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1053878042448 = 243273112199281
BaseRepresentation
bin11110101011000000000…
…01101011111101010000
310201202020120110120020200
433111200001223331100
5114231320234324243
62124051143535200
7136066036362000
oct17254001537520
93652216416220
101053878042448
11376a46753700
121502b975a500
13784c35c902a
1439017c22000
151c6317e0ad3
hexf56006bf50

1053878042448 has 720 divisors, whose sum is σ = 3980047344000. Its totient is φ = 259299532800.

The previous prime is 1053878042423. The next prime is 1053878042453. The reversal of 1053878042448 is 8442408783501.

1053878042448 is a `hidden beast` number, since 1 + 0 + 5 + 3 + 87 + 80 + 42 + 448 = 666.

It is a super-2 number, since 2×10538780424482 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1053878042394 and 1053878042403.

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 143 ways as a sum of consecutive naturals, for example, 113547568 + ... + 113556848.

Almost surely, 21053878042448 is an apocalyptic number.

1053878042448 is a gapful number since it is divisible by the number (18) 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 1053878042448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1990023672000).

1053878042448 is an abundant number, since it is smaller than the sum of its proper divisors (2926169301552).

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

1053878042448 is a wasteful number, since it uses less digits than its factorization.

1053878042448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9357 (or 9323 counting only the distinct ones).

The product of its (nonzero) digits is 6881280, while the sum is 54.

The spelling of 1053878042448 in words is "one trillion, fifty-three billion, eight hundred seventy-eight million, forty-two thousand, four hundred forty-eight".