Search a number
-
+
21244678963200 = 216375272112
BaseRepresentation
bin1001101010010011010011…
…00010110000000000000000
32210012222020012112010000000
410311021221202300000000
510241033100303310300
6113103400520000000
74321606643445600
oct465115142600000
983188205463000
1021244678963200
1168508aa477500
122471440000000
13bb1498127774
14536368526c00
1526c9521e7c00
hex1352698b0000

21244678963200 has 3672 divisors, whose sum is σ = 101034255841680. Its totient is φ = 4414478745600.

The previous prime is 21244678963177. The next prime is 21244678963259. The reversal of 21244678963200 is 236987644212.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

21244678963200 is a `hidden beast` number, since 2 + 1 + 24 + 467 + 89 + 63 + 20 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1931334451195 + ... + 1931334451205.

Almost surely, 221244678963200 is an apocalyptic number.

21244678963200 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 21244678963200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50517127920840).

21244678963200 is an abundant number, since it is smaller than the sum of its proper divisors (79789576878480).

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

21244678963200 is an frugal number, since it uses more digits than its factorization.

21244678963200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 21244678963200 in words is "twenty-one trillion, two hundred forty-four billion, six hundred seventy-eight million, nine hundred sixty-three thousand, two hundred".