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38286797472 = 2534711191833
BaseRepresentation
bin100011101010000100…
…100010101010100000
310122211021100211110000
4203222010202222200
51111402410004342
625331054540000
72523532260150
oct435204425240
9118737324400
1038286797472
1115267998690
127506207600
1337c2162861
141bd2c4a760
15ee13c644c
hex8ea122aa0

38286797472 has 240 divisors, whose sum is σ = 140385655872. Its totient is φ = 9944570880.

The previous prime is 38286797449. The next prime is 38286797509. The reversal of 38286797472 is 27479768283.

38286797472 is a `hidden beast` number, since 3 + 82 + 86 + 7 + 9 + 7 + 472 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 103668 + ... + 295500.

Almost surely, 238286797472 is an apocalyptic number.

38286797472 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 38286797472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70192827936).

38286797472 is an abundant number, since it is smaller than the sum of its proper divisors (102098858400).

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

38286797472 is a wasteful number, since it uses less digits than its factorization.

38286797472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191873 (or 191856 counting only the distinct ones).

The product of its digits is 56899584, while the sum is 63.

The spelling of 38286797472 in words is "thirty-eight billion, two hundred eighty-six million, seven hundred ninety-seven thousand, four hundred seventy-two".