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445883313964 = 221161894614049
BaseRepresentation
bin1100111110100001011…
…01110110111100101100
31120121220101010020000111
412133100231312330230
524301132112021324
6540500322505404
744133255430444
oct6372055667454
91517811106014
10445883313964
11162109563290
12724b9505264
133307b552c6a
141781bc87124
15b8e9b69794
hex67d0b76f2c

445883313964 has 96 divisors (see below), whose sum is σ = 877021992000. Its totient is φ = 196635648000.

The previous prime is 445883313959. The next prime is 445883313973. The reversal of 445883313964 is 469313388544.

It is a Smith number, since the sum of its digits (58) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 445883313899 and 445883313908.

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 31 ways as a sum of consecutive naturals, for example, 110119812 + ... + 110123860.

It is an arithmetic number, because the mean of its divisors is an integer number (9135645750).

Almost surely, 2445883313964 is an apocalyptic number.

445883313964 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

445883313964 is a deficient number, since it is larger than the sum of its proper divisors (431138678036).

445883313964 is a wasteful number, since it uses less digits than its factorization.

445883313964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4675 (or 4673 counting only the distinct ones).

The product of its digits is 29859840, while the sum is 58.

The spelling of 445883313964 in words is "four hundred forty-five billion, eight hundred eighty-three million, three hundred thirteen thousand, nine hundred sixty-four".

Divisors: 1 2 4 11 22 44 61 89 122 178 244 356 461 671 922 979 1342 1844 1958 2684 3916 4049 5071 5429 8098 10142 10858 16196 20284 21716 28121 41029 44539 56242 59719 82058 89078 112484 119438 164116 178156 238876 246989 309331 360361 451319 493978 618662 720722 902638 987956 1237324 1441444 1805276 1866589 2502769 2716879 3733178 3963971 5005538 5433758 7466356 7927942 10011076 10867516 15855884 20532479 21982021 27530459 41064958 43964042 55060918 82129916 87928084 110121836 113861929 166126421 227723858 241802231 332252842 455447716 483604462 664505684 967208924 1252481219 1827390631 2504962438 3654781262 5009924876 7309562524 10133711681 20267423362 40534846724 111470828491 222941656982 445883313964