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32132144096 = 2513659117209
BaseRepresentation
bin11101111011001110…
…011001101111100000
310001221100022001012222
4131323032121233200
51011301312102341
622432235210212
72215156501253
oct357316315740
9101840261188
1032132144096
1112699837498
126288ba6968
133051028b20
1417ab6a109a
15c80de044b
hex77b399be0

32132144096 has 48 divisors (see below), whose sum is σ = 68230285200. Its totient is φ = 14807589888.

The previous prime is 32132144081. The next prime is 32132144171. The reversal of 32132144096 is 69044123123.

It is a super-2 number, since 2×321321440962 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

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, 215540 + ... + 332748.

It is an arithmetic number, because the mean of its divisors is an integer number (1421464275).

Almost surely, 232132144096 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 32132144096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34115142600).

32132144096 is an abundant number, since it is smaller than the sum of its proper divisors (36098141104).

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

32132144096 is a wasteful number, since it uses less digits than its factorization.

32132144096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117891 (or 117883 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 35.

The spelling of 32132144096 in words is "thirty-two billion, one hundred thirty-two million, one hundred forty-four thousand, ninety-six".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 659 1318 2636 5272 8567 10544 17134 21088 34268 68536 117209 137072 234418 274144 468836 937672 1523717 1875344 3047434 3750688 6094868 12189736 24379472 48758944 77240731 154481462 308962924 617925848 1004129503 1235851696 2008259006 2471703392 4016518012 8033036024 16066072048 32132144096