Search a number
-
+
153364526164413 = 3320272802253397
BaseRepresentation
bin100010110111101111110110…
…000110100110100110111101
3202010000111122112000212201000
4202313233312012212212331
5130100211022144230123
61302102405104240513
744206135633243344
oct4267576606464675
9663014575025630
10153364526164413
11449595918a6643
121524b0a5610139
13677629c58c595
1429c2c500a4b5b
1512ae56b0e0b43
hex8b7bf61a69bd

153364526164413 has 16 divisors (see below), whose sum is σ = 227318795645760. Its totient is φ = 102192576845328.

The previous prime is 153364526164363. The next prime is 153364526164439. The reversal of 153364526164413 is 314461625463351.

153364526164413 is a `hidden beast` number, since 1 + 5 + 3 + 3 + 6 + 4 + 5 + 2 + 616 + 4 + 4 + 13 = 666.

It is not a de Polignac number, because 153364526164413 - 210 = 153364526163389 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 153364526164413.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153364526164463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1401071970 + ... + 1401181427.

It is an arithmetic number, because the mean of its divisors is an integer number (14207424727860).

Almost surely, 2153364526164413 is an apocalyptic number.

It is an amenable number.

153364526164413 is a deficient number, since it is larger than the sum of its proper divisors (73954269481347).

153364526164413 is a wasteful number, since it uses less digits than its factorization.

153364526164413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2802255433 (or 2802255427 counting only the distinct ones).

The product of its digits is 18662400, while the sum is 54.

The spelling of 153364526164413 in words is "one hundred fifty-three trillion, three hundred sixty-four billion, five hundred twenty-six million, one hundred sixty-four thousand, four hundred thirteen".

Divisors: 1 3 9 27 2027 6081 18243 54729 2802253397 8406760191 25220280573 75660841719 5680167635719 17040502907157 51121508721471 153364526164413