Search a number
-
+
153413025345 = 325191011776539
BaseRepresentation
bin1000111011100000100…
…0001111111001000001
3112122222121200011110200
42032320020033321001
510003142213302340
6154251005315413
714040501125316
oct2167010177101
9478877604420
10153413025345
115a075720658
1225895865b69
131160b6b5b98
1475d4b8cd0d
153ecd55b330
hex23b820fe41

153413025345 has 48 divisors (see below), whose sum is σ = 282683044800. Its totient is φ = 76746441600.

The previous prime is 153413025343. The next prime is 153413025347. The reversal of 153413025345 is 543520314351.

153413025345 is a `hidden beast` number, since 1 + 5 + 3 + 4 + 1 + 302 + 5 + 345 = 666.

It is an interprime number because it is at equal distance from previous prime (153413025343) and next prime (153413025347).

It is not a de Polignac number, because 153413025345 - 21 = 153413025343 is a prime.

It is a super-2 number, since 2×1534130253452 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (153413025343) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 801915 + ... + 974624.

It is an arithmetic number, because the mean of its divisors is an integer number (5889230100).

Almost surely, 2153413025345 is an apocalyptic number.

153413025345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

153413025345 is a deficient number, since it is larger than the sum of its proper divisors (129270019455).

153413025345 is a wasteful number, since it uses less digits than its factorization.

153413025345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1776670 (or 1776667 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

Adding to 153413025345 its reverse (543520314351), we get a palindrome (696933339696).

The spelling of 153413025345 in words is "one hundred fifty-three billion, four hundred thirteen million, twenty-five thousand, three hundred forty-five".

Divisors: 1 3 5 9 15 19 45 57 95 101 171 285 303 505 855 909 1515 1919 4545 5757 9595 17271 28785 86355 1776539 5329617 8882695 15988851 26648085 33754241 79944255 101262723 168771205 179430439 303788169 506313615 538291317 897152195 1518940845 1614873951 2691456585 3409178341 8074369755 10227535023 17045891705 30682605069 51137675115 153413025345