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10374397668 = 2232288177713
BaseRepresentation
bin10011010100101110…
…01011111011100100
3222210000021000011200
421222113023323210
5132221321211133
64433235202500
7515041632225
oct115227137344
928700230150
1010374397668
114444093578
122016446430
13c9443665b
14705b8124c
1540abb5913
hex26a5cbee4

10374397668 has 18 divisors (see below), whose sum is σ = 26224171974. Its totient is φ = 3458132544.

The previous prime is 10374397661. The next prime is 10374397697. The reversal of 10374397668 is 86679347301.

It can be written as a sum of positive squares in only one way, i.e., 10316058624 + 58339044 = 101568^2 + 7638^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (10374397661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 144088821 + ... + 144088892.

It is an arithmetic number, because the mean of its divisors is an integer number (1456898443).

Almost surely, 210374397668 is an apocalyptic number.

10374397668 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10374397668 is an abundant number, since it is smaller than the sum of its proper divisors (15849774306).

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

10374397668 is a wasteful number, since it uses less digits than its factorization.

10374397668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288177723 (or 288177718 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 10374397668 in words is "ten billion, three hundred seventy-four million, three hundred ninety-seven thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 288177713 576355426 864533139 1152710852 1729066278 2593599417 3458132556 5187198834 10374397668