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677574220019823 = 327243193318484937
BaseRepresentation
bin1001101000010000000000101…
…0101100010111100001101111
310021212002110111101202021220200
42122010000022230113201233
51202302334000311113243
610401025144405244543
7262502056551644400
oct23204001254274157
93255073441667820
10677574220019823
11186994681972265
1263bb250b403753
132310cc8979c4b9
14bd46aa53cd9a7
1553503d8d3cad3
hex268400ab1786f

677574220019823 has 72 divisors (see below), whose sum is σ = 1165588764479568. Its totient is φ = 377985294989568.

The previous prime is 677574220019819. The next prime is 677574220019867. The reversal of 677574220019823 is 328910022475776.

It is a happy number.

677574220019823 is a `hidden beast` number, since 6 + 7 + 7 + 574 + 2 + 20 + 0 + 19 + 8 + 23 = 666.

It is not a de Polignac number, because 677574220019823 - 22 = 677574220019819 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (677574220019023) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 27413011 + ... + 45897947.

It is an arithmetic number, because the mean of its divisors is an integer number (16188732839994).

It is a 1-persistent number, because it is pandigital, but 2⋅677574220019823 = 1355148440039646 is not.

Almost surely, 2677574220019823 is an apocalyptic number.

677574220019823 is a gapful number since it is divisible by the number (63) formed by its first and last digit.

677574220019823 is a deficient number, since it is larger than the sum of its proper divisors (488014544459745).

677574220019823 is a wasteful number, since it uses less digits than its factorization.

677574220019823 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18486933 (or 18486923 counting only the distinct ones).

The product of its (nonzero) digits is 71124480, while the sum is 63.

The spelling of 677574220019823 in words is "six hundred seventy-seven trillion, five hundred seventy-four billion, two hundred twenty million, nineteen thousand, eight hundred twenty-three".

Divisors: 1 3 7 9 21 43 49 63 129 147 301 387 441 903 1933 2107 2709 5799 6321 13531 17397 18963 40593 83119 94717 121779 249357 284151 581833 748071 852453 1745499 4072831 5236497 12218493 18484937 36655479 55454811 129394559 166364433 388183677 794852291 905761913 1164551031 2384556873 2717285739 5563966037 7153670619 8151857217 16691898111 35731383221 38947762259 50075694333 107194149663 116843286777 250119682547 321582448989 350529860331 750359047641 1536449478503 1750837777829 2251077142923 4609348435509 5252513333487 10755146349521 13828045306527 15757540000461 32265439048563 75286024446647 96796317145689 225858073339941 677574220019823