Search a number
-
+
853960320000 = 210355417219
BaseRepresentation
bin11000110110101000000…
…00000110010000000000
310000122012222000000100000
430123110000012100000
5102442402320220000
61452145353200000
7115460634645144
oct14332400062000
93018188000300
10853960320000
112aa187379887
12119605700000
13626b3356ac8
142d490a3b224
15173306c0000
hexc6d4006400

853960320000 has 1980 divisors, whose sum is σ = 3573046196720. Its totient is φ = 203046912000.

The previous prime is 853960319987. The next prime is 853960320089. The reversal of 853960320000 is 23069358.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 44945279991 + ... + 44945280009.

Almost surely, 2853960320000 is an apocalyptic number.

853960320000 is a gapful number since it is divisible by the number (80) 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 853960320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1786523098360).

853960320000 is an abundant number, since it is smaller than the sum of its proper divisors (2719085876720).

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

853960320000 is an equidigital number, since it uses as much as digits as its factorization.

853960320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

Adding to 853960320000 its reverse (23069358), we get a palindrome (853983389358).

The spelling of 853960320000 in words is "eight hundred fifty-three billion, nine hundred sixty million, three hundred twenty thousand".