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1052872611840 = 211335722331109
BaseRepresentation
bin11110101001001000001…
…10010001100000000000
310201122122111120101202000
433110210012101200000
5114222240342034330
62123403310024000
7136032110352300
oct17244406214000
93648574511660
101052872611840
11376580160815
12150078aa8000
137839320a08a
1438d6049d600
151c5c33da560
hexf524191800

1052872611840 has 2304 divisors, whose sum is σ = 4732535808000. Its totient is φ = 220723937280.

The previous prime is 1052872611839. The next prime is 1052872611899. The reversal of 1052872611840 is 481162782501.

1052872611840 is a `hidden beast` number, since 1 + 0 + 5 + 28 + 7 + 2 + 611 + 8 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-2 number, since 2×10528726118402 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9659381706 + ... + 9659381814.

It is an arithmetic number, because the mean of its divisors is an integer number (2054052000).

Almost surely, 21052872611840 is an apocalyptic number.

1052872611840 is a gapful number since it is divisible by the number (10) 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 1052872611840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2366267904000).

1052872611840 is an abundant number, since it is smaller than the sum of its proper divisors (3679663196160).

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

1052872611840 is a wasteful number, since it uses less digits than its factorization.

1052872611840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 1052872611840 in words is "one trillion, fifty-two billion, eight hundred seventy-two million, six hundred eleven thousand, eight hundred forty".