Search a number
-
+
485611822080 = 21035571137137
BaseRepresentation
bin1110001000100001011…
…10000101110000000000
31201102110010022112200000
413010100232011300000
530424013111301310
61011030442400000
750040625244640
oct7042056056000
91642403275600
10485611822080
11177a46239470
127a146500000
1336a402a9628
141970a382520
15c9728c44c0
hex7110b85c00

485611822080 has 2112 divisors, whose sum is σ = 2250631498752. Its totient is φ = 97462517760.

The previous prime is 485611822057. The next prime is 485611822099. The reversal of 485611822080 is 80228116584.

485611822080 is a `hidden beast` number, since 4 + 8 + 5 + 611 + 8 + 2 + 20 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3544611772 + ... + 3544611908.

Almost surely, 2485611822080 is an apocalyptic number.

485611822080 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 485611822080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1125315749376).

485611822080 is an abundant number, since it is smaller than the sum of its proper divisors (1765019676672).

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

485611822080 is a wasteful number, since it uses less digits than its factorization.

485611822080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The spelling of 485611822080 in words is "four hundred eighty-five billion, six hundred eleven million, eight hundred twenty-two thousand, eighty".