Search a number
-
+
536152434354513 = 324115732213287297
BaseRepresentation
bin111100111101000001011011…
…1011001010010100101010001
32121022100200010222221111021200
41321322002313121102211101
51030233310141143321023
65140145010021141413
7220634510064606114
oct17172026731224521
92538320128844250
10536152434354513
1114591aa74800a59
1250171b2555a869
131a021c5ab68b22
149657cb83ca57b
1541eb84dcee743
hex1e7a0b7652951

536152434354513 has 48 divisors (see below), whose sum is σ = 798411873154896. Its totient is φ = 346483940474880.

The previous prime is 536152434354479. The next prime is 536152434354587. The reversal of 536152434354513 is 315453434251635.

It is a happy number.

536152434354513 is a `hidden beast` number, since 5 + 3 + 6 + 1 + 5 + 2 + 43 + 43 + 545 + 13 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 37142601147729 + 499009833206784 = 6094473^2 + 22338528^2 .

It is not a de Polignac number, because 536152434354513 - 221 = 536152432257361 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 536152434354513.

It is not an unprimeable number, because it can be changed into a prime (536152434359513) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1866052081 + ... + 1866339377.

It is an arithmetic number, because the mean of its divisors is an integer number (16633580690727).

Almost surely, 2536152434354513 is an apocalyptic number.

It is an amenable number.

536152434354513 is a deficient number, since it is larger than the sum of its proper divisors (262259438800383).

536152434354513 is a wasteful number, since it uses less digits than its factorization.

536152434354513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319714 (or 319711 counting only the distinct ones).

The product of its digits is 38880000, while the sum is 54.

The spelling of 536152434354513 in words is "five hundred thirty-six trillion, one hundred fifty-two billion, four hundred thirty-four million, three hundred fifty-four thousand, five hundred thirteen".

Divisors: 1 3 9 41 123 157 369 471 1413 6437 19311 32213 57933 96639 287297 289917 861891 1320733 2585673 3962199 5057441 11779177 11886597 15172323 35337531 45105629 45516969 106012593 135316887 207355081 405950661 622065243 1849330789 1866195729 5547992367 9254698261 16643977101 27764094783 83292284349 379442628701 1138327886103 1452987626977 3414983658309 4358962880931 13076888642793 59572492706057 178717478118171 536152434354513