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136331161084328 = 237172233971617569
BaseRepresentation
bin11110111111111000010010…
…011011011010000110101000
3122212201010120000112222001112
4132333320102123122012220
5120332122204214144303
61201541400520205452
740500413156041550
oct3677702233320650
9585633500488045
10136331161084328
113a4917a2316831
1213359a86009888
135b0bc86526002
14259466b818160
1510b64467190d8
hex7bfe126da1a8

136331161084328 has 128 divisors (see below), whose sum is σ = 311492737382400. Its totient is φ = 54606196998144.

The previous prime is 136331161084301. The next prime is 136331161084387. The reversal of 136331161084328 is 823480161133631.

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, 83472728 + ... + 85090296.

It is an arithmetic number, because the mean of its divisors is an integer number (2433537010800).

Almost surely, 2136331161084328 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 136331161084328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155746368691200).

136331161084328 is an abundant number, since it is smaller than the sum of its proper divisors (175161576298072).

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

136331161084328 is a wasteful number, since it uses less digits than its factorization.

136331161084328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1618219 (or 1618215 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 50.

The spelling of 136331161084328 in words is "one hundred thirty-six trillion, three hundred thirty-one billion, one hundred sixty-one million, eighty-four thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 14 17 28 34 56 68 119 136 223 238 397 446 476 794 892 952 1561 1588 1784 2779 3122 3176 3791 5558 6244 6749 7582 11116 12488 13498 15164 22232 26537 26996 30328 47243 53074 53992 88531 94486 106148 177062 188972 212296 354124 377944 619717 708248 1239434 1505027 1617569 2478868 3010054 3235138 4957736 6020108 6470276 10535189 11322983 12040216 12940552 21070378 22645966 27498673 42140756 45291932 54997346 84281512 90583864 109994692 192490711 219989384 360717887 384981422 642174893 721435774 769962844 1284349786 1442871548 1539925688 2525025209 2568699572 2885743096 4495224251 5050050418 5137399144 6132204079 8990448502 10100100836 10916973181 12264408158 17980897004 20200201672 21833946362 24528816316 35961794008 42925428553 43667892724 49057632632 76418812267 85850857106 87335785448 143205001139 152837624534 171701714212 286410002278 305675249068 343403428424 572820004556 611350498136 1002435007973 1145640009112 2004870015946 2434485019363 4009740031892 4868970038726 8019480063784 9737940077452 17041395135541 19475880154904 34082790271082 68165580542164 136331161084328