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95240421945072 = 243219118289189337
BaseRepresentation
bin10101101001111011100011…
…100001001010111011110000
3110111012220011202111122200200
4111221323203201022323300
544440404341004220242
6534320502410515200
726026615304166345
oct2551734341127360
9414186152448620
1095240421945072
112838a266303498
12a822294735b00
13411b1969a9551
141973937b927cc
15b0264e0a504c
hex569ee384aef0

95240421945072 has 120 divisors (see below), whose sum is σ = 267952470539520. Its totient is φ = 31578700124160.

The previous prime is 95240421945043. The next prime is 95240421945083. The reversal of 95240421945072 is 27054912404259.

95240421945072 is a `hidden beast` number, since 9 + 5 + 2 + 4 + 0 + 42 + 1 + 94 + 507 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 502925988 + ... + 503115324.

It is an arithmetic number, because the mean of its divisors is an integer number (2232937254496).

Almost surely, 295240421945072 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 95240421945072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133976235269760).

95240421945072 is an abundant number, since it is smaller than the sum of its proper divisors (172712048594448).

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

95240421945072 is a wasteful number, since it uses less digits than its factorization.

95240421945072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207831 (or 207822 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 95240421945072 in words is "ninety-five trillion, two hundred forty billion, four hundred twenty-one million, nine hundred forty-five thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 191 382 573 764 1146 1528 1719 2292 3056 3438 4584 6876 9168 13752 18289 27504 36578 54867 73156 109734 146312 164601 189337 219468 292624 329202 378674 438936 568011 658404 757348 877872 1136022 1316808 1514696 1704033 2272044 2633616 3029392 3408066 3493199 4544088 6816132 6986398 9088176 10479597 13632264 13972796 20959194 27264528 27945592 31438791 36163367 41918388 55891184 62877582 72326734 83836776 108490101 125755164 144653468 167673552 216980202 251510328 289306936 325470303 433960404 503020656 578613872 650940606 867920808 1301881212 1735841616 2603762424 3462784393 5207524848 6925568786 10388353179 13851137572 20776706358 27702275144 31165059537 41553412716 55404550288 62330119074 83106825432 124660238148 166213650864 249320476296 498640952592 661391819063 1322783638126 1984175457189 2645567276252 3968350914378 5291134552504 5952526371567 7936701828756 10582269105008 11905052743134 15873403657512 23810105486268 31746807315024 47620210972536 95240421945072