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216136069632 = 2933743127409
BaseRepresentation
bin1100100101001010110…
…1101011001000000000
3202122212220010221202000
43021102231223020000
512020121313212012
6243142550024000
721421024164540
oct3112255531000
9678786127660
10216136069632
11837321a413a
1235a7b648000
13174c6337782
14a665153320
15594ed96ddc
hex3252b6b200

216136069632 has 640 divisors, whose sum is σ = 755913523200. Its totient is φ = 59695792128.

The previous prime is 216136069631. The next prime is 216136069661. The reversal of 216136069632 is 236960631612.

216136069632 is a `hidden beast` number, since 2 + 1 + 6 + 1 + 3 + 6 + 0 + 6 + 9 + 632 = 666.

It is not an unprimeable number, because it can be changed into a prime (216136069631) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 528449844 + ... + 528450252.

It is an arithmetic number, because the mean of its divisors is an integer number (1181114880).

Almost surely, 2216136069632 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 216136069632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377956761600).

216136069632 is an abundant number, since it is smaller than the sum of its proper divisors (539777453568).

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

216136069632 is a wasteful number, since it uses less digits than its factorization.

216136069632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 613 (or 591 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The spelling of 216136069632 in words is "two hundred sixteen billion, one hundred thirty-six million, sixty-nine thousand, six hundred thirty-two".