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10606655660601 = 37111331091136063
BaseRepresentation
bin1001101001011000110111…
…1100010110001000111001
31101112222122001212220020210
42122112031330112020321
52342234412322114401
634320344053141333
72143206546361530
oct232261574261071
941488561786223
1010606655660601
11341a291672970
12123378362a849
135bc284968130
142895172d7317
15135d8425d4d6
hex9a58df16239

10606655660601 has 64 divisors (see below), whose sum is σ = 18994262999040. Its totient is φ = 5084468202240.

The previous prime is 10606655660563. The next prime is 10606655660603.

10606655660601 is nontrivially palindromic in base 10.

10606655660601 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 10606655660601 - 217 = 10606655529529 is a prime.

It is a super-2 number, since 2×106066556606012 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10606655660603) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8768296 + ... + 9904358.

It is an arithmetic number, because the mean of its divisors is an integer number (296785359360).

Almost surely, 210606655660601 is an apocalyptic number.

10606655660601 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10606655660601 is a deficient number, since it is larger than the sum of its proper divisors (8387607338439).

10606655660601 is a wasteful number, since it uses less digits than its factorization.

10606655660601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1139206.

The product of its (nonzero) digits is 1166400, while the sum is 48.

The spelling of 10606655660601 in words is "ten trillion, six hundred six billion, six hundred fifty-five million, six hundred sixty thousand, six hundred one".

Divisors: 1 3 7 11 13 21 33 39 77 91 143 231 273 429 1001 3003 3109 9327 21763 34199 40417 65289 102597 121251 239393 282919 444587 718179 848757 1136063 1333761 3112109 3408189 7952441 9336327 12496693 14768819 23857323 37490079 44306457 87476851 103381733 162457009 262430553 310145199 487371027 1137199063 3411597189 3532019867 10596059601 24724139069 38852218537 45916258271 74172417207 116556655611 137748774813 271965529759 321413807897 505078840981 815896589277 964241423691 1515236522943 3535551886867 10606655660601