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2153553512 = 231110122399
BaseRepresentation
bin1000000001011100…
…1001111001101000
312120002021212001012
42000113021321220
513402302203022
6553410043052
7104236621445
oct20027117150
95502255035
102153553512
11a056966a0
12501279488
1328421b826
1416602a9cc
15c90e4de2
hex805c9e68

2153553512 has 48 divisors (see below), whose sum is σ = 4450896000. Its totient is φ = 968792000.

The previous prime is 2153553487. The next prime is 2153553529.

2153553512 is nontrivially palindromic in base 10.

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 11 ways as a sum of consecutive naturals, for example, 896489 + ... + 898887.

It is an arithmetic number, because the mean of its divisors is an integer number (92727000).

Almost surely, 22153553512 is an apocalyptic number.

2153553512 is a gapful number since it is divisible by the number (22) 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 2153553512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2225448000).

2153553512 is an abundant number, since it is smaller than the sum of its proper divisors (2297342488).

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

2153553512 is a wasteful number, since it uses less digits than its factorization.

2153553512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2618 (or 2513 counting only the distinct ones).

The product of its digits is 22500, while the sum is 32.

The square root of 2153553512 is about 46406.3951627359. The cubic root of 2153553512 is about 1291.3735568856.

The spelling of 2153553512 in words is "two billion, one hundred fifty-three million, five hundred fifty-three thousand, five hundred twelve".

Divisors: 1 2 4 8 11 22 44 88 101 202 404 808 1111 2222 2399 4444 4798 8888 9596 10201 19192 20402 26389 40804 52778 81608 105556 112211 211112 224422 242299 448844 484598 897688 969196 1938392 2665289 5330578 10661156 21322312 24472199 48944398 97888796 195777592 269194189 538388378 1076776756 2153553512