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1382500896192 = 263313149341221
BaseRepresentation
bin10100000111100011011…
…110011000110111000000
311220011110212100012212000
4110013203132120313000
5140122330212134232
62535040120104000
7201611442503463
oct24074336306700
94804425305760
101382500896192
11493351794629
121a3b30905000
13a04a53b3590
144acb05292da
1525e66c4a27c
hex141e3798dc0

1382500896192 has 224 divisors, whose sum is σ = 4379972708160. Its totient is φ = 425089658880.

The previous prime is 1382500896169. The next prime is 1382500896221. The reversal of 1382500896192 is 2916980052831.

1382500896192 is a `hidden beast` number, since 1 + 38 + 2 + 500 + 8 + 96 + 19 + 2 = 666.

It is a super-2 number, since 2×13825008961922 (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 33518142 + ... + 33559362.

It is an arithmetic number, because the mean of its divisors is an integer number (19553449590).

Almost surely, 21382500896192 is an apocalyptic number.

1382500896192 is a gapful number since it is divisible by the number (12) 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 1382500896192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2189986354080).

1382500896192 is an abundant number, since it is smaller than the sum of its proper divisors (2997471811968).

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

1382500896192 is a wasteful number, since it uses less digits than its factorization.

1382500896192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42748 (or 42732 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 1382500896192 in words is "one trillion, three hundred eighty-two billion, five hundred million, eight hundred ninety-six thousand, one hundred ninety-two".