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89879201808 = 24311678928547
BaseRepresentation
bin101001110110100110…
…1111100100000010000
322120222211120112011020
41103231031330200100
52433033033424213
6105142343115440
76331201416144
oct1235515744020
9276884515136
1089879201808
1135132514680
1215504442b80
138624aa8c66
1444c8c55224
152510969923
hex14ed37c810

89879201808 has 160 divisors (see below), whose sum is σ = 259974074880. Its totient is φ = 26527226880.

The previous prime is 89879201803. The next prime is 89879201827. The reversal of 89879201808 is 80810297898.

It is not an unprimeable number, because it can be changed into a prime (89879201803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3134191 + ... + 3162737.

It is an arithmetic number, because the mean of its divisors is an integer number (1624837968).

Almost surely, 289879201808 is an apocalyptic number.

89879201808 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89879201808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129987037440).

89879201808 is an abundant number, since it is smaller than the sum of its proper divisors (170094873072).

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

89879201808 is a wasteful number, since it uses less digits than its factorization.

89879201808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28725 (or 28719 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 60.

The spelling of 89879201808 in words is "eighty-nine billion, eight hundred seventy-nine million, two hundred one thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 67 88 89 132 134 176 178 201 264 267 268 356 402 528 534 536 712 737 804 979 1068 1072 1424 1474 1608 1958 2136 2211 2937 2948 3216 3916 4272 4422 5874 5896 5963 7832 8844 11748 11792 11926 15664 17688 17889 23496 23852 28547 35376 35778 46992 47704 57094 65593 71556 85641 95408 114188 131186 143112 171282 196779 228376 262372 286224 314017 342564 393558 456752 524744 628034 685128 787116 942051 1049488 1256068 1370256 1574232 1884102 1912649 2512136 2540683 3148464 3768204 3825298 5024272 5081366 5737947 7536408 7622049 7650596 10162732 11475894 15072816 15244098 15301192 20325464 21039139 22951788 27947513 30488196 30602384 40650928 42078278 45903576 55895026 60976392 63117417 83842539 84156556 91807152 111790052 121952784 126234834 167685078 168313112 170225761 223580104 252469668 335370156 336626224 340451522 447160208 504939336 510677283 670740312 680903044 1009878672 1021354566 1341480624 1361806088 1872483371 2042709132 2723612176 3744966742 4085418264 5617450113 7489933484 8170836528 11234900226 14979866968 22469800452 29959733936 44939600904 89879201808