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154540189456 = 2423242732
BaseRepresentation
bin1000111111101101010…
…0000010011100010000
3112202220011122000221121
42033323110002130100
510012444242030311
6154554512332024
714110435636132
oct2177324023420
9482804560847
10154540189456
115a5a39a9744
1225b4b244014
131175b087ab3
1476a075d052
1540474aab71
hex23fb502710

154540189456 has 45 divisors (see below), whose sum is σ = 313079231829. Its totient is φ = 73893228288.

The previous prime is 154540189411. The next prime is 154540189457. The reversal of 154540189456 is 654981045451.

The square root of 154540189456 is 393116.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 41902090000 + 112638099456 = 204700^2 + 335616^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (154540189457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 36164536 + ... + 36168808.

Almost surely, 2154540189456 is an apocalyptic number.

154540189456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

154540189456 is the 393116-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 154540189456

154540189456 is an abundant number, since it is smaller than the sum of its proper divisors (158539042373).

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

154540189456 is an frugal number, since it uses more digits than its factorization.

154540189456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8600 (or 4298 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 52.

The spelling of 154540189456 in words is "one hundred fifty-four billion, five hundred forty million, one hundred eighty-nine thousand, four hundred fifty-six".

Divisors: 1 2 4 8 16 23 46 92 184 368 529 1058 2116 4232 4273 8464 8546 17092 34184 68368 98279 196558 393116 786232 1572464 2260417 4520834 9041668 18083336 18258529 36166672 36517058 73034116 146068232 292136464 419946167 839892334 1679784668 3359569336 6719138672 9658761841 19317523682 38635047364 77270094728 154540189456