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9997795080 = 23325713615003
BaseRepresentation
bin10010100111110101…
…00011111100001000
3221210202121121112200
421103322203330020
5130433413420310
64332023240200
7502516566420
oct112372437410
927722547480
109997795080
114270549469
121b302a9060
13c343c79a0
146abb4b480
153d7ac49c0
hex253ea3f08

9997795080 has 384 divisors, whose sum is σ = 40654897920. Its totient is φ = 2074429440.

The previous prime is 9997795063. The next prime is 9997795091. The reversal of 9997795080 is 805977999.

9997795080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 9997794999 and 9997795017.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1995859 + ... + 2000861.

It is an arithmetic number, because the mean of its divisors is an integer number (105872130).

Almost surely, 29997795080 is an apocalyptic number.

9997795080 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9997795080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20327448960).

9997795080 is an abundant number, since it is smaller than the sum of its proper divisors (30657102840).

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

9997795080 is a wasteful number, since it uses less digits than its factorization.

9997795080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5101 (or 5094 counting only the distinct ones).

The product of its (nonzero) digits is 12859560, while the sum is 63.

The square root of 9997795080 is about 99988.9747922240. The cubic root of 9997795080 is about 2154.2763331879.

The spelling of 9997795080 in words is "nine billion, nine hundred ninety-seven million, seven hundred ninety-five thousand, eighty".