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485463851430048 = 25321799155198413
BaseRepresentation
bin110111001100001101101110…
…0011010100111000010100000
32100122212220001111112100201100
41232120123130122213002200
51002112314431431230143
64440255003050034400
7204153414540654651
oct15630333432470240
92318786044470640
10485463851430048
11130758077130097
1246546191718a00
1317ab607744311a
1487c480bd19528
153b1d0675ae6d3
hex1b986dc6a70a0

485463851430048 has 72 divisors (see below), whose sum is σ = 1461745935019188. Its totient is φ = 152302384760832.

The previous prime is 485463851430029. The next prime is 485463851430079. The reversal of 485463851430048 is 840034158364584.

485463851430048 is a `hidden beast` number, since 4 + 8 + 5 + 46 + 3 + 8 + 514 + 30 + 0 + 48 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 481889074688784 + 3574776741264 = 21951972^2 + 1890708^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49577594311 + ... + 49577604102.

Almost surely, 2485463851430048 is an apocalyptic number.

485463851430048 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

485463851430048 is an abundant number, since it is smaller than the sum of its proper divisors (976282083589140).

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

485463851430048 is a wasteful number, since it uses less digits than its factorization.

485463851430048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99155198446 (or 99155198435 counting only the distinct ones).

The product of its (nonzero) digits is 176947200, while the sum is 63.

The spelling of 485463851430048 in words is "four hundred eighty-five trillion, four hundred sixty-three billion, eight hundred fifty-one million, four hundred thirty thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 153 204 272 288 306 408 544 612 816 1224 1632 2448 4896 99155198413 198310396826 297465595239 396620793652 594931190478 793241587304 892396785717 1189862380956 1586483174608 1685638373021 1784793571434 2379724761912 3172966349216 3371276746042 3569587142868 4759449523824 5056915119063 6742553492084 7139174285736 9518899047648 10113830238126 13485106984168 14278348571472 15170745357189 20227660476252 26970213968336 28556697142944 30341490714378 40455320952504 53940427936672 60682981428756 80910641905008 121365962857512 161821283810016 242731925715024 485463851430048