Search a number
-
+
20847060326400 = 2113527111762637
BaseRepresentation
bin1001011110101110101011…
…01000000001100000000000
32201210221220110220112012020
410233113111220001200000
510213024234420421100
6112201001324401440
74251102406010460
oct457272550014000
981727813815166
1020847060326400
116708209088570
1224083723a6280
13b82b3bc7b299
14521008731ba0
1526242e8e35a0
hex12f5d5a01800

20847060326400 has 576 divisors, whose sum is σ = 85923103069440. Its totient is φ = 4331854233600.

The previous prime is 20847060326381. The next prime is 20847060326453. The reversal of 20847060326400 is 462306074802.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10945882 + ... + 12708518.

It is an arithmetic number, because the mean of its divisors is an integer number (149172053940).

Almost surely, 220847060326400 is an apocalyptic number.

20847060326400 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 20847060326400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42961551534720).

20847060326400 is an abundant number, since it is smaller than the sum of its proper divisors (65076042743040).

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

20847060326400 is a wasteful number, since it uses less digits than its factorization.

20847060326400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1762690 (or 1762665 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 42.

The spelling of 20847060326400 in words is "twenty trillion, eight hundred forty-seven billion, sixty million, three hundred twenty-six thousand, four hundred".