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103274257944 = 2331121323831433
BaseRepresentation
bin110000000101110100…
…0000001111000011000
3100212120100201212202110
41200023220001320120
53143001202223234
6115235445432320
710314142465014
oct1401350017030
9325510655673
10103274257944
113a886698600
121802240b6a0
13997ac7ab90
144dd9c59544
152a469051e9
hex180ba01e18

103274257944 has 384 divisors, whose sum is σ = 322976263680. Its totient is φ = 27279943680.

The previous prime is 103274257913. The next prime is 103274257951. The reversal of 103274257944 is 449752472301.

103274257944 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 103274257893 and 103274257902.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 72067852 + ... + 72069284.

It is an arithmetic number, because the mean of its divisors is an integer number (841084020).

Almost surely, 2103274257944 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 103274257944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161488131840).

103274257944 is an abundant number, since it is smaller than the sum of its proper divisors (219702005736).

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

103274257944 is a wasteful number, since it uses less digits than its factorization.

103274257944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1583 (or 1568 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 48.

The spelling of 103274257944 in words is "one hundred three billion, two hundred seventy-four million, two hundred fifty-seven thousand, nine hundred forty-four".