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89380836820 = 225112361289577
BaseRepresentation
bin101001100111110000…
…0110101010111010100
322112201002210221220201
41103033200311113110
52431022443234240
6105021101310244
76312640402042
oct1231740652724
9275632727821
1089380836820
11349a7174690
12153a5565384
138575777132
14447c9a7392
1524d1d25d9a
hex14cf8355d4

89380836820 has 96 divisors (see below), whose sum is σ = 217169600256. Its totient is φ = 30579225600.

The previous prime is 89380836731. The next prime is 89380836823. The reversal of 89380836820 is 2863808398.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89380836823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 163872 + ... + 453448.

It is an arithmetic number, because the mean of its divisors is an integer number (2262183336).

Almost surely, 289380836820 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89380836820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108584800128).

89380836820 is an abundant number, since it is smaller than the sum of its proper divisors (127788763436).

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

89380836820 is a wasteful number, since it uses less digits than its factorization.

89380836820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289681 (or 289679 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 55.

The spelling of 89380836820 in words is "eighty-nine billion, three hundred eighty million, eight hundred thirty-six thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 23 44 46 55 61 92 110 115 122 220 230 244 253 305 460 506 610 671 1012 1220 1265 1342 1403 2530 2684 2806 3355 5060 5612 6710 7015 13420 14030 15433 28060 30866 61732 77165 154330 289577 308660 579154 1158308 1447885 2895770 3185347 5791540 6370694 6660271 12741388 13320542 15926735 17664197 26641084 31853470 33301355 35328394 63706940 66602710 70656788 73262981 88320985 133205420 146525962 176641970 194306167 293051924 353283940 366314905 388612334 406276531 732629810 777224668 812553062 971530835 1465259620 1625106124 1943061670 2031382655 3886123340 4062765310 4469041841 8125530620 8938083682 17876167364 22345209205 44690418410 89380836820