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2159322938460 = 223251723312573851
BaseRepresentation
bin11111011011000001101…
…011010011110001011100
321122102120221001201010200
4133123001223103301130
5240334243133012320
64331551304303500
7312002015064642
oct37330153236134
97572527051120
102159322938460
11762844561656
122aa5a8a71b90
1312881446365c
14767244bb192
153b2802c9290
hex1f6c1ad3c5c

2159322938460 has 576 divisors, whose sum is σ = 7501227761664. Its totient is φ = 499580928000.

The previous prime is 2159322938449. The next prime is 2159322938497. The reversal of 2159322938460 is 648392239512.

2159322938460 is a `hidden beast` number, since 2 + 1 + 5 + 93 + 2 + 2 + 93 + 8 + 460 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2159322938397 and 2159322938406.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 560715535 + ... + 560719385.

It is an arithmetic number, because the mean of its divisors is an integer number (13022964864).

Almost surely, 22159322938460 is an apocalyptic number.

2159322938460 is a gapful number since it is divisible by the number (20) 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 2159322938460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3750613880832).

2159322938460 is an abundant number, since it is smaller than the sum of its proper divisors (5341904823204).

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

2159322938460 is a wasteful number, since it uses less digits than its factorization.

2159322938460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4194 (or 4189 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 2159322938460 in words is "two trillion, one hundred fifty-nine billion, three hundred twenty-two million, nine hundred thirty-eight thousand, four hundred sixty".