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149379058566 = 232192103307727
BaseRepresentation
bin1000101100011110101…
…1111000101110000110
3112021120111001102100200
42023013223320232012
54421412014333231
6152342423351330
713535516022243
oct2130753705606
9467514042320
10149379058566
1158395647711
1224b4a8b2546
1311117a30aaa
1473311165ca
153d44326be6
hex22c7af8b86

149379058566 has 144 divisors (see below), whose sum is σ = 346501419264. Its totient is φ = 46498139424.

The previous prime is 149379058553. The next prime is 149379058583. The reversal of 149379058566 is 665850973941.

149379058566 is a `hidden beast` number, since 1 + 49 + 3 + 7 + 9 + 0 + 585 + 6 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 205472895 + ... + 205473621.

It is an arithmetic number, because the mean of its divisors is an integer number (2406259856).

Almost surely, 2149379058566 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149379058566, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173250709632).

149379058566 is an abundant number, since it is smaller than the sum of its proper divisors (197122360698).

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

149379058566 is a wasteful number, since it uses less digits than its factorization.

149379058566 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1183 (or 1161 counting only the distinct ones).

The product of its (nonzero) digits is 48988800, while the sum is 63.

The spelling of 149379058566 in words is "one hundred forty-nine billion, three hundred seventy-nine million, fifty-eight thousand, five hundred sixty-six".

Divisors: 1 2 3 6 9 18 19 38 57 103 114 171 206 307 309 342 361 614 618 722 727 921 927 1083 1454 1842 1854 1957 2166 2181 2763 3249 3914 4362 5526 5833 5871 6498 6543 11666 11742 13086 13813 17499 17613 27626 31621 34998 35226 37183 41439 52497 63242 74366 74881 82878 94863 104994 110827 111549 124317 149762 189726 221654 223098 223189 224643 248634 262447 284589 332481 334647 446378 449286 524894 569178 600799 664962 669294 669567 673929 787341 997443 1201598 1339134 1347858 1422739 1574682 1802397 1994886 2008701 2362023 2845478 3604794 4017402 4240591 4268217 4724046 5407191 8481182 8536434 10814382 11415181 12721773 12804651 22830362 22988467 25443546 25609302 27032041 34245543 38165319 45976934 54064082 68491086 68965401 76330638 80571229 81096123 102736629 137930802 161142458 162192246 205473258 206896203 241713687 243288369 413792406 436780873 483427374 486576738 725141061 873561746 1310342619 1450282122 2620685238 3931027857 7862055714 8298836587 16597673174 24896509761 49793019522 74689529283 149379058566