Search a number
-
+
20849397060996 = 2234743121672
BaseRepresentation
bin1001011110110011000001…
…11001111101010110000100
32201211011221022212221110000
410233121200321331112010
510213044031121422441
6112202025241001300
74251214331640000
oct457314071752604
981734838787400
1020849397060996
1167091a8109889
122408904a83230
13b8312211588a
1452118ac03700
15262519b1e2b6
hex12f660e7d584

20849397060996 has 675 divisors, whose sum is σ = 66097799260647. Its totient is φ = 5730290425440.

The previous prime is 20849397060983. The next prime is 20849397061081. The reversal of 20849397060996 is 69906079394802.

The square root of 20849397060996 is 4566114.

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

20849397060996 is a `hidden beast` number, since 2 + 0 + 8 + 4 + 9 + 3 + 9 + 7 + 0 + 609 + 9 + 6 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 124846688905 + ... + 124846689071.

Almost surely, 220849397060996 is an apocalyptic number.

20849397060996 is the 4566114-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20849397060996

20849397060996 is an abundant number, since it is smaller than the sum of its proper divisors (45248402199651).

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

20849397060996 is an frugal number, since it uses more digits than its factorization.

20849397060996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 317447424, while the sum is 72.

The spelling of 20849397060996 in words is "twenty trillion, eight hundred forty-nine billion, three hundred ninety-seven million, sixty thousand, nine hundred ninety-six".