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465435232256 = 211263864119
BaseRepresentation
bin1101100010111100001…
…10100000100000000000
31122111100222111120201102
412301132012200200000
530111202404413011
6553452404153532
745424630124621
oct6613606404000
91574328446642
10465435232256
1116a432066945
12762553988a8
1334b76153097
141875484da48
15c1913c573b
hex6c5e1a0800

465435232256 has 48 divisors (see below), whose sum is σ = 934182849600. Its totient is φ = 231832489984.

The previous prime is 465435232253. The next prime is 465435232261. The reversal of 465435232256 is 652232534564.

It is a self number, because there is not a number n which added to its sum of digits gives 465435232256.

It is not an unprimeable number, because it can be changed into a prime (465435232253) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 106565 + ... + 970683.

It is an arithmetic number, because the mean of its divisors is an integer number (19462142700).

Almost surely, 2465435232256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 465435232256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467091424800).

465435232256 is an abundant number, since it is smaller than the sum of its proper divisors (468747617344).

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

465435232256 is an equidigital number, since it uses as much as digits as its factorization.

465435232256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864404 (or 864384 counting only the distinct ones).

The product of its digits is 5184000, while the sum is 47.

The spelling of 465435232256 in words is "four hundred sixty-five billion, four hundred thirty-five million, two hundred thirty-two thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 32 64 128 256 263 512 526 1024 1052 2048 2104 4208 8416 16832 33664 67328 134656 269312 538624 864119 1728238 3456476 6912952 13825904 27651808 55303616 110607232 221214464 227263297 442428928 454526594 884857856 909053188 1769715712 1818106376 3636212752 7272425504 14544851008 29089702016 58179404032 116358808064 232717616128 465435232256