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99340576016 = 24112293135653
BaseRepresentation
bin101110010000100101…
…0001110010100010000
3100111102012211010121012
41130201022032110100
53111422141413031
6113345245150052
710114515651413
oct1344112162420
9314365733535
1099340576016
1139148190100
1217304b5b328
1394a2009136
144b45649b7a
1528b63ceb2b
hex172128e510

99340576016 has 120 divisors (see below), whose sum is σ = 219593783640. Its totient is φ = 43450767360.

The previous prime is 99340576009. The next prime is 99340576031. The reversal of 99340576016 is 61067504399.

It can be written as a sum of positive squares in 4 ways, for example, as 4042416400 + 95298159616 = 63580^2 + 308704^2 .

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, 17570246 + ... + 17575898.

It is an arithmetic number, because the mean of its divisors is an integer number (1829948197).

Almost surely, 299340576016 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 99340576016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109796891820).

99340576016 is an abundant number, since it is smaller than the sum of its proper divisors (120253207624).

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

99340576016 is a wasteful number, since it uses less digits than its factorization.

99340576016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6025 (or 6008 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 50.

The spelling of 99340576016 in words is "ninety-nine billion, three hundred forty million, five hundred seventy-six thousand, sixteen".

Divisors: 1 2 4 8 11 16 22 29 44 58 88 116 121 176 232 242 313 319 464 484 626 638 968 1252 1276 1936 2504 2552 3443 3509 5008 5104 5653 6886 7018 9077 11306 13772 14036 18154 22612 27544 28072 36308 37873 45224 55088 56144 62183 72616 75746 90448 99847 124366 145232 151492 163937 199694 248732 302984 327874 399388 497464 605968 655748 684013 798776 994928 1098317 1311496 1368026 1597552 1769389 1803307 2196634 2622992 2736052 3538778 3606614 4393268 5472104 7077556 7213228 8786536 10944208 14155112 14426456 17573072 19463279 19836377 28310224 28852912 38926558 39672754 51312281 77853116 79345508 102624562 155706232 158691016 205249124 214096069 311412464 317382032 410498248 428192138 564435091 820996496 856384276 1128870182 1712768552 2257740364 3425537104 4515480728 6208786001 9030961456 12417572002 24835144004 49670288008 99340576016