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2197114232832 = 21334173161103
BaseRepresentation
bin11111111110001110001…
…101101010000000000000
321210001010200001101010000
4133332032031222000000
5241444142220422312
64401201303040000
7314510352560511
oct37761615520000
97701120041100
102197114232832
11777877784442
122b5995140000
1312c257a56bbc
14784ab5c2a08
153c242e24adc
hex1ff8e36a000

2197114232832 has 1120 divisors, whose sum is σ = 7362517054464. Its totient is φ = 649750118400.

The previous prime is 2197114232821. The next prime is 2197114232851. The reversal of 2197114232832 is 2382324117912.

2197114232832 is a `hidden beast` number, since 2 + 197 + 1 + 1 + 423 + 2 + 8 + 32 = 666.

It is a super-2 number, since 2×21971142328322 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 21331206093 + ... + 21331206195.

Almost surely, 22197114232832 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 2197114232832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3681258527232).

2197114232832 is an abundant number, since it is smaller than the sum of its proper divisors (5165402821632).

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

2197114232832 is a wasteful number, since it uses less digits than its factorization.

2197114232832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 217 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The spelling of 2197114232832 in words is "two trillion, one hundred ninety-seven billion, one hundred fourteen million, two hundred thirty-two thousand, eight hundred thirty-two".