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153243244032 = 293373926683
BaseRepresentation
bin1000111010111000000…
…0100101011000000000
3112122112210012101021220
42032232000211120000
510002320232302112
6154222102315040
714033340040134
oct2165600453000
9478483171256
10153243244032
1159a988a841a
1225848a28a80
13115b247c278
1475ba3d53c4
153ebd6c098c
hex23ae025600

153243244032 has 80 divisors (see below), whose sum is σ = 408374070720. Its totient is φ = 51065505792.

The previous prime is 153243244031. The next prime is 153243244079. The reversal of 153243244032 is 230442342351.

It is a super-2 number, since 2×1532432440322 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 153243243984 and 153243244002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153243244031) 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 7 ways as a sum of consecutive naturals, for example, 5729763 + ... + 5756445.

It is an arithmetic number, because the mean of its divisors is an integer number (5104675884).

Almost surely, 2153243244032 is an apocalyptic number.

153243244032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 153243244032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204187035360).

153243244032 is an abundant number, since it is smaller than the sum of its proper divisors (255130826688).

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

153243244032 is an equidigital number, since it uses as much as digits as its factorization.

153243244032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30443 (or 30427 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 33.

Adding to 153243244032 its reverse (230442342351), we get a palindrome (383685586383).

The spelling of 153243244032 in words is "one hundred fifty-three billion, two hundred forty-three million, two hundred forty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1536 3739 7478 11217 14956 22434 26683 29912 44868 53366 59824 80049 89736 106732 119648 160098 179472 213464 239296 320196 358944 426928 478592 640392 717888 853856 957184 1280784 1435776 1707712 1914368 2561568 2871552 3415424 5123136 5743104 6830848 10246272 13661696 20492544 40985088 99767737 199535474 299303211 399070948 598606422 798141896 1197212844 1596283792 2394425688 3192567584 4788851376 6385135168 9577702752 12770270336 19155405504 25540540672 38310811008 51081081344 76621622016 153243244032