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89258007760 = 2451115725097
BaseRepresentation
bin101001100100000110…
…0010001110011010000
322112101112200121010021
41103020030101303100
52430300022222020
6105000552513224
76306616355605
oct1231014216320
9275345617107
1089258007760
1134943900369
12153703ab814
13855619c60c
14446a5526ac
1524c61621aa
hex14c8311cd0

89258007760 has 20 divisors (see below), whose sum is σ = 207524868228. Its totient is φ = 35703203072.

The previous prime is 89258007733. The next prime is 89258007809. The reversal of 89258007760 is 6770085298.

It can be written as a sum of positive squares in 2 ways, for example, as 14046042256 + 75211965504 = 118516^2 + 274248^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-3 number, since 3×892580077603 (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 89258007698 and 89258007707.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 557862469 + ... + 557862628.

Almost surely, 289258007760 is an apocalyptic number.

89258007760 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

89258007760 is an abundant number, since it is smaller than the sum of its proper divisors (118266860468).

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

89258007760 is a wasteful number, since it uses less digits than its factorization.

89258007760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1115725110 (or 1115725104 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 52.

The spelling of 89258007760 in words is "eighty-nine billion, two hundred fifty-eight million, seven thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1115725097 2231450194 4462900388 5578625485 8925800776 11157250970 17851601552 22314501940 44629003880 89258007760