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454245222542454 = 23379722035623573
BaseRepresentation
bin110011101001000100011010…
…1001000010110110001110110
32012120100102022120120221122000
41213102020311020112301312
5434014323203432324304
64250033212512320130
7164452064033524650
oct14722106510266166
92176312276527560
10454245222542454
11121811353a81a82
1242b43925b43046
13166601aa117485
14802582c2b16d0
15377ae62419939
hex19d2235216c76

454245222542454 has 128 divisors (see below), whose sum is σ = 1166061115591680. Its totient is φ = 128388038280192.

The previous prime is 454245222542413. The next prime is 454245222542479.

454245222542454 is a `hidden beast` number, since 4 + 5 + 4 + 2 + 4 + 52 + 2 + 2 + 542 + 45 + 4 = 666.

454245222542454 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 454245222542454.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 77963412 + ... + 83586984.

It is an arithmetic number, because the mean of its divisors is an integer number (9109852465560).

Almost surely, 2454245222542454 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 454245222542454, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583030557795840).

454245222542454 is an abundant number, since it is smaller than the sum of its proper divisors (711815893049226).

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

454245222542454 is a wasteful number, since it uses less digits than its factorization.

454245222542454 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5625891 (or 5625885 counting only the distinct ones).

The product of its digits is 81920000, while the sum is 54.

The spelling of 454245222542454 in words is "four hundred fifty-four trillion, two hundred forty-five billion, two hundred twenty-two million, five hundred forty-two thousand, four hundred fifty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 97 126 189 194 291 378 582 679 873 1358 1746 2037 2203 2619 4074 4406 5238 6111 6609 12222 13218 15421 18333 19827 30842 36666 39654 46263 59481 92526 118962 138789 213691 277578 416367 427382 641073 832734 1282146 1495837 1923219 2991674 3846438 4487511 5623573 5769657 8975022 11247146 11539314 13462533 16870719 26925066 33741438 39365011 40387599 50612157 78730022 80775198 101224314 118095033 151836471 236190066 303672942 354285099 545486581 708570198 1062855297 1090973162 1636459743 2125710594 3272919486 3818406067 4909379229 7636812134 9818758458 11455218201 12388731319 14728137687 22910436402 24777462638 29456275374 34365654603 37166193957 68731309206 74332387914 86721119233 103096963809 111498581871 173442238466 206193927618 222997163742 260163357699 334495745613 520326715398 668991491226 780490073097 1201706937943 1560980146194 2341470219291 2403413875886 3605120813829 4682940438582 7210241627658 8411948565601 10815362441487 16823897131202 21630724882974 25235845696803 32446087324461 50471691393606 64892174648922 75707537090409 151415074180818 227122611271227 454245222542454