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4181000192 = 216131487
BaseRepresentation
bin1111100100110101…
…0000000000000000
3101210101021211000222
43321031100000000
532030314001232
61530513202212
7205415625635
oct37115200000
911711254028
104181000192
11185607a366
12988260368
13518285915
142b93cc18c
151970c9d12
hexf9350000

4181000192 has 68 divisors (see below), whose sum is σ = 8443069536. Its totient is φ = 2070282240.

The previous prime is 4181000183. The next prime is 4181000227. The reversal of 4181000192 is 2910001814.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8584973 + ... + 8585459.

Almost surely, 24181000192 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 4181000192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4221534768).

4181000192 is an abundant number, since it is smaller than the sum of its proper divisors (4262069344).

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

4181000192 is an frugal number, since it uses more digits than its factorization.

4181000192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 650 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 26.

The square root of 4181000192 is about 64660.6541259830. The cubic root of 4181000192 is about 1610.9920447470.

The spelling of 4181000192 in words is "four billion, one hundred eighty-one million, one hundred ninety-two", and thus it is an aban number.

Divisors: 1 2 4 8 16 32 64 128 131 256 262 487 512 524 974 1024 1048 1948 2048 2096 3896 4096 4192 7792 8192 8384 15584 16384 16768 31168 32768 33536 62336 63797 65536 67072 124672 127594 134144 249344 255188 268288 498688 510376 536576 997376 1020752 1073152 1994752 2041504 2146304 3989504 4083008 4292608 7979008 8166016 8585216 15958016 16332032 31916032 32664064 65328128 130656256 261312512 522625024 1045250048 2090500096 4181000192