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20712524444352 = 2633131103835931
BaseRepresentation
bin1001011010110100000101…
…01010010111001011000000
32201100002122102220121011000
410231122002222113023000
510203323222224204402
6112015111413452000
74235300443615266
oct455320252271300
981302572817130
1020712524444352
116666150090094
1223a6286641000
13b7324b4488a0
145186c4a9a436
1525dba8754c1c
hex12d682a972c0

20712524444352 has 224 divisors, whose sum is σ = 65634438159360. Its totient is φ = 6367298872320.

The previous prime is 20712524444321. The next prime is 20712524444459. The reversal of 20712524444352 is 25344442521702.

20712524444352 is a `hidden beast` number, since 2 + 0 + 7 + 1 + 252 + 4 + 4 + 44 + 352 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 20712524444298 and 20712524444307.

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 31 ways as a sum of consecutive naturals, for example, 24359827 + ... + 25195757.

It is an arithmetic number, because the mean of its divisors is an integer number (293010884640).

Almost surely, 220712524444352 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 20712524444352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32817219079680).

20712524444352 is an abundant number, since it is smaller than the sum of its proper divisors (44921913715008).

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

20712524444352 is a wasteful number, since it uses less digits than its factorization.

20712524444352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 837068 (or 837052 counting only the distinct ones).

The product of its (nonzero) digits is 2150400, while the sum is 45.

The spelling of 20712524444352 in words is "twenty trillion, seven hundred twelve billion, five hundred twenty-four million, four hundred forty-four thousand, three hundred fifty-two".