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1942640469792 = 25321143191197379
BaseRepresentation
bin11100010001001110011…
…001010010011100100000
320212201021221202210211100
4130101032121102130200
5223312011430013132
64044234155114400
7260231304354021
oct34211631223440
96781257683740
101942640469792
1168996199a870
122745b6442a00
13111261b79759
146a04a974c48
15357ec4a137c
hex1c44e652720

1942640469792 has 576 divisors, whose sum is σ = 6246947266560. Its totient is φ = 567573350400.

The previous prime is 1942640469703. The next prime is 1942640469851. The reversal of 1942640469792 is 2979640462491.

1942640469792 is a `hidden beast` number, since 1 + 9 + 42 + 6 + 40 + 469 + 7 + 92 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5125700259 + ... + 5125700637.

It is an arithmetic number, because the mean of its divisors is an integer number (10845394560).

Almost surely, 21942640469792 is an apocalyptic number.

1942640469792 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 1942640469792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3123473633280).

1942640469792 is an abundant number, since it is smaller than the sum of its proper divisors (4304306796768).

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

1942640469792 is a wasteful number, since it uses less digits than its factorization.

1942640469792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 837 (or 826 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 63.

The spelling of 1942640469792 in words is "one trillion, nine hundred forty-two billion, six hundred forty million, four hundred sixty-nine thousand, seven hundred ninety-two".