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11649425416677 = 32293111863121369
BaseRepresentation
bin1010100110000101011111…
…0111010010000111100101
31112020200012111011001021200
42221201113313102013211
53011331010401313202
640435401104033113
72311433423144136
oct251412767220745
945220174131250
1011649425416677
113791547a47604
1213818a1002799
136666c7a84439
142c3b99adbc8d
1515306571ee1c
hexa9857dd21e5

11649425416677 has 48 divisors (see below), whose sum is σ = 17970372326400. Its totient is φ = 7255922768640.

The previous prime is 11649425416621. The next prime is 11649425416679. The reversal of 11649425416677 is 77661452494611.

It is a happy number.

11649425416677 is a `hidden beast` number, since 1 + 1 + 6 + 49 + 42 + 541 + 6 + 6 + 7 + 7 = 666.

It is not a de Polignac number, because 11649425416677 - 27 = 11649425416549 is a prime.

It is a super-2 number, since 2×116494254166772 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11649425416679) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 95922849 + ... + 96044217.

It is an arithmetic number, because the mean of its divisors is an integer number (374382756800).

Almost surely, 211649425416677 is an apocalyptic number.

It is an amenable number.

11649425416677 is a deficient number, since it is larger than the sum of its proper divisors (6320946909723).

11649425416677 is a wasteful number, since it uses less digits than its factorization.

11649425416677 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133298 (or 133295 counting only the distinct ones).

The product of its digits is 60963840, while the sum is 63.

The spelling of 11649425416677 in words is "eleven trillion, six hundred forty-nine billion, four hundred twenty-five million, four hundred sixteen thousand, six hundred seventy-seven".

Divisors: 1 3 9 29 31 87 93 261 279 899 2697 8091 11863 35589 106767 121369 344027 364107 367753 1032081 1092321 1103259 3096243 3309777 3519701 3762439 10559103 10664837 11287317 31677309 31994511 33861951 95983533 109110731 327332193 981996579 1439800447 4319401341 12958204023 41754212963 44633813857 125262638889 133901441571 375787916667 401704324713 1294380601853 3883141805559 11649425416677