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485013974376960 = 2934573173671093
BaseRepresentation
bin110111001000111100001110…
…1101001110110001000000000
32100121021212211210111011120000
41232101320131221312020000
51002032432104420030320
64435312202135320000
7204106050266055000
oct15621703551661000
92317255753434500
10485013974376960
111305a42a927a566
1246492b5a820000
1317a82810681422
1487aab318ac000
153b114d7009c90
hex1b91e1da76200

485013974376960 has 3200 divisors, whose sum is σ = 2152830767155200. Its totient is φ = 103959636738048.

The previous prime is 485013974376959. The next prime is 485013974377003. The reversal of 485013974376960 is 69673479310584.

485013974376960 is a `hidden beast` number, since 4 + 8 + 5 + 0 + 13 + 97 + 437 + 6 + 96 + 0 = 666.

It is a super-2 number, since 2×4850139743769602 (a number of 30 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 443745630174 + ... + 443745631266.

It is an arithmetic number, because the mean of its divisors is an integer number (672759614736).

Almost surely, 2485013974376960 is an apocalyptic number.

485013974376960 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 485013974376960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1076415383577600).

485013974376960 is an abundant number, since it is smaller than the sum of its proper divisors (1667816792778240).

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

485013974376960 is a wasteful number, since it uses less digits than its factorization.

485013974376960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1533 (or 1494 counting only the distinct ones).

The product of its (nonzero) digits is 823011840, while the sum is 72.

The spelling of 485013974376960 in words is "four hundred eighty-five trillion, thirteen billion, nine hundred seventy-four million, three hundred seventy-six thousand, nine hundred sixty".