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20137889600676 = 2234614672
BaseRepresentation
bin1001001010000101101111…
…10000011001010010100100
32122022011102011001222210000
410211002313300121102210
510114414344214210201
6110455115130501300
74145625451212321
oct445026760312244
978264364058700
1020137889600676
11646448175aa01
122312a36594830
13b30cc1886623
144d8971493b48
1524dc75688d86
hex1250b7c194a4

20137889600676 has 225 divisors, whose sum is σ = 54332584370295. Its totient is φ = 6504040683360.

The previous prime is 20137889600659. The next prime is 20137889600701. The reversal of 20137889600676 is 67600698873102.

The square root of 20137889600676 is 4487526.

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

20137889600676 is a `hidden beast` number, since 2 + 0 + 13 + 7 + 8 + 8 + 9 + 600 + 6 + 7 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 17603680314276 + 2534209286400 = 4195674^2 + 1591920^2 .

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 74 ways as a sum of consecutive naturals, for example, 300565516395 + ... + 300565516461.

Almost surely, 220137889600676 is an apocalyptic number.

20137889600676 is the 4487526-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20137889600676

20137889600676 is an abundant number, since it is smaller than the sum of its proper divisors (34194694769619).

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

20137889600676 is an frugal number, since it uses more digits than its factorization.

20137889600676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

It can be divided in two parts, 2013788 and 9600676, that added together give a square (11614464 = 34082).

The spelling of 20137889600676 in words is "twenty trillion, one hundred thirty-seven billion, eight hundred eighty-nine million, six hundred thousand, six hundred seventy-six".