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89390988684 = 223217536145179
BaseRepresentation
bin101001101000000011…
…1100011110110001100
322112201210220201122200
41103100013203312030
52431033043114214
6105022103041500
76313122603234
oct1232007436614
9275653821580
1089390988684
1134a01978958
12153a8a40290
1385778bcb5a
14448008acc4
1524d2b7dd09
hex14d01e3d8c

89390988684 has 144 divisors (see below), whose sum is σ = 247768204320. Its totient is φ = 27063429120.

The previous prime is 89390988653. The next prime is 89390988691. The reversal of 89390988684 is 48688909398.

89390988684 is a `hidden beast` number, since 89 + 390 + 9 + 8 + 86 + 84 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1956007 + ... + 2001185.

It is an arithmetic number, because the mean of its divisors is an integer number (1720612530).

Almost surely, 289390988684 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89390988684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123884102160).

89390988684 is an abundant number, since it is smaller than the sum of its proper divisors (158377215636).

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

89390988684 is a wasteful number, since it uses less digits than its factorization.

89390988684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45320 (or 45315 counting only the distinct ones).

The product of its (nonzero) digits is 214990848, while the sum is 72.

The spelling of 89390988684 in words is "eighty-nine billion, three hundred ninety million, nine hundred eighty-eight thousand, six hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 53 61 68 102 106 122 153 159 183 204 212 244 306 318 366 477 549 612 636 732 901 954 1037 1098 1802 1908 2074 2196 2703 3111 3233 3604 4148 5406 6222 6466 8109 9333 9699 10812 12444 12932 16218 18666 19398 29097 32436 37332 38796 45179 54961 58194 90358 109922 116388 135537 164883 180716 219844 271074 329766 406611 494649 542148 659532 768043 813222 989298 1536086 1626444 1978596 2304129 2394487 2755919 3072172 4608258 4788974 5511838 6912387 7183461 8267757 9216516 9577948 11023676 13824774 14366922 16535514 21550383 24803271 27649548 28733844 33071028 40706279 43100766 46850623 49606542 81412558 86201532 93701246 99213084 122118837 140551869 146063707 162825116 187402492 244237674 281103738 292127414 366356511 421655607 438191121 488475348 562207476 584254828 732713022 843311214 876382242 1314573363 1465426044 1686622428 1752764484 2483083019 2629146726 4966166038 5258293452 7449249057 9932332076 14898498114 22347747171 29796996228 44695494342 89390988684