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32003023023232 = 27412157947357
BaseRepresentation
bin1110100011011010010001…
…10100011010110010000000
311012022110101200220002201121
413101231020310122302000
513143314142343220412
6152021552534042024
76512066513230132
oct721551064326200
9135273350802647
1032003023023232
11a2194511a7a48
12370a4977a9314
1314b1b45089361
147c8d51517052
153a7713397107
hex1d1b48d1ac80

32003023023232 has 96 divisors (see below), whose sum is σ = 65765279731860. Its totient is φ = 15511779778560.

The previous prime is 32003023023227. The next prime is 32003023023233. The reversal of 32003023023232 is 23232032030023.

It can be written as a sum of positive squares in 6 ways, for example, as 2274618977856 + 29728404045376 = 1508184^2 + 5452376^2 .

It is a super-2 number, since 2×320030230232322 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 32003023023197 and 32003023023206.

It is not an unprimeable number, because it can be changed into a prime (32003023023233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33307698 + ... + 34255054.

Almost surely, 232003023023232 is an apocalyptic number.

32003023023232 is a gapful number since it is divisible by the number (32) 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 32003023023232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32882639865930).

32003023023232 is an abundant number, since it is smaller than the sum of its proper divisors (33762256708628).

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

32003023023232 is an equidigital number, since it uses as much as digits as its factorization.

32003023023232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 947610 (or 947557 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 25.

Adding to 32003023023232 its reverse (23232032030023), we get a palindrome (55235055053255).

The spelling of 32003023023232 in words is "thirty-two trillion, three billion, twenty-three million, twenty-three thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 32 41 64 82 128 157 164 314 328 628 656 1256 1312 1681 2512 2624 3362 5024 5248 6437 6724 10048 12874 13448 20096 25748 26896 51496 53792 102992 107584 205984 215168 263917 411968 527834 823936 947357 1055668 1894714 2111336 3789428 4222672 7578856 8445344 15157712 16890688 30315424 33781376 38841637 60630848 77683274 121261696 148735049 155366548 297470098 310733096 594940196 621466192 1189880392 1242932384 1592507117 2379760784 2485864768 3185014234 4759521568 4971729536 6098137009 6370028468 9519043136 12196274018 12740056936 19038086272 24392548036 25480113872 48785096072 50960227744 97570192144 101920455488 195140384288 203840910976 250023617369 390280768576 500047234738 780561537152 1000094469476 2000188938952 4000377877904 8000755755808 16001511511616 32003023023232