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36682343040 = 2735723532239
BaseRepresentation
bin100010001010011100…
…000010001010000000
310111200110022002201210
4202022130002022000
51100111134434130
624503541530120
72436010525350
oct421234021200
9114613262653
1036682343040
1114614254292
127138a13940
1335c792a435
141abdb16b60
15e4a5e75b0
hex88a702280

36682343040 has 512 divisors, whose sum is σ = 142132838400. Its totient is φ = 7865155584.

The previous prime is 36682343003. The next prime is 36682343041. The reversal of 36682343040 is 4034328663.

It is a self number, because there is not a number n which added to its sum of digits gives 36682343040.

It is not an unprimeable number, because it can be changed into a prime (36682343041) 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, 16382241 + ... + 16384479.

It is an arithmetic number, because the mean of its divisors is an integer number (277603200).

Almost surely, 236682343040 is an apocalyptic number.

36682343040 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 36682343040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71066419200).

36682343040 is an abundant number, since it is smaller than the sum of its proper divisors (105450495360).

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

36682343040 is a wasteful number, since it uses less digits than its factorization.

36682343040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2344 (or 2332 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 39.

The spelling of 36682343040 in words is "thirty-six billion, six hundred eighty-two million, three hundred forty-three thousand, forty".