Search a number
-
+
213553401632 = 2541329949339
BaseRepresentation
bin1100011011100011000…
…1100100111100100000
3202102012220101211021122
43012320301210330200
511444324132323012
6242034410311412
721300023651324
oct3067061447440
9672186354248
10213553401632
118262736747a
123547a728568
13171a425275c
14a49c143984
15584d28be72
hex31b8c64f20

213553401632 has 48 divisors (see below), whose sum is σ = 430827012000. Its totient is φ = 104138703360.

The previous prime is 213553401613. The next prime is 213553401641. The reversal of 213553401632 is 236104355312.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 213553401592 and 213553401601.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4303619 + ... + 4352957.

It is an arithmetic number, because the mean of its divisors is an integer number (8975562750).

Almost surely, 2213553401632 is an apocalyptic number.

It is an amenable number.

213553401632 is an abundant number, since it is smaller than the sum of its proper divisors (217273610368).

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

213553401632 is a wasteful number, since it uses less digits than its factorization.

213553401632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52689 (or 52681 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 35.

Adding to 213553401632 its reverse (236104355312), we get a palindrome (449657756944).

The spelling of 213553401632 in words is "two hundred thirteen billion, five hundred fifty-three million, four hundred one thousand, six hundred thirty-two".

Divisors: 1 2 4 8 16 32 41 82 164 328 656 1312 3299 6598 13196 26392 49339 52784 98678 105568 135259 197356 270518 394712 541036 789424 1082072 1578848 2022899 2164144 4045798 4328288 8091596 16183192 32366384 64732768 162769361 325538722 651077444 1302154888 2604309776 5208619552 6673543801 13347087602 26694175204 53388350408 106776700816 213553401632