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10240088625 = 325313798863
BaseRepresentation
bin10011000100101101…
…10101101000110001
3222102122112101210200
421202112311220301
5131432430314000
64412040345413
7511521213534
oct114226655061
928378471720
1010240088625
114385299168
121b99475269
13c7266c750
146d1dbca1b
153eded5500
hex2625b5a31

10240088625 has 96 divisors (see below), whose sum is σ = 20133335040. Its totient is φ = 4976899200.

The previous prime is 10240088597. The next prime is 10240088653. The reversal of 10240088625 is 52688004201.

10240088625 is a `hidden beast` number, since 1 + 0 + 24 + 0 + 0 + 8 + 8 + 625 = 666.

It is an interprime number because it is at equal distance from previous prime (10240088597) and next prime (10240088653).

It is not a de Polignac number, because 10240088625 - 212 = 10240084529 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10240088625.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1150944 + ... + 1159806.

It is an arithmetic number, because the mean of its divisors is an integer number (209722240).

Almost surely, 210240088625 is an apocalyptic number.

10240088625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10240088625 is a deficient number, since it is larger than the sum of its proper divisors (9893246415).

10240088625 is a wasteful number, since it uses less digits than its factorization.

10240088625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8976 (or 8963 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 10240088625 in words is "ten billion, two hundred forty million, eighty-eight thousand, six hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 39 45 65 75 79 117 125 195 225 237 325 375 395 585 711 975 1027 1125 1185 1625 1975 2925 3081 3555 4875 5135 5925 8863 9243 9875 14625 15405 17775 25675 26589 29625 44315 46215 77025 79767 88875 115219 128375 132945 221575 231075 345657 385125 398835 576095 664725 700177 1036971 1107875 1155375 1728285 1994175 2100531 2880475 3323625 3500885 5184855 6301593 8641425 9102301 9970875 10502655 14402375 17504425 25924275 27306903 31507965 43207125 45511505 52513275 81920709 87522125 129621375 136534515 157539825 227557525 262566375 409603545 682672575 787699125 1137787625 2048017725 3413362875 10240088625