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89408125920 = 2535186266929
BaseRepresentation
bin101001101000100100…
…0111011101111100000
322112210000011101112010
41103101020323233200
52431101440012140
6105023514232520
76313421350101
oct1232110735740
9275700141463
1089408125920
1134a10613363
12153b2725740
13857b310229
14448246c3a8
1524d4416880
hex14d123bbe0

89408125920 has 48 divisors (see below), whose sum is σ = 281635598160. Its totient is φ = 23842166784.

The previous prime is 89408125907. The next prime is 89408125921. The reversal of 89408125920 is 2952180498.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 89408125920.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89408125921) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 93132985 + ... + 93133944.

It is an arithmetic number, because the mean of its divisors is an integer number (5867408295).

Almost surely, 289408125920 is an apocalyptic number.

89408125920 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

89408125920 is an abundant number, since it is smaller than the sum of its proper divisors (192227472240).

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

89408125920 is a wasteful number, since it uses less digits than its factorization.

89408125920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186266947 (or 186266939 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 48.

The spelling of 89408125920 in words is "eighty-nine billion, four hundred eight million, one hundred twenty-five thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 186266929 372533858 558800787 745067716 931334645 1117601574 1490135432 1862669290 2235203148 2794003935 2980270864 3725338580 4470406296 5588007870 5960541728 7450677160 8940812592 11176015740 14901354320 17881625184 22352031480 29802708640 44704062960 89408125920