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10116288189 = 327227418369
BaseRepresentation
bin10010110101111101…
…00100111010111101
3222010000120200112100
421122332210322331
5131204232210224
64351455055313
7505456013400
oct113276447275
928100520470
1010116288189
114321421057
121b63b11539
13c52b14a57
146bd793d37
153e31cdac9
hex25afa4ebd

10116288189 has 36 divisors (see below), whose sum is σ = 17006350140. Its totient is φ = 5777936640.

The previous prime is 10116288179. The next prime is 10116288197. The reversal of 10116288189 is 98188261101.

10116288189 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 628 + 8 + 18 + 9 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5167165689 + 4949122500 = 71883^2 + 70350^2 .

It is not a de Polignac number, because 10116288189 - 25 = 10116288157 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10116288179) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1204597 + ... + 1212965.

It is an arithmetic number, because the mean of its divisors is an integer number (472398615).

Almost surely, 210116288189 is an apocalyptic number.

It is an amenable number.

10116288189 is a deficient number, since it is larger than the sum of its proper divisors (6890061951).

10116288189 is a wasteful number, since it uses less digits than its factorization.

10116288189 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11130 (or 11120 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 45.

The spelling of 10116288189 in words is "ten billion, one hundred sixteen million, two hundred eighty-eight thousand, one hundred eighty-nine".

Divisors: 1 3 7 9 21 49 63 147 441 2741 8223 8369 19187 24669 25107 57561 58583 75321 134309 172683 175749 402927 410081 527247 1208781 1230243 3690729 22939429 68818287 160576003 206454861 481728009 1124032021 1445184027 3372096063 10116288189