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89481144144 = 24372311578823
BaseRepresentation
bin101001101010101111…
…1011110011101010000
322112222002120002200210
41103111133132131100
52431224133103034
6105035043244120
76315266114160
oct1232537363520
9275862502623
1089481144144
1134a48855aa7
1215413079640
138590497792
14448c0385a0
1524daa3b8e9
hex14d57de750

89481144144 has 80 divisors (see below), whose sum is σ = 275668641792. Its totient is φ = 24454472064.

The previous prime is 89481144127. The next prime is 89481144149. The reversal of 89481144144 is 44144118498.

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

It is a junction number, because it is equal to n+sod(n) for n = 89481144093 and 89481144102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89481144149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5781684 + ... + 5797139.

Almost surely, 289481144144 is an apocalyptic number.

89481144144 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

89481144144 is an abundant number, since it is smaller than the sum of its proper divisors (186187497648).

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

89481144144 is a wasteful number, since it uses less digits than its factorization.

89481144144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11578864 (or 11578858 counting only the distinct ones).

The product of its digits is 589824, while the sum is 48.

The spelling of 89481144144 in words is "eighty-nine billion, four hundred eighty-one million, one hundred forty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 42 46 48 56 69 84 92 112 138 161 168 184 276 322 336 368 483 552 644 966 1104 1288 1932 2576 3864 7728 11578823 23157646 34736469 46315292 69472938 81051761 92630584 138945876 162103522 185261168 243155283 266312929 277891752 324207044 486310566 532625858 555783504 648414088 798938787 972621132 1065251716 1296828176 1597877574 1864190503 1945242264 2130503432 3195755148 3728381006 3890484528 4261006864 5592571509 6391510296 7456762012 11185143018 12783020592 14913524024 22370286036 29827048048 44740572072 89481144144