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20240671445505 = 32574110914378183
BaseRepresentation
bin1001001101000101001100…
…00010000001001000000001
32122122222201012020200201200
410212202212002001020001
510123110343342224010
6111014234110251413
74156224464402520
oct446424602011001
978588635220650
1020240671445505
1164a40253a3215
12232a93bab6b69
13b3a8c18077a4
144dd921b704b7
1525178dc23cc0
hex1268a6081201

20240671445505 has 96 divisors (see below), whose sum is σ = 41450579089920. Its totient is φ = 8944379458560.

The previous prime is 20240671445503. The next prime is 20240671445521. The reversal of 20240671445505 is 50554417604202.

20240671445505 is a `hidden beast` number, since 2 + 0 + 2 + 40 + 67 + 1 + 4 + 45 + 505 = 666.

It is not a de Polignac number, because 20240671445505 - 21 = 20240671445503 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (20240671445503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5781357 + ... + 8596826.

It is an arithmetic number, because the mean of its divisors is an integer number (431776865520).

Almost surely, 220240671445505 is an apocalyptic number.

It is an amenable number.

20240671445505 is an abundant number, since it is smaller than the sum of its proper divisors (21209907644415).

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

20240671445505 is a wasteful number, since it uses less digits than its factorization.

20240671445505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14378351 (or 14378348 counting only the distinct ones).

The product of its (nonzero) digits is 1344000, while the sum is 45.

The spelling of 20240671445505 in words is "twenty trillion, two hundred forty billion, six hundred seventy-one million, four hundred forty-five thousand, five hundred five".

Divisors: 1 3 5 7 9 15 21 35 41 45 63 105 109 123 205 287 315 327 369 545 615 763 861 981 1435 1635 1845 2289 2583 3815 4305 4469 4905 6867 11445 12915 13407 22345 31283 34335 40221 67035 93849 156415 201105 281547 469245 1407735 14378183 43134549 71890915 100647281 129403647 215672745 301941843 503236405 589505503 647018235 905825529 1509709215 1567221947 1768516509 2947527515 4126538521 4529127645 4701665841 5305549527 7836109735 8842582545 10970553629 12379615563 14104997523 20632692605 23508329205 26527747635 32911660887 37138846689 54852768145 61898077815 64256099827 70524987615 98734982661 164558304435 185694233445 192768299481 321280499135 449792698789 493674913305 578304898443 963841497405 1349378096367 2248963493945 2891524492215 4048134289101 6746890481835 20240671445505