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1382920334250 = 235371319237241
BaseRepresentation
bin10100000111111100011…
…110011010101110101010
311220012120002120212200220
4110013330132122232222
5140124210101144000
62535145502110510
7201625024614120
oct24077436325652
94805502525626
101382920334250
11493547526654
121a402927b436
13a054126c590
144ad1010d910
1525e8d99d1a0
hex141fc79abaa

1382920334250 has 1152 divisors, whose sum is σ = 4720545962496. Its totient is φ = 262393344000.

The previous prime is 1382920334239. The next prime is 1382920334281. The reversal of 1382920334250 is 524330292831.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 33729764230 + ... + 33729764270.

It is an arithmetic number, because the mean of its divisors is an integer number (4097696148).

Almost surely, 21382920334250 is an apocalyptic number.

1382920334250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1382920334250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2360272981248).

1382920334250 is an abundant number, since it is smaller than the sum of its proper divisors (3337625628246).

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

1382920334250 is a wasteful number, since it uses less digits than its factorization.

1382920334250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The spelling of 1382920334250 in words is "one trillion, three hundred eighty-two billion, nine hundred twenty million, three hundred thirty-four thousand, two hundred fifty".