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20627602047360 = 27325711436171753
BaseRepresentation
bin1001011000010101111001…
…11001001000000110000000
32201000222110001102211220100
410230022330321020012000
510200430312111003420
6111512104540042400
74226203131300120
oct454127471100600
981028401384810
1020627602047360
116633131660320
122391926233400
13b68236586539
1451454a2a0c80
1525b88805d190
hex12c2bce48180

20627602047360 has 1536 divisors, whose sum is σ = 91070297809920. Its totient is φ = 4177404887040.

The previous prime is 20627602047313. The next prime is 20627602047379. The reversal of 20627602047360 is 6374020672602.

20627602047360 is a `hidden beast` number, since 2 + 0 + 6 + 2 + 7 + 602 + 0 + 4 + 7 + 36 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 11767028244 + ... + 11767029996.

It is an arithmetic number, because the mean of its divisors is an integer number (59290558470).

Almost surely, 220627602047360 is an apocalyptic number.

20627602047360 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 20627602047360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45535148904960).

20627602047360 is an abundant number, since it is smaller than the sum of its proper divisors (70442695762560).

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

20627602047360 is a wasteful number, since it uses less digits than its factorization.

20627602047360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2456 (or 2441 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 45.

The spelling of 20627602047360 in words is "twenty trillion, six hundred twenty-seven billion, six hundred two million, forty-seven thousand, three hundred sixty".