Search a number
-
+
485873676288 = 21234721121319
BaseRepresentation
bin1110001001000000101…
…00111111000000000000
31201110010101001010010000
413010200110333000000
530430032130120123
61011112435040000
750050255051200
oct7044024770000
91643111033100
10485873676288
11178070029400
127a1ba140000
1336a8260c850
1419733066400
15c98a89ab43
hex712053f000

485873676288 has 2340 divisors, whose sum is σ = 2103811497480. Its totient is φ = 110361968640.

The previous prime is 485873676263. The next prime is 485873676341. The reversal of 485873676288 is 882676378584.

485873676288 is a `hidden beast` number, since 4 + 8 + 587 + 36 + 7 + 6 + 2 + 8 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 179 ways as a sum of consecutive naturals, for example, 25572298743 + ... + 25572298761.

Almost surely, 2485873676288 is an apocalyptic number.

485873676288 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 485873676288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1051905748740).

485873676288 is an abundant number, since it is smaller than the sum of its proper divisors (1617937821192).

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

485873676288 is a wasteful number, since it uses less digits than its factorization.

485873676288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 55 counting only the distinct ones).

The product of its digits is 867041280, while the sum is 72.

The spelling of 485873676288 in words is "four hundred eighty-five billion, eight hundred seventy-three million, six hundred seventy-six thousand, two hundred eighty-eight".