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64157171373225 = 3252726674987181
BaseRepresentation
bin11101001011001110000010…
…11010001101010010101001
322102011100212120202020102200
432211213001122031102221
531402122341332420400
6344241221520250413
716341126341530500
oct1645470132152251
9272140776666380
1064157171373225
11194959a3736757
12724210aa70a09
1329a4cc28a2688
1411bb31ba33837
15763d1e008b00
hex3a59c168d4a9

64157171373225 has 108 divisors (see below), whose sum is σ = 133677402943500. Its totient is φ = 29328216825600.

The previous prime is 64157171373143. The next prime is 64157171373227. The reversal of 64157171373225 is 52237317175146.

64157171373225 is a `hidden beast` number, since 6 + 4 + 1 + 571 + 7 + 1 + 37 + 32 + 2 + 5 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1439704815129 + 62717466558096 = 1199877^2 + 7919436^2 .

It is not a de Polignac number, because 64157171373225 - 28 = 64157171372969 is a prime.

It is a super-2 number, since 2×641571713732252 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (64157171373227) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 735864135 + ... + 735951315.

Almost surely, 264157171373225 is an apocalyptic number.

It is an amenable number.

64157171373225 is an abundant number, since it is smaller than the sum of its proper divisors (69520231570275).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

64157171373225 is a wasteful number, since it uses less digits than its factorization.

64157171373225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153960 (or 153945 counting only the distinct ones).

The product of its digits is 7408800, while the sum is 54.

The spelling of 64157171373225 in words is "sixty-four trillion, one hundred fifty-seven billion, one hundred seventy-one million, three hundred seventy-three thousand, two hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 49 63 75 105 147 175 225 245 315 441 525 735 1225 1575 2205 3675 11025 66749 87181 200247 261543 333745 435905 467243 600741 610267 784629 1001235 1307715 1401729 1668725 1830801 2179525 2336215 3003705 3051335 3270701 3923145 4205187 4271869 5006175 5492403 6538575 7008645 9154005 9812103 11681075 12815607 15018525 15256675 16353505 19615725 21025935 21359345 27462015 29436309 35043225 38446821 45770025 49060515 64078035 81767525 105129675 106796725 137310075 147181545 192234105 245302575 320390175 735907725 961170525 5819244569 17457733707 29096222845 40734711983 52373201121 87288668535 122204135949 145481114225 203673559915 261866005605 285142983881 366612407847 436443342675 611020679745 855428951643 1018367799575 1309330028025 1425714919405 1833062039235 2566286854929 3055103398725 4277144758215 7128574597025 9165310196175 12831434274645 21385723791075 64157171373225