Search a number
-
+
242664052455 = 325111513246559
BaseRepresentation
bin1110000111111111100…
…1111001011011100111
3212012100200020002221100
43201333321321123213
512433433444134310
6303251152451143
723350304261406
oct3417771713347
9765320202840
10242664052455
1193a05593290
123b043849ab3
1319b632b0026
14ba6040563d
1564a3c8eec0
hex387fe796e7

242664052455 has 48 divisors (see below), whose sum is σ = 461894584320. Its totient is φ = 116876088000.

The previous prime is 242664052417. The next prime is 242664052469. The reversal of 242664052455 is 554250466242.

242664052455 is a `hidden beast` number, since 24 + 2 + 66 + 40 + 524 + 5 + 5 = 666.

It is not a de Polignac number, because 242664052455 - 210 = 242664051431 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 242664052455.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1548535 + ... + 1698024.

It is an arithmetic number, because the mean of its divisors is an integer number (9622803840).

Almost surely, 2242664052455 is an apocalyptic number.

242664052455 is a deficient number, since it is larger than the sum of its proper divisors (219230531865).

242664052455 is a wasteful number, since it uses less digits than its factorization.

242664052455 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3246732 (or 3246729 counting only the distinct ones).

The product of its (nonzero) digits is 2304000, while the sum is 45.

The spelling of 242664052455 in words is "two hundred forty-two billion, six hundred sixty-four million, fifty-two thousand, four hundred fifty-five".

Divisors: 1 3 5 9 11 15 33 45 55 99 151 165 453 495 755 1359 1661 2265 4983 6795 8305 14949 24915 74745 3246559 9739677 16232795 29219031 35712149 48698385 107136447 146095155 178560745 321409341 490230409 535682235 1470691227 1607046705 2451152045 4412073681 5392534499 7353456135 16177603497 22060368405 26962672495 48532810491 80888017485 242664052455