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4895768096 = 254314923879
BaseRepresentation
bin1001000111100111…
…10111111000100000
3110122012020210021022
410203303313320200
540011304034341
62125445145012
7232215225242
oct44363677040
913565223238
104895768096
11209259603a
12b476bb168
13600395acb
143462cc092
151d9c17e4b
hex123cf7e20

4895768096 has 48 divisors (see below), whose sum is σ = 9929304000. Its totient is φ = 2374810368.

The previous prime is 4895768089. The next prime is 4895768107. The reversal of 4895768096 is 6908675984.

It is a super-3 number, since 3×48957680963 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 193085 + ... + 216963.

It is an arithmetic number, because the mean of its divisors is an integer number (206860500).

Almost surely, 24895768096 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 4895768096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4964652000).

4895768096 is an abundant number, since it is smaller than the sum of its proper divisors (5033535904).

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

4895768096 is a wasteful number, since it uses less digits than its factorization.

4895768096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24081 (or 24073 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 62.

The square root of 4895768096 is about 69969.7655848582. The cubic root of 4895768096 is about 1698.0101395850.

The spelling of 4895768096 in words is "four billion, eight hundred ninety-five million, seven hundred sixty-eight thousand, ninety-six".

Divisors: 1 2 4 8 16 32 43 86 149 172 298 344 596 688 1192 1376 2384 4768 6407 12814 23879 25628 47758 51256 95516 102512 191032 205024 382064 764128 1026797 2053594 3557971 4107188 7115942 8214376 14231884 16428752 28463768 32857504 56927536 113855072 152992753 305985506 611971012 1223942024 2447884048 4895768096