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107728851384 = 233271161461691
BaseRepresentation
bin110010001010100100…
…0111101000110111000
3101022001210211200011200
41210111020331012320
53231112041221014
6121253455054200
710532423061630
oct1442510750670
9338053750150
10107728851384
1141762145590
1218a66211360
13a20ab16c9b
1452dd7056c0
152c07a24a09
hex191523d1b8

107728851384 has 384 divisors, whose sum is σ = 371061250560. Its totient is φ = 27423360000.

The previous prime is 107728851383. The next prime is 107728851493. The reversal of 107728851384 is 483158827701.

It is a self number, because there is not a number n which added to its sum of digits gives 107728851384.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107728851383) 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 95 ways as a sum of consecutive naturals, for example, 155902479 + ... + 155903169.

It is an arithmetic number, because the mean of its divisors is an integer number (966305340).

Almost surely, 2107728851384 is an apocalyptic number.

107728851384 is a gapful number since it is divisible by the number (14) 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 107728851384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185530625280).

107728851384 is an abundant number, since it is smaller than the sum of its proper divisors (263332399176).

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

107728851384 is a wasteful number, since it uses less digits than its factorization.

107728851384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1243 (or 1236 counting only the distinct ones).

The product of its (nonzero) digits is 3010560, while the sum is 54.

The spelling of 107728851384 in words is "one hundred seven billion, seven hundred twenty-eight million, eight hundred fifty-one thousand, three hundred eighty-four".