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11140117625 = 537134572143
BaseRepresentation
bin10100110000000000…
…01011010001111001
31001202101002121111002
422120000023101321
5140303332231000
65041231214345
7543030303020
oct123000132171
931671077432
1011140117625
1147a734028a
1221aa9773b5
131086c763a0
147797458b7
1545301a8d5
hex29800b479

11140117625 has 64 divisors (see below), whose sum is σ = 17156665344. Its totient is φ = 7032614400.

The previous prime is 11140117607. The next prime is 11140117631. The reversal of 11140117625 is 52671104111.

It is not a de Polignac number, because 11140117625 - 220 = 11139069049 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5197304 + ... + 5199446.

It is an arithmetic number, because the mean of its divisors is an integer number (268072896).

Almost surely, 211140117625 is an apocalyptic number.

It is an amenable number.

11140117625 is a deficient number, since it is larger than the sum of its proper divisors (6016547719).

11140117625 is a wasteful number, since it uses less digits than its factorization.

11140117625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2635 (or 2625 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 29.

The spelling of 11140117625 in words is "eleven billion, one hundred forty million, one hundred seventeen thousand, six hundred twenty-five".

Divisors: 1 5 7 13 25 35 65 91 125 175 325 455 457 875 1625 2143 2275 2285 3199 5941 10715 11375 11425 15001 15995 27859 29705 41587 53575 57125 75005 79975 139295 148525 195013 207935 267875 375025 399875 696475 742625 975065 979351 1039675 1875125 3482375 4875325 4896755 5198375 6855457 12731563 24376625 24483775 34277285 63657815 89120941 122418875 171386425 318289075 445604705 856932125 1591445375 2228023525 11140117625