Search a number
-
+
6422286504400 = 24521331210712011
BaseRepresentation
bin101110101110100111000…
…0110110001000111010000
3211201222001012002122111221
41131131032012301013100
51320210320321120100
621354205132214424
71231665150401524
oct135351606610720
924658035078457
106422286504400
112056749337428
1287882290a414
13377807ca4240
14182ba9bd1d84
15b20d220501a
hex5d74e1b11d0

6422286504400 has 360 divisors, whose sum is σ = 17331643641312. Its totient is φ = 2273175936000.

The previous prime is 6422286504397. The next prime is 6422286504433. The reversal of 6422286504400 is 44056822246.

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 534694395 + ... + 534706405.

Almost surely, 26422286504400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6422286504400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8665821820656).

6422286504400 is an abundant number, since it is smaller than the sum of its proper divisors (10909357136912).

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

6422286504400 is a wasteful number, since it uses less digits than its factorization.

6422286504400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12211 (or 12169 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 43.

The spelling of 6422286504400 in words is "six trillion, four hundred twenty-two billion, two hundred eighty-six million, five hundred four thousand, four hundred".