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1914772449942 = 233113175926561
BaseRepresentation
bin11011110111010001010…
…101001110101010010110
320210001100210011201102000
4123313101111032222112
5222332423221344232
64023345002500130
7255223563165522
oct33672125165226
96701323151360
101914772449942
11679061148000
1226b119504646
1310b7403bb891
146896573cd82
1534c1ab0a27c
hex1bdd154ea96

1914772449942 has 256 divisors, whose sum is σ = 5039725132800. Its totient is φ = 536826470400.

The previous prime is 1914772449923. The next prime is 1914772449943. The reversal of 1914772449942 is 2499442774191.

1914772449942 is a `hidden beast` number, since 1 + 9 + 14 + 77 + 24 + 499 + 42 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1914772449942.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1914772449943) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 72076342 + ... + 72102902.

It is an arithmetic number, because the mean of its divisors is an integer number (19686426300).

Almost surely, 21914772449942 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1914772449942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2519862566400).

1914772449942 is an abundant number, since it is smaller than the sum of its proper divisors (3124952682858).

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

1914772449942 is a wasteful number, since it uses less digits than its factorization.

1914772449942 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26681 (or 26653 counting only the distinct ones).

The product of its digits is 36578304, while the sum is 63.

The spelling of 1914772449942 in words is "one trillion, nine hundred fourteen billion, seven hundred seventy-two million, four hundred forty-nine thousand, nine hundred forty-two".