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89742333312 = 2732611277071
BaseRepresentation
bin101001110010100001…
…1110101010110000000
322120122022000212212200
41103211003311112000
52432243014131222
6105121013353200
76324620150502
oct1234503652600
9276568025780
1089742333312
1135072231315
1215486638800
138602627098
1444b49c7d72
152503930eac
hex14e50f5580

89742333312 has 96 divisors (see below), whose sum is σ = 262476608160. Its totient is φ = 29423692800.

The previous prime is 89742333299. The next prime is 89742333341. The reversal of 89742333312 is 21333324798.

89742333312 is a `hidden beast` number, since 89 + 7 + 4 + 233 + 331 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 568264 + ... + 708807.

It is an arithmetic number, because the mean of its divisors is an integer number (2734131335).

Almost surely, 289742333312 is an apocalyptic number.

It is an amenable number.

89742333312 is an abundant number, since it is smaller than the sum of its proper divisors (172734274848).

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

89742333312 is a wasteful number, since it uses less digits than its factorization.

89742333312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1277152 (or 1277137 counting only the distinct ones).

The product of its digits is 653184, while the sum is 45.

The spelling of 89742333312 in words is "eighty-nine billion, seven hundred forty-two million, three hundred thirty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 61 64 72 96 122 128 144 183 192 244 288 366 384 488 549 576 732 976 1098 1152 1464 1952 2196 2928 3904 4392 5856 7808 8784 11712 17568 23424 35136 70272 1277071 2554142 3831213 5108284 7662426 10216568 11493639 15324852 20433136 22987278 30649704 40866272 45974556 61299408 77901331 81732544 91949112 122598816 155802662 163465088 183898224 233703993 245197632 311605324 367796448 467407986 490395264 623210648 701111979 735592896 934815972 1246421296 1402223958 1471185792 1869631944 2492842592 2804447916 3739263888 4985685184 5608895832 7478527776 9971370368 11217791664 14957055552 22435583328 29914111104 44871166656 89742333312