Search a number
-
+
13845774748023 = 33171131811474849
BaseRepresentation
bin1100100101111011100001…
…1111000100100101110111
31211000122100211220101211000
43021132320133010211313
53303322121313414043
645240354444414343
72626216130343321
oct311367037044567
954018324811730
1013845774748023
114458a61983159
1216774a1b473b3
137958601c6cba
1435c1d3890611
151902614022d3
hexc97b87c4977

13845774748023 has 64 divisors (see below), whose sum is σ = 22032135216000. Its totient is φ = 8563085475840.

The previous prime is 13845774748021. The next prime is 13845774748049. The reversal of 13845774748023 is 32084747754831.

13845774748023 is a `hidden beast` number, since 1 + 3 + 8 + 45 + 77 + 47 + 480 + 2 + 3 = 666.

It is not a de Polignac number, because 13845774748023 - 21 = 13845774748021 is a prime.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13845774748021) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8650503 + ... + 10125351.

It is an arithmetic number, because the mean of its divisors is an integer number (344252112750).

Almost surely, 213845774748023 is an apocalyptic number.

13845774748023 is a deficient number, since it is larger than the sum of its proper divisors (8186360467977).

13845774748023 is a wasteful number, since it uses less digits than its factorization.

13845774748023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1475169 (or 1475163 counting only the distinct ones).

The product of its (nonzero) digits is 126443520, while the sum is 63.

The spelling of 13845774748023 in words is "thirteen trillion, eight hundred forty-five billion, seven hundred seventy-four million, seven hundred forty-eight thousand, twenty-three".

Divisors: 1 3 9 17 27 51 113 153 181 339 459 543 1017 1629 1921 3051 3077 4887 5763 9231 17289 20453 27693 51867 61359 83079 184077 347701 552231 1043103 1474849 3129309 4424547 9387927 13273641 25072433 39820923 75217299 166657937 225651897 266947669 499973811 676955691 800843007 1499921433 2402529021 2833184929 4499764299 4538110373 7207587063 8499554787 13614331119 25498664361 30165086597 40842993357 76495993083 90495259791 122528980071 271485779373 512806472149 814457338119 1538419416447 4615258249341 13845774748023