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146553642213 = 31137145982267
BaseRepresentation
bin1000100001111101000…
…1110001110011100101
3112000021120112101202120
42020133101301303211
54400120213022323
6151154213100153
713405510255626
oct2103721616345
9460246471676
10146553642213
115717578a580
12244a0627659
1310a87574cb4
147143b97a4d
153c2b26b5e3
hex221f471ce5

146553642213 has 32 divisors (see below), whose sum is σ = 219082974720. Its totient is φ = 86359556160.

The previous prime is 146553642181. The next prime is 146553642281. The reversal of 146553642213 is 312246355641.

146553642213 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 146553642213 - 25 = 146553642181 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146553642113) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1740306 + ... + 1822572.

It is an arithmetic number, because the mean of its divisors is an integer number (6846342960).

Almost surely, 2146553642213 is an apocalyptic number.

It is an amenable number.

146553642213 is a deficient number, since it is larger than the sum of its proper divisors (72529332507).

146553642213 is a wasteful number, since it uses less digits than its factorization.

146553642213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83777.

The product of its digits is 518400, while the sum is 42.

Adding to 146553642213 its reverse (312246355641), we get a palindrome (458799997854).

The spelling of 146553642213 in words is "one hundred forty-six billion, five hundred fifty-three million, six hundred forty-two thousand, two hundred thirteen".

Divisors: 1 3 11 33 37 111 407 1221 1459 4377 16049 48147 53983 82267 161949 246801 593813 904937 1781439 2714811 3043879 9131637 33482669 100448007 120027553 360082659 1320303083 3960909249 4441019461 13323058383 48851214071 146553642213