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21454253505 = 3252916440041
BaseRepresentation
bin10011111110110001…
…011110110111000001
32001101011222000000200
4103332301132313001
5322414242103010
613504515035413
71356441101016
oct237661366701
961334860020
1021454253505
11910a404223
1241a8b9bb69
13203ba70879
1410774bb70d
1585877acc0
hex4fec5edc1

21454253505 has 24 divisors (see below), whose sum is σ = 38469698280. Its totient is φ = 11047706880.

The previous prime is 21454253501. The next prime is 21454253519. The reversal of 21454253505 is 50535245412.

21454253505 is a `hidden beast` number, since 2 + 14 + 542 + 53 + 50 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 14265729 + 21439987776 = 3777^2 + 146424^2 .

It is not a de Polignac number, because 21454253505 - 22 = 21454253501 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 21454253505.

It is not an unprimeable number, because it can be changed into a prime (21454253501) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8218716 + ... + 8221325.

It is an arithmetic number, because the mean of its divisors is an integer number (1602904095).

Almost surely, 221454253505 is an apocalyptic number.

It is an amenable number.

21454253505 is a deficient number, since it is larger than the sum of its proper divisors (17015444775).

21454253505 is a wasteful number, since it uses less digits than its factorization.

21454253505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16440081 (or 16440078 counting only the distinct ones).

The product of its (nonzero) digits is 120000, while the sum is 36.

Adding to 21454253505 its reverse (50535245412), we get a palindrome (71989498917).

The spelling of 21454253505 in words is "twenty-one billion, four hundred fifty-four million, two hundred fifty-three thousand, five hundred five".

Divisors: 1 3 5 9 15 29 45 87 145 261 435 1305 16440041 49320123 82200205 147960369 246600615 476761189 739801845 1430283567 2383805945 4290850701 7151417835 21454253505