Search a number
-
+
252168680025 = 325229362310667
BaseRepresentation
bin1110101011011001101…
…1001011001001011001
3220002220001212012211200
43222312123023021121
513112420140230100
6311502241544413
724134655262023
oct3526633131131
9802801765750
10252168680025
1197a42711699
1240a56945109
131aa19475802
14c2c2859013
15685d3eae00
hex3ab66cb259

252168680025 has 72 divisors (see below), whose sum is σ = 467409458880. Its totient is φ = 129804366720.

The previous prime is 252168680021. The next prime is 252168680033. The reversal of 252168680025 is 520086861252.

It is a happy number.

252168680025 is a `hidden beast` number, since 2 + 521 + 68 + 68 + 0 + 0 + 2 + 5 = 666.

It is not a de Polignac number, because 252168680025 - 22 = 252168680021 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (252168680021) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 23634742 + ... + 23645408.

It is an arithmetic number, because the mean of its divisors is an integer number (6491798040).

Almost surely, 2252168680025 is an apocalyptic number.

252168680025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

252168680025 is a deficient number, since it is larger than the sum of its proper divisors (215240778855).

252168680025 is a wasteful number, since it uses less digits than its factorization.

252168680025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14335 (or 14327 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 252168680025 in words is "two hundred fifty-two billion, one hundred sixty-eight million, six hundred eighty thousand, twenty-five".

Divisors: 1 3 5 9 15 25 29 45 75 87 145 225 261 435 725 1305 2175 3623 6525 10667 10869 18115 32001 32607 53335 54345 90575 96003 105067 160005 163035 266675 271725 309343 315201 480015 525335 800025 815175 928029 945603 1546715 1576005 2400075 2626675 2784087 4640145 4728015 7733575 7880025 13920435 23200725 23640075 38646541 69602175 115939623 193232705 347818869 579698115 966163525 1120749689 1739094345 2898490575 3362249067 5603748445 8695471725 10086747201 16811245335 28018742225 50433736005 84056226675 252168680025