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89737533427968 = 283328345875833
BaseRepresentation
bin10100011001110110100101…
…110011011001000100000000
3102202201211020222220221111000
4110121312211303121010000
543230224432024143333
6514504504224052000
724621215506441056
oct2431664563310400
9382654228827430
1089737533427968
1126658524192918
12a09389a464000
133b0c2a02172ca
1418234697201d6
15a5942c37d713
hex519da5cd9100

89737533427968 has 144 divisors (see below), whose sum is σ = 266307381336640. Its totient is φ = 29806812573696.

The previous prime is 89737533427967. The next prime is 89737533427987. The reversal of 89737533427968 is 86972433573798.

89737533427968 is a `hidden beast` number, since 8 + 9 + 7 + 3 + 7 + 5 + 334 + 279 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (81) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (89737533427967) 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, 20981821 + ... + 24894012.

Almost surely, 289737533427968 is an apocalyptic number.

It is an amenable number.

89737533427968 is an abundant number, since it is smaller than the sum of its proper divisors (176569847908672).

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

89737533427968 is a wasteful number, since it uses less digits than its factorization.

89737533427968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45876141 (or 45876121 counting only the distinct ones).

The product of its digits is 11522165760, while the sum is 81.

The spelling of 89737533427968 in words is "eighty-nine trillion, seven hundred thirty-seven billion, five hundred thirty-three million, four hundred twenty-seven thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 283 288 384 432 566 576 768 849 864 1132 1152 1698 1728 2264 2304 2547 3396 3456 4528 5094 6792 6912 7641 9056 10188 13584 15282 18112 20376 27168 30564 36224 40752 54336 61128 72448 81504 108672 122256 163008 217344 244512 326016 489024 652032 978048 1956096 45875833 91751666 137627499 183503332 275254998 367006664 412882497 550509996 734013328 825764994 1101019992 1238647491 1468026656 1651529988 2202039984 2477294982 2936053312 3303059976 4404079968 4954589964 5872106624 6606119952 8808159936 9909179928 11744213248 12982860739 13212239904 17616319872 19818359856 25965721478 26424479808 35232639744 38948582217 39636719712 51931442956 52848959616 77897164434 79273439424 103862885912 105697919232 116845746651 155794328868 158546878848 207725771824 233691493302 311588657736 317093757696 350537239953 415451543648 467382986604 623177315472 701074479906 830903087296 934765973208 1246354630944 1402148959812 1661806174592 1869531946416 2492709261888 2804297919624 3323612349184 3739063892832 4985418523776 5608595839248 7478127785664 9970837047552 11217191678496 14956255571328 22434383356992 29912511142656 44868766713984 89737533427968