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38282452992 = 21332774177
BaseRepresentation
bin100011101001110011…
…111110000000000000
310122210222012002221100
4203221303332000000
51111400301443432
625330421454400
72523450324060
oct435163760000
9118728162840
1038282452992
11152654a0603
127504871400
1337c12a1264
141bd24393a0
15ee0d1907c
hex8e9cfe000

38282452992 has 168 divisors, whose sum is σ = 126386850096. Its totient is φ = 10937696256.

The previous prime is 38282452979. The next prime is 38282452997. The reversal of 38282452992 is 29925428283.

It is a happy number.

38282452992 is a `hidden beast` number, since 3 + 8 + 2 + 8 + 24 + 529 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38282452997) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 479008 + ... + 553184.

Almost surely, 238282452992 is an apocalyptic number.

38282452992 is a gapful number since it is divisible by the number (32) 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 38282452992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63193425048).

38282452992 is an abundant number, since it is smaller than the sum of its proper divisors (88104397104).

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

38282452992 is an equidigital number, since it uses as much as digits as its factorization.

38282452992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74216 (or 74189 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 54.

The spelling of 38282452992 in words is "thirty-eight billion, two hundred eighty-two million, four hundred fifty-two thousand, nine hundred ninety-two".