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544466449332 = 2232131768434697
BaseRepresentation
bin1111110110001001011…
…10101011001110110100
31221001100210200101101100
413323010232223032310
532410031402334312
61054042513330100
754223246313331
oct7730456531664
91831323611340
10544466449332
1119a9a8130a83
1289630866930
133c45c65a960
141c4d0a85988
15e2697cc5dc
hex7ec4bab3b4

544466449332 has 72 divisors (see below), whose sum is σ = 1569344494536. Its totient is φ = 157673539584.

The previous prime is 544466449313. The next prime is 544466449433. The reversal of 544466449332 is 233944664445.

It is a happy number.

544466449332 is a `hidden beast` number, since 54 + 4 + 46 + 64 + 493 + 3 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 126162777636 + 418303671696 = 355194^2 + 646764^2 .

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 34209393 + ... + 34225304.

It is an arithmetic number, because the mean of its divisors is an integer number (21796451313).

Almost surely, 2544466449332 is an apocalyptic number.

544466449332 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

544466449332 is an abundant number, since it is smaller than the sum of its proper divisors (1024878045204).

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

544466449332 is a wasteful number, since it uses less digits than its factorization.

544466449332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68434737 (or 68434732 counting only the distinct ones).

The product of its digits is 29859840, while the sum is 54.

The spelling of 544466449332 in words is "five hundred forty-four billion, four hundred sixty-six million, four hundred forty-nine thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 17 18 26 34 36 39 51 52 68 78 102 117 153 156 204 221 234 306 442 468 612 663 884 1326 1989 2652 3978 7956 68434697 136869394 205304091 273738788 410608182 615912273 821216364 889651061 1163389849 1231824546 1779302122 2326779698 2463649092 2668953183 3490169547 3558604244 4653559396 5337906366 6980339094 8006859549 10470508641 10675812732 13960678188 15124068037 16013719098 20941017282 30248136074 32027438196 41882034564 45372204111 60496272148 90744408222 136116612333 181488816444 272233224666 544466449332