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889715142144 = 2933173785893
BaseRepresentation
bin11001111001001110010…
…01111010111000000000
310011001111210000011121000
430330213021322320000
5104034114034022034
61520421323132000
7121164653633133
oct14744711727000
93131453004530
10889715142144
11313365003974
12124523974000
1365b90a730ba
14310c34b221a
1518224651599
hexcf2727ae00

889715142144 has 160 divisors (see below), whose sum is σ = 2788538084640. Its totient is φ = 279126245376.

The previous prime is 889715142119. The next prime is 889715142149. The reversal of 889715142144 is 441241517988.

It is a happy number.

889715142144 is a `hidden beast` number, since 8 + 89 + 7 + 1 + 514 + 2 + 1 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (889715142149) 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 15 ways as a sum of consecutive naturals, for example, 1657939 + ... + 2127954.

It is an arithmetic number, because the mean of its divisors is an integer number (17428363029).

Almost surely, 2889715142144 is an apocalyptic number.

It is an amenable number.

889715142144 is an abundant number, since it is smaller than the sum of its proper divisors (1898822942496).

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

889715142144 is a wasteful number, since it uses less digits than its factorization.

889715142144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3785937 (or 3785915 counting only the distinct ones).

The product of its digits is 2580480, while the sum is 54.

The spelling of 889715142144 in words is "eight hundred eighty-nine billion, seven hundred fifteen million, one hundred forty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 96 102 108 128 136 144 153 192 204 216 256 272 288 306 384 408 432 459 512 544 576 612 768 816 864 918 1088 1152 1224 1536 1632 1728 1836 2176 2304 2448 3264 3456 3672 4352 4608 4896 6528 6912 7344 8704 9792 13056 13824 14688 19584 26112 29376 39168 58752 78336 117504 235008 3785893 7571786 11357679 15143572 22715358 30287144 34073037 45430716 60574288 64360181 68146074 90861432 102219111 121148576 128720362 136292148 181722864 193080543 204438222 242297152 257440724 272584296 363445728 386161086 408876444 484594304 514881448 545168592 579241629 726891456 772322172 817752888 969188608 1029762896 1090337184 1158483258 1453782912 1544644344 1635505776 1737724887 1938377216 2059525792 2180674368 2316966516 2907565824 3089288688 3271011552 3475449774 4119051584 4361348736 4633933032 5815131648 6178577376 6542023104 6950899548 8238103168 8722697472 9267866064 12357154752 13084046208 13901799096 16476206336 17445394944 18535732128 24714309504 26168092416 27803598192 32952412672 37071464256 49428619008 52336184832 55607196384 74142928512 98857238016 111214392768 148285857024 222428785536 296571714048 444857571072 889715142144