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32540094132 = 2237131031931499
BaseRepresentation
bin11110010011100010…
…100110111010110100
310002222202221001110120
4132103202212322310
51013120231003012
622540531051540
72231242144050
oct362342467264
9102882831416
1032540094132
1112889042387
126381740bb0
1330b76c1b90
141809934c60
15ca6b2458c
hex7938a6eb4

32540094132 has 192 divisors, whose sum is σ = 94907904000. Its totient is φ = 8449007616.

The previous prime is 32540094131. The next prime is 32540094133. The reversal of 32540094132 is 23149004523.

It is an interprime number because it is at equal distance from previous prime (32540094131) and next prime (32540094133).

It is a super-2 number, since 2×325400941322 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 32540094093 and 32540094102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32540094131) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 21707119 + ... + 21708617.

It is an arithmetic number, because the mean of its divisors is an integer number (494312000).

Almost surely, 232540094132 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 32540094132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47453952000).

32540094132 is an abundant number, since it is smaller than the sum of its proper divisors (62367809868).

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

32540094132 is a wasteful number, since it uses less digits than its factorization.

32540094132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1822 (or 1820 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

Adding to 32540094132 its reverse (23149004523), we get a palindrome (55689098655).

The spelling of 32540094132 in words is "thirty-two billion, five hundred forty million, ninety-four thousand, one hundred thirty-two".