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38987406150 = 235272111273797
BaseRepresentation
bin100100010011110101…
…001001101101000110
310201122002200102212120
4210103311021231012
51114321233444100
625524403230410
72550100325100
oct442365115506
9121562612776
1038987406150
1115597413320
127680978406
1338a4355cc4
141c5bd02570
151032b690a0
hex913d49b46

38987406150 has 288 divisors, whose sum is σ = 123698368512. Its totient is φ = 8035372800.

The previous prime is 38987406083. The next prime is 38987406151. The reversal of 38987406150 is 5160478983.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 38987406093 and 38987406102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38987406151) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 10266052 + ... + 10269848.

It is an arithmetic number, because the mean of its divisors is an integer number (429508224).

Almost surely, 238987406150 is an apocalyptic number.

38987406150 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 38987406150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61849184256).

38987406150 is an abundant number, since it is smaller than the sum of its proper divisors (84710962362).

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

38987406150 is a wasteful number, since it uses less digits than its factorization.

38987406150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3964 (or 3952 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 51.

The spelling of 38987406150 in words is "thirty-eight billion, nine hundred eighty-seven million, four hundred six thousand, one hundred fifty".