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149846718936128 = 2697103147234957
BaseRepresentation
bin100010000100100011101000…
…011100111111010001000000
3201122120012120111002222001212
4202010203220130333101000
5124120042040021424003
61250410344330545252
743364032246205264
oct4204435034772100
9648505514088055
10149846718936128
1143822700386285
121498136ab98228
13657c63c607556
142900896dbc0a4
15124cccc78cdd8
hex8848e873f440

149846718936128 has 112 divisors (see below), whose sum is σ = 300833298321024. Its totient is φ = 74048406405120.

The previous prime is 149846718936121. The next prime is 149846718936193. The reversal of 149846718936128 is 821639817648941.

It is not an unprimeable number, because it can be changed into a prime (149846718936121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30229313426 + ... + 30229318382.

It is an arithmetic number, because the mean of its divisors is an integer number (2686011592152).

Almost surely, 2149846718936128 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 149846718936128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150416649160512).

149846718936128 is an abundant number, since it is smaller than the sum of its proper divisors (150986579384896).

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

149846718936128 is a wasteful number, since it uses less digits than its factorization.

149846718936128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10820 (or 10810 counting only the distinct ones).

The product of its digits is 1003290624, while the sum is 77.

The spelling of 149846718936128 in words is "one hundred forty-nine trillion, eight hundred forty-six billion, seven hundred eighteen million, nine hundred thirty-six thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 32 64 97 194 388 776 1031 1552 2062 3104 4124 4723 4957 6208 8248 9446 9914 16496 18892 19828 32992 37784 39656 65984 75568 79312 100007 151136 158624 200014 302272 317248 400028 458131 480829 800056 916262 961658 1600112 1832524 1923316 3200224 3665048 3846632 4869413 5110667 6400448 7330096 7693264 9738826 10221334 14660192 15386528 19477652 20442668 23411911 29320384 30773056 38955304 40885336 46823822 77910608 81770672 93647644 155821216 163541344 187295288 311642432 327082688 374590576 472333061 495734699 749181152 944666122 991469398 1498362304 1889332244 1982938796 2270955367 3778664488 3965877592 4541910734 7557328976 7931755184 9083821468 15114657952 15863510368 18167642936 24137680241 30229315904 31727020736 36335285872 48275360482 72670571744 96550720964 145341143488 193101441928 386202883856 772405767712 1544811535424 2341354983377 4682709966754 9365419933508 18730839867016 37461679734032 74923359468064 149846718936128