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32041344032 = 2519449117371
BaseRepresentation
bin11101110101110100…
…000001110000100000
310001201000102220221122
4131311310001300200
51011110041002112
622415233111412
72213004634115
oct356564016040
9101630386848
1032041344032
111265255a015
1262626b8568
133038286989
14179d5c690c
15c77e56872
hex775d01c20

32041344032 has 48 divisors (see below), whose sum is σ = 66549924000. Its totient is φ = 15143546880.

The previous prime is 32041343959. The next prime is 32041344059. The reversal of 32041344032 is 23044314023.

It is a junction number, because it is equal to n+sod(n) for n = 32041343992 and 32041344010.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 214307 + ... + 331677.

It is an arithmetic number, because the mean of its divisors is an integer number (1386456750).

Almost surely, 232041344032 is an apocalyptic number.

32041344032 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 32041344032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33274962000).

32041344032 is an abundant number, since it is smaller than the sum of its proper divisors (34508579968).

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

32041344032 is a wasteful number, since it uses less digits than its factorization.

32041344032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117849 (or 117841 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 32041344032 its reverse (23044314023), we get a palindrome (55085658055).

The spelling of 32041344032 in words is "thirty-two billion, forty-one million, three hundred forty-four thousand, thirty-two".

Divisors: 1 2 4 8 16 19 32 38 76 152 304 449 608 898 1796 3592 7184 8531 14368 17062 34124 68248 117371 136496 234742 272992 469484 938968 1877936 2230049 3755872 4460098 8920196 17840392 35680784 52699579 71361568 105399158 210798316 421596632 843193264 1001292001 1686386528 2002584002 4005168004 8010336008 16020672016 32041344032