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32132136000 = 263531678017
BaseRepresentation
bin11101111011001110…
…010111110001000000
310001221100021122010010
4131323032113301000
51011301311323000
622432235104520
72215156435536
oct357316276100
9101840248103
1032132136000
11126998313a8
126288ba2140
133051025233
1417ab69c156
15c80ddcd50
hex77b397c40

32132136000 has 224 divisors, whose sum is σ = 106748957952. Its totient is φ = 8516198400.

The previous prime is 32132135989. The next prime is 32132136041. The reversal of 32132136000 is 63123123.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4003992 + ... + 4012008.

It is an arithmetic number, because the mean of its divisors is an integer number (476557848).

Almost surely, 232132136000 is an apocalyptic number.

32132136000 is a gapful number since it is divisible by the number (30) 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 32132136000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53374478976).

32132136000 is an abundant number, since it is smaller than the sum of its proper divisors (74616821952).

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

32132136000 is a wasteful number, since it uses less digits than its factorization.

32132136000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8214 (or 8194 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 32132136000 its reverse (63123123), we get a palindrome (32195259123).

The spelling of 32132136000 in words is "thirty-two billion, one hundred thirty-two million, one hundred thirty-six thousand".