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38773209727980 = 22365713109326737
BaseRepresentation
bin10001101000011100101110…
…11001001000001111101100
312002021200102122121002000000
420310032113121020033230
520040230013142243410
6214244055555104300
711111162165556240
oct1064162731101754
9162250378532000
1038773209727980
1111399698092102
1244226115a2090
1318833b48b12c0
149808c1d44420
154738a80c7dc0
hex2343976483ec

38773209727980 has 672 divisors, whose sum is σ = 150395110099584. Its totient is φ = 8172930834432.

The previous prime is 38773209727939. The next prime is 38773209728009. The reversal of 38773209727980 is 8972790237783.

38773209727980 is a `hidden beast` number, since 3 + 8 + 7 + 73 + 209 + 7 + 279 + 80 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 38773209727899 and 38773209727908.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 1450157172 + ... + 1450183908.

It is an arithmetic number, because the mean of its divisors is an integer number (223802247172).

Almost surely, 238773209727980 is an apocalyptic number.

38773209727980 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 38773209727980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75197555049792).

38773209727980 is an abundant number, since it is smaller than the sum of its proper divisors (111621900371604).

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

38773209727980 is a wasteful number, since it uses less digits than its factorization.

38773209727980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27877 (or 27860 counting only the distinct ones).

The product of its (nonzero) digits is 448084224, while the sum is 72.

The spelling of 38773209727980 in words is "thirty-eight trillion, seven hundred seventy-three billion, two hundred nine million, seven hundred twenty-seven thousand, nine hundred eighty".