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10325210016 = 253119777661
BaseRepresentation
bin10011001110110111…
…00011001110100000
3222122120201000101210
421213123203032200
5132121223210031
64424321030120
7513603560052
oct114733431640
928576630353
1010325210016
114419348120
122001a85340
13c871a3c34
146dd4198d2
154066eb746
hex2676e33a0

10325210016 has 48 divisors (see below), whose sum is σ = 29567649888. Its totient is φ = 3128851200.

The previous prime is 10325209997. The next prime is 10325210029. The reversal of 10325210016 is 61001252301.

10325210016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 10325209974 and 10325210001.

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 7 ways as a sum of consecutive naturals, for example, 4887775 + ... + 4889886.

It is an arithmetic number, because the mean of its divisors is an integer number (615992706).

Almost surely, 210325210016 is an apocalyptic number.

10325210016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10325210016 is an abundant number, since it is smaller than the sum of its proper divisors (19242439872).

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

10325210016 is a wasteful number, since it uses less digits than its factorization.

10325210016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9777685 (or 9777677 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

Adding to 10325210016 its reverse (61001252301), we get a palindrome (71326462317).

The spelling of 10325210016 in words is "ten billion, three hundred twenty-five million, two hundred ten thousand, sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 9777661 19555322 29332983 39110644 58665966 78221288 107554271 117331932 156442576 215108542 234663864 312885152 322662813 430217084 469327728 645325626 860434168 938655456 1290651252 1720868336 2581302504 3441736672 5162605008 10325210016