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1054492883136 = 263471123161127
BaseRepresentation
bin11110101100001001010…
…11000111100011000000
310201210211102101201010000
433112010223013203000
5114234100134230021
62124232150040000
7136120213421310
oct17260453074300
93653742351100
101054492883136
11377231818600
1215044b649000
1378590abc8a4
143907574d440
151c66a790b26
hexf584ac78c0

1054492883136 has 1680 divisors, whose sum is σ = 4152239128576. Its totient is φ = 258660864000.

The previous prime is 1054492883123. The next prime is 1054492883137. The reversal of 1054492883136 is 6313882944501.

It is a happy number.

1054492883136 is a `hidden beast` number, since 1 + 0 + 5 + 4 + 49 + 288 + 313 + 6 = 666.

It is a super-2 number, since 2×10544928831362 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1054492883137) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 8303093505 + ... + 8303093631.

Almost surely, 21054492883136 is an apocalyptic number.

1054492883136 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 1054492883136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2076119564288).

1054492883136 is an abundant number, since it is smaller than the sum of its proper divisors (3097746245440).

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

1054492883136 is a wasteful number, since it uses less digits than its factorization.

1054492883136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 1054492883136 in words is "one trillion, fifty-four billion, four hundred ninety-two million, eight hundred eighty-three thousand, one hundred thirty-six".