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1882940301312 = 2133726125633
BaseRepresentation
bin11011011001100111111…
…111001110000000000000
320200000012100101000121020
4123121213333032000000
5221322230204120222
64001002201225440
7253016005324500
oct33314777160000
96600170330536
101882940301312
11666606791654
12264b14a92280
1310873958b785
14671c5c4da00
1533ea622765c
hex1b667fce000

1882940301312 has 336 divisors, whose sum is σ = 5936580315792. Its totient is φ = 529142906880.

The previous prime is 1882940301293. The next prime is 1882940301313. The reversal of 1882940301312 is 2131030492881.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1882940301313) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73444848 + ... + 73470480.

It is an arithmetic number, because the mean of its divisors is an integer number (17668393797).

Almost surely, 21882940301312 is an apocalyptic number.

1882940301312 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 1882940301312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2968290157896).

1882940301312 is an abundant number, since it is smaller than the sum of its proper divisors (4053640014480).

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

1882940301312 is an equidigital number, since it uses as much as digits as its factorization.

1882940301312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25737 (or 25706 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The spelling of 1882940301312 in words is "one trillion, eight hundred eighty-two billion, nine hundred forty million, three hundred one thousand, three hundred twelve".