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32130320208 = 2437647147799
BaseRepresentation
bin11101111011000111…
…011100011101010000
310001221012212101022120
4131323013130131100
51011300330221313
622432132134240
72215135133640
oct357307343520
9101835771276
1032130320208
1112698801148
126288467380
13305083a8bc
1417ab348520
15c80b7ed23
hex77b1dc750

32130320208 has 80 divisors (see below), whose sum is σ = 95008204800. Its totient is φ = 9165840768.

The previous prime is 32130320203. The next prime is 32130320213. The reversal of 32130320208 is 80202303123.

It is an interprime number because it is at equal distance from previous prime (32130320203) and next prime (32130320213).

It is a super-2 number, since 2×321303202082 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32130320203) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 143493 + ... + 291291.

It is an arithmetic number, because the mean of its divisors is an integer number (1187602560).

Almost surely, 232130320208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32130320208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47504102400).

32130320208 is an abundant number, since it is smaller than the sum of its proper divisors (62877884592).

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

32130320208 is a wasteful number, since it uses less digits than its factorization.

32130320208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148464 (or 148458 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The spelling of 32130320208 in words is "thirty-two billion, one hundred thirty million, three hundred twenty thousand, two hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 647 1294 1941 2588 3882 4529 5176 7764 9058 10352 13587 15528 18116 27174 31056 36232 54348 72464 108696 147799 217392 295598 443397 591196 886794 1034593 1182392 1773588 2069186 2364784 3103779 3547176 4138372 6207558 7094352 8276744 12415116 16553488 24830232 49660464 95625953 191251906 286877859 382503812 573755718 669381671 765007624 1147511436 1338763342 1530015248 2008145013 2295022872 2677526684 4016290026 4590045744 5355053368 8032580052 10710106736 16065160104 32130320208