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449693641332 = 223213960883849
BaseRepresentation
bin1101000101100111101…
…01000110101001110100
31120222201220220220112100
412202303311012221310
524331433033010312
6542330355222100
744326553611545
oct6426365065164
91528656826470
10449693641332
11163794378671
12731a15a7930
1333537a94c40
1417a9dd464cc
15ba6e4255dc
hex68b3d46a74

449693641332 has 36 divisors (see below), whose sum is σ = 1224166024900. Its totient is φ = 138367274112.

The previous prime is 449693641303. The next prime is 449693641343. The reversal of 449693641332 is 233146396944.

449693641332 is a `hidden beast` number, since 4 + 496 + 93 + 64 + 1 + 3 + 3 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 102756149136 + 346937492196 = 320556^2 + 589014^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 480441457 + ... + 480442392.

Almost surely, 2449693641332 is an apocalyptic number.

It is an amenable number.

449693641332 is an abundant number, since it is smaller than the sum of its proper divisors (774472383568).

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

449693641332 is a wasteful number, since it uses less digits than its factorization.

449693641332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 960883872 (or 960883867 counting only the distinct ones).

The product of its digits is 10077696, while the sum is 54.

The spelling of 449693641332 in words is "four hundred forty-nine billion, six hundred ninety-three million, six hundred forty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 960883849 1921767698 2882651547 3843535396 5765303094 8647954641 11530606188 12491490037 17295909282 24982980074 34591818564 37474470111 49965960148 74948940222 112423410333 149897880444 224846820666 449693641332