Search a number
-
+
483219209088 = 27357211193741
BaseRepresentation
bin1110000100000100001…
…10111111101110000000
31201012021101012012200000
413002002012333232000
530404113104142323
61005553212400000
746624423335600
oct7020206775600
91635241165600
10483219209088
11176a28711960
1279799176000
133674b6a90b5
14195606c6c00
15c88280be43
hex70821bfb80

483219209088 has 2304 divisors, whose sum is σ = 2026565049600. Its totient is φ = 112870195200.

The previous prime is 483219209029. The next prime is 483219209147. The reversal of 483219209088 is 880902912384.

It is an interprime number because it is at equal distance from previous prime (483219209029) and next prime (483219209147).

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

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 287 ways as a sum of consecutive naturals, for example, 11785834348 + ... + 11785834388.

It is an arithmetic number, because the mean of its divisors is an integer number (879585525).

Almost surely, 2483219209088 is an apocalyptic number.

483219209088 is a gapful number since it is divisible by the number (48) 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 483219209088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1013282524800).

483219209088 is an abundant number, since it is smaller than the sum of its proper divisors (1543345840512).

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

483219209088 is a wasteful number, since it uses less digits than its factorization.

483219209088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 483219209088 in words is "four hundred eighty-three billion, two hundred nineteen million, two hundred nine thousand, eighty-eight".