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20093487595776 = 28347244472
BaseRepresentation
bin1001001000110011000010…
…01100001100000100000000
32122010220210200212102210000
410210121201030030010000
510113202430311031101
6110422453141440000
74142464232333100
oct444314114140400
978126720772700
1020093487595776
116447666a03491
122306304410000
13b29a6681b64a
144d675c409200
1524ca274be486
hex12466130c100

20093487595776 has 405 divisors, whose sum is σ = 69712885022319. Its totient is φ = 5739705474048.

The previous prime is 20093487595759. The next prime is 20093487595873. The reversal of 20093487595776 is 67759578439002.

The square root of 20093487595776 is 4482576.

It is a perfect power (a square), and thus also a powerful number.

20093487595776 is a `hidden beast` number, since 2 + 0 + 0 + 9 + 3 + 48 + 7 + 5 + 9 + 577 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 4518434385 + ... + 4518438831.

Almost surely, 220093487595776 is an apocalyptic number.

20093487595776 is the 4482576-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20093487595776

20093487595776 is an abundant number, since it is smaller than the sum of its proper divisors (49619397426543).

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

20093487595776 is an frugal number, since it uses more digits than its factorization.

20093487595776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8936 (or 4459 counting only the distinct ones).

The product of its (nonzero) digits is 800150400, while the sum is 72.

The spelling of 20093487595776 in words is "twenty trillion, ninety-three billion, four hundred eighty-seven million, five hundred ninety-five thousand, seven hundred seventy-six".