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9995400528 = 2431987712497
BaseRepresentation
bin10010100111100010…
…11011010101010000
3221210121002221211120
421103301123111100
5130432310304103
64331500042240
7502460334261
oct112361332520
927717087746
109995400528
11426a1633a3
121b2b533380
13c33a69aa9
146ab6c6968
153d77a0253
hex253c5b550

9995400528 has 80 divisors (see below), whose sum is σ = 27213645120. Its totient is φ = 3152590848.

The previous prime is 9995400523. The next prime is 9995400553. The reversal of 9995400528 is 8250045999.

It is a Cunningham number, because it is equal to 999772-1.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9995400523) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 793576 + ... + 806072.

It is an arithmetic number, because the mean of its divisors is an integer number (340170564).

Almost surely, 29995400528 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 9995400528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13606822560).

9995400528 is an abundant number, since it is smaller than the sum of its proper divisors (17218244592).

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

9995400528 is a wasteful number, since it uses less digits than its factorization.

9995400528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13404 (or 13398 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 51.

The square root of 9995400528 is about 99976.9999949988. Note that the first 5 decimals coincide. The cubic root of 9995400528 is about 2154.1043306430.

The spelling of 9995400528 in words is "nine billion, nine hundred ninety-five million, four hundred thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 456 877 912 1754 2631 3508 5262 7016 10524 12497 14032 16663 21048 24994 33326 37491 42096 49988 49989 66652 74982 99976 99978 133304 149964 199952 199956 237443 266608 299928 399912 474886 599856 712329 799824 949772 1424658 1899544 2849316 3799088 5698632 10959869 11397264 21919738 32879607 43839476 65759214 87678952 131518428 175357904 208237511 263036856 416475022 526073712 624712533 832950044 1249425066 1665900088 2498850132 3331800176 4997700264 9995400528