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1942638867936 = 2532132197129587
BaseRepresentation
bin11100010001001110010…
…011001011010111100000
320212201021211202102111100
4130101032103023113200
5223312011022233221
64044234100514400
7260231254632624
oct34211623132740
96781254672440
101942638867936
11689960aa6318
122745b59aba00
13111261738600
146a04a679184
15357ec286926
hex1c44e4cb5e0

1942638867936 has 432 divisors, whose sum is σ = 6385767373440. Its totient is φ = 558280719360.

The previous prime is 1942638867929. The next prime is 1942638867941. The reversal of 1942638867936 is 6397688362491.

1942638867936 is a `hidden beast` number, since 1 + 9 + 426 + 38 + 86 + 7 + 93 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 71 ways as a sum of consecutive naturals, for example, 65643735 + ... + 65673321.

It is an arithmetic number, because the mean of its divisors is an integer number (14781868920).

Almost surely, 21942638867936 is an apocalyptic number.

1942638867936 is a gapful number since it is divisible by the number (16) 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 1942638867936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3192883686720).

1942638867936 is an abundant number, since it is smaller than the sum of its proper divisors (4443128505504).

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

1942638867936 is a wasteful number, since it uses less digits than its factorization.

1942638867936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29719 (or 29695 counting only the distinct ones).

The product of its digits is 564350976, while the sum is 72.

The spelling of 1942638867936 in words is "one trillion, nine hundred forty-two billion, six hundred thirty-eight million, eight hundred sixty-seven thousand, nine hundred thirty-six".