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1039428783360 = 283251129282847
BaseRepresentation
bin11110010000000101100…
…10001000110100000000
310200100221120122011001200
433020002302020310000
5114012222232031420
62113301302101200
7135045004611132
oct17100262106400
93610846564050
101039428783360
113709014a5470
1214954671a800
137702cbbc796
1438446c01052
151c088018b90
hexf202c88d00

1039428783360 has 432 divisors, whose sum is σ = 4058552010240. Its totient is φ = 243292815360.

The previous prime is 1039428783359. The next prime is 1039428783383. The reversal of 1039428783360 is 633878249301.

1039428783360 is a `hidden beast` number, since 103 + 9 + 428 + 7 + 83 + 36 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1039428783297 and 1039428783306.

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 47 ways as a sum of consecutive naturals, for example, 3533457 + ... + 3816303.

It is an arithmetic number, because the mean of its divisors is an integer number (9394796320).

Almost surely, 21039428783360 is an apocalyptic number.

1039428783360 is a gapful number since it is divisible by the number (10) 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 1039428783360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2029276005120).

1039428783360 is an abundant number, since it is smaller than the sum of its proper divisors (3019123226880).

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

1039428783360 is a wasteful number, since it uses less digits than its factorization.

1039428783360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282914 (or 282897 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 1039428783360 in words is "one trillion, thirty-nine billion, four hundred twenty-eight million, seven hundred eighty-three thousand, three hundred sixty".