Search a number
-
+
20847919132656 = 24327112170929417
BaseRepresentation
bin1001011110110000010001…
…10100000110111111110000
32201211001010022220101220100
410233120020310012333300
510213033014244221111
6112201222443512400
74251132604520010
oct457301064067760
981731108811810
1020847919132656
116708609934400
122408571b28700
13b82c47b80975
1452108a807c40
1526247eed4756
hex12f608d06ff0

20847919132656 has 180 divisors, whose sum is σ = 73293167003056. Its totient is φ = 5415043898880.

The previous prime is 20847919132591. The next prime is 20847919132669. The reversal of 20847919132656 is 65623191974802.

20847919132656 is a `hidden beast` number, since 2 + 0 + 8 + 4 + 79 + 191 + 326 + 56 = 666.

It is a super-2 number, since 2×208479191326562 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 20847919132593 and 20847919132602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 85342741 + ... + 85586676.

It is a 1-persistent number, because it is pandigital, but 2⋅20847919132656 = 41695838265312 is not.

Almost surely, 220847919132656 is an apocalyptic number.

It is an amenable number.

20847919132656 is an abundant number, since it is smaller than the sum of its proper divisors (52445247870400).

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

20847919132656 is a wasteful number, since it uses less digits than its factorization.

20847919132656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170929460 (or 170929440 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 20847919132656 in words is "twenty trillion, eight hundred forty-seven billion, nine hundred nineteen million, one hundred thirty-two thousand, six hundred fifty-six".