Search a number
-
+
53145113541 = 31319210934631
BaseRepresentation
bin110001011111101100…
…100001001111000101
312002011202220111022120
4301133230201033011
51332320122113131
640225312120153
73560662003662
oct613754411705
9162152814276
1053145113541
11205a2038443
12a372236059
13501c531c60
14280230ca69
1515b0a50496
hexc5fb213c5

53145113541 has 48 divisors (see below), whose sum is σ = 81279918720. Its totient is φ = 30698248320.

The previous prime is 53145113537. The next prime is 53145113551. The reversal of 53145113541 is 14531154135.

It is a happy number.

It is not a de Polignac number, because 53145113541 - 22 = 53145113537 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53145113551) 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 47 ways as a sum of consecutive naturals, for example, 1517296 + ... + 1551926.

It is an arithmetic number, because the mean of its divisors is an integer number (1693331640).

Almost surely, 253145113541 is an apocalyptic number.

It is an amenable number.

53145113541 is a deficient number, since it is larger than the sum of its proper divisors (28134805179).

53145113541 is a wasteful number, since it uses less digits than its factorization.

53145113541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34794 (or 34775 counting only the distinct ones).

The product of its digits is 18000, while the sum is 33.

Adding to 53145113541 its reverse (14531154135), we get a palindrome (67676267676).

The spelling of 53145113541 in words is "fifty-three billion, one hundred forty-five million, one hundred thirteen thousand, five hundred forty-one".

Divisors: 1 3 13 19 39 57 109 247 327 361 741 1083 1417 2071 4251 4693 6213 14079 26923 34631 39349 80769 103893 118047 450203 511537 657989 1350609 1534611 1973967 3774779 8553857 11324337 12501791 25661571 37505373 49072127 71720801 147216381 162523283 215162403 487569849 932370413 1362695219 2797111239 4088085657 17715037847 53145113541