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32012232032 = 2511487186743
BaseRepresentation
bin11101110100000100…
…111110010101100000
310001121222122212210102
4131310010332111200
51011030112411112
622412313121532
72212202324354
oct356404762540
9101558585712
1032012232032
1112638085810
1262549b92a8
133032232c41
1417997a9464
15c75605bc2
hex77413e560

32012232032 has 48 divisors (see below), whose sum is σ = 68895090432. Its totient is φ = 14521057920.

The previous prime is 32012231963. The next prime is 32012232047. The reversal of 32012232032 is 23023221023.

It is a super-3 number, since 3×320122320323 (a number of 32 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 32012231995 and 32012232013.

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 7 ways as a sum of consecutive naturals, for example, 78053 + ... + 264795.

It is an arithmetic number, because the mean of its divisors is an integer number (1435314384).

Almost surely, 232012232032 is an apocalyptic number.

32012232032 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 32012232032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34447545216).

32012232032 is an abundant number, since it is smaller than the sum of its proper divisors (36882858400).

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

32012232032 is a wasteful number, since it uses less digits than its factorization.

32012232032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187251 (or 187243 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 32012232032 its reverse (23023221023), we get a palindrome (55035453055).

The spelling of 32012232032 in words is "thirty-two billion, twelve million, two hundred thirty-two thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 487 974 1948 3896 5357 7792 10714 15584 21428 42856 85712 171424 186743 373486 746972 1493944 2054173 2987888 4108346 5975776 8216692 16433384 32866768 65733536 90943841 181887682 363775364 727550728 1000382251 1455101456 2000764502 2910202912 4001529004 8003058008 16006116016 32012232032