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9720064125 = 335329472113
BaseRepresentation
bin10010000110101110…
…00110100001111101
3221002102000102022000
421003113012201331
5124401314023000
64244302412513
7462605116242
oct110327064175
927072012260
109720064125
1141387a5052
121a73291139
13bbb9c6045
14682cd35c9
153bd514000
hex2435c687d

9720064125 has 128 divisors (see below), whose sum is σ = 18995558400. Its totient is φ = 4896460800.

The previous prime is 9720064103. The next prime is 9720064127. The reversal of 9720064125 is 5214600279.

9720064125 is a `hidden beast` number, since 9 + 7 + 2 + 0 + 0 + 641 + 2 + 5 = 666.

9720064125 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 9720064125 - 229 = 9183193213 is a prime.

It is a super-2 number, since 2×97200641252 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 9720064125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9720064127) 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 127 ways as a sum of consecutive naturals, for example, 4599069 + ... + 4601181.

It is an arithmetic number, because the mean of its divisors is an integer number (148402800).

Almost surely, 29720064125 is an apocalyptic number.

It is an amenable number.

9720064125 is a deficient number, since it is larger than the sum of its proper divisors (9275494275).

9720064125 is a wasteful number, since it uses less digits than its factorization.

9720064125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2213 (or 2197 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 9720064125 is about 98590.3855606620. The cubic root of 9720064125 is about 2134.1406758068.

The spelling of 9720064125 in words is "nine billion, seven hundred twenty million, sixty-four thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 29 45 47 75 87 125 135 141 145 225 235 261 375 423 435 675 705 725 783 1125 1175 1269 1305 1363 2113 2115 2175 3375 3525 3625 3915 4089 5875 6339 6345 6525 6815 10565 10575 10875 12267 17625 19017 19575 20445 31695 31725 32625 34075 36801 52825 52875 57051 61277 61335 95085 97875 99311 102225 158475 158625 170375 183831 184005 264125 285255 297933 306385 306675 475425 496555 511125 551493 792375 893799 919155 920025 1426275 1489665 1531925 1533375 1654479 2377125 2482775 2681397 2757465 2880019 4468995 4595775 4600125 7131375 7448325 7659625 8272395 8640057 12413875 13406985 13787325 14400095 22344975 22978875 25920171 37241625 41361975 43200285 67034925 68936625 72000475 77760513 111724875 129600855 206809875 216001425 335174625 360002375 388802565 648004275 1080007125 1944012825 3240021375 9720064125