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32113012032 = 263319251479
BaseRepresentation
bin11101111010000101…
…011010110101000000
310001220000022000222000
4131322011122311000
51011231412341112
622430313144000
72214535045533
oct357205326500
9101800260860
1032113012032
1112689a5a272
1262826bb000
13304a08a78a
1417a8d20a1a
15c7e3b17dc
hex77a15ad40

32113012032 has 168 divisors, whose sum is σ = 99638510400. Its totient is φ = 10140754176.

The previous prime is 32113012027. The next prime is 32113012093. The reversal of 32113012032 is 23021031123.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 32113011996 and 32113012014.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 598069 + ... + 649547.

Almost surely, 232113012032 is an apocalyptic number.

32113012032 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 32113012032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49819255200).

32113012032 is an abundant number, since it is smaller than the sum of its proper divisors (67525498368).

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

32113012032 is a wasteful number, since it uses less digits than its factorization.

32113012032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51538 (or 51503 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 32113012032 its reverse (23021031123), we get a palindrome (55134043155).

The spelling of 32113012032 in words is "thirty-two billion, one hundred thirteen million, twelve thousand, thirty-two".