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485020876032 = 2832711219103127
BaseRepresentation
bin1110000111011010111…
…11110011110100000000
31201100220221100101002100
413003231133303310000
530421310321013112
61010452052350400
750020161265110
oct7035537636400
91640827311070
10485020876032
11177772704a00
127a000615400
1336977a30b04
1419691ab5040
15c93aa942dc
hex70ed7f3d00

485020876032 has 1296 divisors, whose sum is σ = 1881824788480. Its totient is φ = 117259591680.

The previous prime is 485020876019. The next prime is 485020876037. The reversal of 485020876032 is 230678020584.

485020876032 is a `hidden beast` number, since 4 + 8 + 502 + 0 + 87 + 60 + 3 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (485020876037) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3819061953 + ... + 3819062079.

Almost surely, 2485020876032 is an apocalyptic number.

485020876032 is a gapful number since it is divisible by the number (42) 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 485020876032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (940912394240).

485020876032 is an abundant number, since it is smaller than the sum of its proper divisors (1396803912448).

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

485020876032 is a wasteful number, since it uses less digits than its factorization.

485020876032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 485020876032 in words is "four hundred eighty-five billion, twenty million, eight hundred seventy-six thousand, thirty-two".