Search a number
-
+
89095642110 = 23252352182613
BaseRepresentation
bin101001011111010000…
…0111001101111111110
322111222020011120022200
41102332200321233332
52424431441021420
6104532512452330
76302605314426
oct1227640715776
9274866146280
1089095642110
1134870192682
1215325b4a0a6
13852b661177
144452b69486
1524b6c8db90
hex14be839bfe

89095642110 has 96 divisors (see below), whose sum is σ = 242187236928. Its totient is φ = 22681950720.

The previous prime is 89095642033. The next prime is 89095642121. The reversal of 89095642110 is 1124659098.

89095642110 is a `hidden beast` number, since 89 + 0 + 9 + 564 + 2 + 1 + 1 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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, 1037164 + ... + 1119776.

It is an arithmetic number, because the mean of its divisors is an integer number (2522783718).

Almost surely, 289095642110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89095642110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121093618464).

89095642110 is an abundant number, since it is smaller than the sum of its proper divisors (153091594818).

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

89095642110 is a wasteful number, since it uses less digits than its factorization.

89095642110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83170 (or 83167 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 89095642110 in words is "eighty-nine billion, ninety-five million, six hundred forty-two thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 23 30 45 46 69 90 115 138 207 230 345 414 521 690 1035 1042 1563 2070 2605 3126 4689 5210 7815 9378 11983 15630 23445 23966 35949 46890 59915 71898 82613 107847 119830 165226 179745 215694 247839 359490 413065 495678 539235 743517 826130 1078470 1239195 1487034 1900099 2478390 3717585 3800198 5700297 7435170 9500495 11400594 17100891 19000990 28501485 34201782 43041373 57002970 85504455 86082746 129124119 171008910 215206865 258248238 387372357 430413730 645620595 774744714 989951579 1291241190 1936861785 1979903158 2969854737 3873723570 4949757895 5939709474 8909564211 9899515790 14849273685 17819128422 29698547370 44547821055 89095642110