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89188557066 = 23272101120813
BaseRepresentation
bin101001100010000001…
…1010110000100001010
322112012201000010200100
41103010003112010022
52430124232311231
6104550032150230
76305114140500
oct1230403260412
9275181003610
1089188557066
1134908684aa4
1215351098376
138544993b2b
144461234670
1524beee41e6
hex14c40d610a

89188557066 has 36 divisors (see below), whose sum is σ = 224791569522. Its totient is φ = 25482444624.

The previous prime is 89188557047. The next prime is 89188557067. The reversal of 89188557066 is 66075588198.

89188557066 is a `hidden beast` number, since 8 + 9 + 18 + 8 + 557 + 0 + 66 = 666.

It can be written as a sum of positive squares in only one way, i.e., 76084947225 + 13103609841 = 275835^2 + 114471^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 89188556994 and 89188557012.

It is not an unprimeable number, because it can be changed into a prime (89188557067) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 50559525 + ... + 50561288.

Almost surely, 289188557066 is an apocalyptic number.

89188557066 is an abundant number, since it is smaller than the sum of its proper divisors (135603012456).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

89188557066 is a wasteful number, since it uses less digits than its factorization.

89188557066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101120835 (or 101120825 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 63.

The spelling of 89188557066 in words is "eighty-nine billion, one hundred eighty-eight million, five hundred fifty-seven thousand, sixty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 441 882 101120813 202241626 303362439 606724878 707845691 910087317 1415691382 1820174634 2123537073 4247074146 4954919837 6370611219 9909839674 12741222438 14864759511 29729519022 44594278533 89188557066