ = 389044502280. Its totient is φ = 48675271680.

The previous prime is 147116804327. The next prime is 147116804383. The reversal of 147116804364 is 463408611741.

147116804364 is a `hidden beast` number, since 1 + 471 + 1 + 6 + 80 + 43 + 64 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 43 ways as a sum of consecutive naturals, for example, 32829004 + ... + 32833484.

Almost surely, 2147116804364 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 147116804364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194522251140).

147116804364 is an abundant number, since it is smaller than the sum of its proper divisors (241927697916).

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

147116804364 is an equidigital number, since it uses as much as digits as its factorization.

147116804364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4654 (or 4625 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 147116804364 in words is "one hundred forty-seven billion, one hundred sixteen million, eight hundred four thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 139 162 243 278 324 417 486 556 729 834 972 1251 1458 1668 2187 2502 2916 3753 4374 4481 5004 6561 7506 8748 8962 11259 13122 13443 15012 17924 19683 22518 26244 26886 33777 39366 40329 45036 53772 59049 67554 78732 80658 101331 118098 120987 135108 161316 202662 236196 241974 303993 362961 405324 483948 607986 622859 725922 911979 1088883 1215972 1245718 1451844 1823958 1868577 2177766 2491436 2735937 3266649 3647916 3737154 4355532 5471874 5605731 6533298 7474308 8207811 9799947 10943748 11211462 13066596 16415622 16817193 19599894 22422924 29399841 32831244 33634386 39199788 50451579 58799682 67268772 88199523 100903158 117599364 151354737 176399046 201806316 264598569 302709474 352798092 454064211 529197138 605418948 908128422 1058394276 1362192633 1816256844 2724385266 4086577899 5448770532 8173155798 12259733697 16346311596 24519467394 36779201091 49038934788 73558402182 147116804364