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89019354144 = 25371011311577
BaseRepresentation
bin101001011100111110…
…1111000110000100000
322111202220121201220110
41102321331320300200
52424302423313034
6104521145411320
76300661011510
oct1227175706040
9274686551813
1089019354144
1134831117376
1215304499b40
138518900566
14444698b840
1524b021ede9
hex14b9f78c20

89019354144 has 96 divisors (see below), whose sum is σ = 269702407296. Its totient is φ = 25182259200.

The previous prime is 89019354143. The next prime is 89019354181. The reversal of 89019354144 is 44145391098.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-4 number, since 4×890193541444 (a number of 45 digits) contains 4444 as substring.

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 = 89019354093 and 89019354102.

It is not an unprimeable number, because it can be changed into a prime (89019354143) 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, 587917 + ... + 723660.

It is an arithmetic number, because the mean of its divisors is an integer number (2809400076).

Almost surely, 289019354144 is an apocalyptic number.

89019354144 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

89019354144 is an abundant number, since it is smaller than the sum of its proper divisors (180683053152).

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

89019354144 is a wasteful number, since it uses less digits than its factorization.

89019354144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1311698 (or 1311690 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 48.

The spelling of 89019354144 in words is "eighty-nine billion, nineteen million, three hundred fifty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 101 112 168 202 224 303 336 404 606 672 707 808 1212 1414 1616 2121 2424 2828 3232 4242 4848 5656 8484 9696 11312 16968 22624 33936 67872 1311577 2623154 3934731 5246308 7869462 9181039 10492616 15738924 18362078 20985232 27543117 31477848 36724156 41970464 55086234 62955696 73448312 110172468 125911392 132469277 146896624 220344936 264938554 293793248 397407831 440689872 529877108 794815662 881379744 927284939 1059754216 1589631324 1854569878 2119508432 2781854817 3179262648 3709139756 4239016864 5563709634 6358525296 7418279512 11127419268 12717050592 14836559024 22254838536 29673118048 44509677072 89019354144