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45432813664773 = 341740980670061
BaseRepresentation
bin10100101010010001001101…
…01110000011101000000101
312221212100000220022101120000
422111020212232003220011
521423332400244233043
6240343314011431513
712366261322206063
oct1225104656035005
9187770026271500
1045432813664773
1113526a47978a47
125119225455599
131c473b0265042
14b30d6200d033
1553bc299992d3
hex295226b83a05

45432813664773 has 40 divisors (see below), whose sum is σ = 72036751964760. Its totient is φ = 28437164190720.

The previous prime is 45432813664729. The next prime is 45432813664829. The reversal of 45432813664773 is 37746631823454.

45432813664773 is a `hidden beast` number, since 4 + 5 + 4 + 3 + 28 + 136 + 6 + 477 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 17691924955329 + 27740888709444 = 4206177^2 + 5266962^2 .

It is not a de Polignac number, because 45432813664773 - 28 = 45432813664517 is a prime.

It is a super-2 number, since 2×454328136647732 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 45432813664773.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45432813664723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 39771838 + ... + 40898223.

It is an arithmetic number, because the mean of its divisors is an integer number (1800918799119).

Almost surely, 245432813664773 is an apocalyptic number.

It is an amenable number.

45432813664773 is a deficient number, since it is larger than the sum of its proper divisors (26603938299987).

45432813664773 is a wasteful number, since it uses less digits than its factorization.

45432813664773 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80670499 (or 80670490 counting only the distinct ones).

The product of its digits is 243855360, while the sum is 63.

The spelling of 45432813664773 in words is "forty-five trillion, four hundred thirty-two billion, eight hundred thirteen million, six hundred sixty-four thousand, seven hundred seventy-three".

Divisors: 1 3 9 17 27 51 81 153 409 459 1227 1377 3681 6953 11043 20859 33129 62577 187731 563193 80670061 242010183 726030549 1371391037 2178091647 4114173111 6534274941 12342519333 32994054949 37027557999 98982164847 111082673997 296946494541 560898934133 890839483623 1682696802399 2672518450869 5048090407197 15144271221591 45432813664773