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485001241920 = 26335134791873
BaseRepresentation
bin1110000111011000101…
…00111010010101000000
31201100212120101212011000
413003230110322111000
530421240304220140
61010450111452000
750016532351566
oct7035424722500
91640776355130
10485001241920
11177762614568
1279bb5b27000
13369739480b0
141968d243a36
15c938eb6a30
hex70ec53a540

485001241920 has 448 divisors, whose sum is σ = 1881814717440. Its totient is φ = 116843544576.

The previous prime is 485001241883. The next prime is 485001241927. The reversal of 485001241920 is 29142100584.

485001241920 is a `hidden beast` number, since 4 + 8 + 500 + 124 + 1 + 9 + 20 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (485001241927) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 5233104 + ... + 5324976.

It is an arithmetic number, because the mean of its divisors is an integer number (4200479280).

Almost surely, 2485001241920 is an apocalyptic number.

485001241920 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 485001241920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (940907358720).

485001241920 is an abundant number, since it is smaller than the sum of its proper divisors (1396813475520).

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

485001241920 is a wasteful number, since it uses less digits than its factorization.

485001241920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91959 (or 91943 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 485001241920 in words is "four hundred eighty-five billion, one million, two hundred forty-one thousand, nine hundred twenty".