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89873106967 = 71737199910211
BaseRepresentation
bin101001110110011011…
…0101100100000010111
322120222102002212121101
41103230312230200113
52433030003410332
6105142004330531
76331065543010
oct1235466544027
9276872085541
1089873106967
113512a031516
12155023a3a47
138623753a47
1444c810a007
152510163ae7
hex14ecdac817

89873106967 has 32 divisors (see below), whose sum is σ = 111760128000. Its totient is φ = 70500948480.

The previous prime is 89873106943. The next prime is 89873106971. The reversal of 89873106967 is 76960137898.

It is not a de Polignac number, because 89873106967 - 27 = 89873106839 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 89873106899 and 89873106908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89873106907) 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, 8796492 + ... + 8806702.

It is an arithmetic number, because the mean of its divisors is an integer number (3492504000).

Almost surely, 289873106967 is an apocalyptic number.

89873106967 is a deficient number, since it is larger than the sum of its proper divisors (21887021033).

89873106967 is a wasteful number, since it uses less digits than its factorization.

89873106967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12271.

The product of its (nonzero) digits is 27433728, while the sum is 64.

The spelling of 89873106967 in words is "eighty-nine billion, eight hundred seventy-three million, one hundred six thousand, nine hundred sixty-seven".

Divisors: 1 7 17 37 119 259 629 1999 4403 10211 13993 33983 71477 73963 173587 237881 377807 517741 1215109 1257371 2644649 6422719 8801597 20411789 44959033 142882523 347000413 755236193 2429002891 5286653351 12839015281 89873106967