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38066117184 = 2637312283
BaseRepresentation
bin100011011100111010…
…101101101001000000
310122020220010010000000
4203130322231221000
51110424411222214
625253133000000
72515212441324
oct433472555100
9118226103000
1038066117184
1115164370287
127464323000
1337885175c4
141bb1803984
15ecbd34809
hex8dceada40

38066117184 has 336 divisors, whose sum is σ = 117474918720. Its totient is φ = 12236002560.

The previous prime is 38066117123. The next prime is 38066117227. The reversal of 38066117184 is 48171166083.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 134509107 + ... + 134509389.

Almost surely, 238066117184 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 38066117184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58737459360).

38066117184 is an abundant number, since it is smaller than the sum of its proper divisors (79408801536).

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

38066117184 is an frugal number, since it uses more digits than its factorization.

38066117184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 38066117184 in words is "thirty-eight billion, sixty-six million, one hundred seventeen thousand, one hundred eighty-four".