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10427394978 = 23371121321971
BaseRepresentation
bin10011011011000010…
…10110101110100010
3222220200222112211000
421231201112232202
5132323403114403
64442411132430
7516254252310
oct115541265642
928820875730
1010427394978
114470aa1200
122030144116
13ca2401100
1470cc190b0
154106837a3
hex26d856ba2

10427394978 has 576 divisors, whose sum is σ = 33646233600. Its totient is φ = 2335132800.

The previous prime is 10427394881. The next prime is 10427394979. The reversal of 10427394978 is 87949372401.

10427394978 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (10427394979) 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 287 ways as a sum of consecutive naturals, for example, 146864683 + ... + 146864753.

It is an arithmetic number, because the mean of its divisors is an integer number (58413600).

Almost surely, 210427394978 is an apocalyptic number.

10427394978 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10427394978, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16823116800).

10427394978 is an abundant number, since it is smaller than the sum of its proper divisors (23218838622).

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

10427394978 is a wasteful number, since it uses less digits than its factorization.

10427394978 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 10427394978 in words is "ten billion, four hundred twenty-seven million, three hundred ninety-four thousand, nine hundred seventy-eight".