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32504420032 = 267531976949
BaseRepresentation
bin11110010001011010…
…100001011011000000
310002220021210121210121
4132101122201123000
51013032112420112
622533214310024
72230330003660
oct362132413300
9102807717717
1032504420032
111286a996957
1263717b8314
1330b01b1346
141804cca1a0
15ca3929407
hex7916a16c0

32504420032 has 112 divisors (see below), whose sum is σ = 75498350400. Its totient is φ = 13596291072.

The previous prime is 32504420027. The next prime is 32504420083. The reversal of 32504420032 is 23002440523.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 32504419979 and 32504420006.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4674094 + ... + 4681042.

Almost surely, 232504420032 is an apocalyptic number.

32504420032 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 32504420032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37749175200).

32504420032 is an abundant number, since it is smaller than the sum of its proper divisors (42993930368).

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

32504420032 is a wasteful number, since it uses less digits than its factorization.

32504420032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7218 (or 7208 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 25.

Adding to 32504420032 its reverse (23002440523), we get a palindrome (55506860555).

The spelling of 32504420032 in words is "thirty-two billion, five hundred four million, four hundred twenty thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 53 56 64 106 112 197 212 224 371 394 424 448 742 788 848 1379 1484 1576 1696 2758 2968 3152 3392 5516 5936 6304 6949 10441 11032 11872 12608 13898 20882 22064 23744 27796 41764 44128 48643 55592 73087 83528 88256 97286 111184 146174 167056 194572 222368 292348 334112 368297 389144 444736 584696 668224 736594 778288 1169392 1368953 1473188 1556576 2338784 2578079 2737906 2946376 3113152 4677568 5156158 5475812 5892752 9582671 10312316 10951624 11785504 19165342 20624632 21903248 23571008 38330684 41249264 43806496 72554509 76661368 82498528 87612992 145109018 153322736 164997056 290218036 306645472 507881563 580436072 613290944 1015763126 1160872144 2031526252 2321744288 4063052504 4643488576 8126105008 16252210016 32504420032