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89939360784 = 24371334675939
BaseRepresentation
bin101001111000011001…
…1011011110000010000
322121011000202220202110
41103300303123300100
52433143434021114
6105152332345320
76332531644560
oct1236063336020
9277130686673
1089939360784
1135163473a39
1215520615240
1386343b03a0
1444d2c34da0
152515d9e759
hex14f0cdbc10

89939360784 has 160 divisors (see below), whose sum is σ = 286091688960. Its totient is φ = 23709436416.

The previous prime is 89939360767. The next prime is 89939360851. The reversal of 89939360784 is 48706393998.

It is a happy number.

It is an unprimeable number.

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, 15140887 + ... + 15146825.

It is an arithmetic number, because the mean of its divisors is an integer number (1788073056).

Almost surely, 289939360784 is an apocalyptic number.

89939360784 is a gapful number since it is divisible by the number (84) 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 89939360784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143045844480).

89939360784 is an abundant number, since it is smaller than the sum of its proper divisors (196152328176).

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

89939360784 is a wasteful number, since it uses less digits than its factorization.

89939360784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9437 (or 9431 counting only the distinct ones).

The product of its (nonzero) digits is 70543872, while the sum is 66.

The spelling of 89939360784 in words is "eighty-nine billion, nine hundred thirty-nine million, three hundred sixty thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 104 112 156 168 182 208 273 312 336 364 546 624 728 1092 1456 2184 3467 4368 5939 6934 10401 11878 13868 17817 20802 23756 24269 27736 35634 41573 41604 45071 47512 48538 55472 71268 72807 77207 83146 83208 90142 95024 97076 124719 135213 142536 145614 154414 166292 166416 180284 194152 231621 249438 270426 285072 291228 308828 315497 332584 360568 388304 463242 498876 540449 540852 582456 617656 630994 665168 721136 926484 946491 997752 1080898 1081704 1164912 1235312 1261988 1621347 1852968 1892982 1995504 2161796 2163408 2523976 3242694 3705936 3785964 4323592 5047952 6485388 7571928 8647184 12970776 15143856 20590513 25941552 41181026 61771539 82362052 123543078 144133591 164724104 247086156 267676669 288267182 329448208 432400773 494172312 535353338 576534364 803030007 864801546 988344624 1070706676 1153068728 1606060014 1729603092 1873736683 2141413352 2306137456 3212120028 3459206184 3747473366 4282826704 5621210049 6424240056 6918412368 7494946732 11242420098 12848480112 14989893464 22484840196 29979786928 44969680392 89939360784