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9995017165050 = 23523116131332589
BaseRepresentation
bin1001000101110010010101…
…1100101001100011111010
31022101111212221011000021210
42101130211130221203322
52302224243343240200
633131351505343550
72051054562060561
oct221344534514372
938344787130253
109995017165050
113203954690405
121155127037bb6
135766aba29888
14267a93458bd8
15124ed777c650
hex917257298fa

9995017165050 has 96 divisors (see below), whose sum is σ = 25603126295040. Its totient is φ = 2577758227200.

The previous prime is 9995017165039. The next prime is 9995017165051. The reversal of 9995017165050 is 505617105999.

9995017165050 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×99950171650503 (a number of 40 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (9995017165051) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6834156 + ... + 8166744.

It is an arithmetic number, because the mean of its divisors is an integer number (266699232240).

Almost surely, 29995017165050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9995017165050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12801563147520).

9995017165050 is an abundant number, since it is smaller than the sum of its proper divisors (15608109129990).

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

9995017165050 is a wasteful number, since it uses less digits than its factorization.

9995017165050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1334248 (or 1334243 counting only the distinct ones).

The product of its (nonzero) digits is 3827250, while the sum is 57.

The spelling of 9995017165050 in words is "nine trillion, nine hundred ninety-five billion, seventeen million, one hundred sixty-five thousand, fifty".

Divisors: 1 2 3 5 6 10 15 25 30 31 50 62 75 93 150 155 186 310 465 775 930 1550 1613 2325 3226 4650 4839 8065 9678 16130 24195 40325 48390 50003 80650 100006 120975 150009 241950 250015 300018 500030 750045 1250075 1332589 1500090 2500150 2665178 3750225 3997767 6662945 7500450 7995534 13325890 19988835 33314725 39977670 41310259 66629450 82620518 99944175 123930777 199888350 206551295 247861554 413102590 619653885 1032756475 1239307770 2065512950 2149466057 3098269425 4298932114 6196538850 6448398171 10747330285 12896796342 21494660570 32241990855 53736651425 64483981710 66633447767 107473302850 133266895534 161209954275 199900343301 322419908550 333167238835 399800686602 666334477670 999501716505 1665836194175 1999003433010 3331672388350 4997508582525 9995017165050