Search a number
-
+
483982361280 = 26355112373337
BaseRepresentation
bin1110000101011111001…
…10001100001011000000
31201021020120012100200000
413002233212030023000
530412143441030110
61010201033400000
746652351123235
oct7025746141300
91637216170600
10483982361280
1117728a475450
1279970869000
133684082a142
14195d3bbd78c
15c8c98061c0
hex70af98c2c0

483982361280 has 1344 divisors, whose sum is σ = 1998008183808. Its totient is φ = 110361968640.

The previous prime is 483982361273. The next prime is 483982361309. The reversal of 483982361280 is 82163289384.

483982361280 is a `hidden beast` number, since 4 + 8 + 398 + 236 + 12 + 8 + 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1436149272 + ... + 1436149608.

It is an arithmetic number, because the mean of its divisors is an integer number (1486613232).

Almost surely, 2483982361280 is an apocalyptic number.

483982361280 is a gapful number since it is divisible by the number (40) 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 483982361280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (999004091904).

483982361280 is an abundant number, since it is smaller than the sum of its proper divisors (1514025822528).

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

483982361280 is a wasteful number, since it uses less digits than its factorization.

483982361280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 483982361280 in words is "four hundred eighty-three billion, nine hundred eighty-two million, three hundred sixty-one thousand, two hundred eighty".