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11625250725 = 325211113197211
BaseRepresentation
bin10101101001110101…
…10011111110100101
31010000011221220222200
422310322303332211
5142302031010400
65201321245113
7561041000154
oct126472637645
933004856880
1011625250725
114a26172a30
122305333799
1311336245aa
147c3d4b59b
154808e8b00
hex2b4eb3fa5

11625250725 has 144 divisors (see below), whose sum is σ = 23141536704. Its totient is φ = 5531904000.

The previous prime is 11625250711. The next prime is 11625250729. The reversal of 11625250725 is 52705252611.

11625250725 is a `hidden beast` number, since 1 + 1 + 62 + 525 + 0 + 72 + 5 = 666.

It is not a de Polignac number, because 11625250725 - 218 = 11624988581 is a prime.

It is a super-3 number, since 3×116252507253 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 11625250725.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11625250729) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 55095870 + ... + 55096080.

It is an arithmetic number, because the mean of its divisors is an integer number (160705116).

Almost surely, 211625250725 is an apocalyptic number.

11625250725 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11625250725 is a deficient number, since it is larger than the sum of its proper divisors (11516285979).

11625250725 is a wasteful number, since it uses less digits than its factorization.

11625250725 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

The spelling of 11625250725 in words is "eleven billion, six hundred twenty-five million, two hundred fifty thousand, seven hundred twenty-five".

Divisors: 1 3 5 9 11 15 25 33 45 55 75 99 113 165 197 211 225 275 339 495 565 591 633 825 985 1017 1055 1243 1695 1773 1899 2167 2321 2475 2825 2955 3165 3729 4925 5085 5275 6215 6501 6963 8475 8865 9495 10835 11187 11605 14775 15825 18645 19503 20889 22261 23843 25425 31075 32505 34815 41567 44325 47475 54175 55935 58025 66783 71529 93225 97515 104445 111305 119215 124701 162525 174075 200349 207835 214587 244871 262273 279675 333915 357645 374103 457237 487575 522225 556525 596075 623505 734613 786819 1001745 1039175 1072935 1224355 1311365 1371711 1669575 1788225 1870515 2203839 2286185 2360457 3117525 3673065 3934095 4115133 4697071 5008725 5364675 6121775 6556825 6858555 9352575 11019195 11430925 11802285 14091213 18365325 19670475 20575665 23485355 34292775 42273639 51667781 55095975 59011425 70456065 102878325 117426775 155003343 211368195 258338905 352280325 465010029 775016715 1056840975 1291694525 2325050145 3875083575 11625250725