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81589027992 = 233191635412029
BaseRepresentation
bin100101111111100010…
…1011100010010011000
321210121002011001121120
41023333011130102120
52314043242343432
6101252000005240
75615565203163
oct1137705342230
9253532131546
1081589027992
113166897435a
1213990000820
1379033c8774
143d3dc14ada
1521c7c51c2c
hex12ff15c498

81589027992 has 128 divisors (see below), whose sum is σ = 216531168000. Its totient is φ = 25546959360.

The previous prime is 81589027991. The next prime is 81589028009. The reversal of 81589027992 is 29972098518.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81589027991) 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 31 ways as a sum of consecutive naturals, for example, 40210434 + ... + 40212462.

It is an arithmetic number, because the mean of its divisors is an integer number (1691649750).

Almost surely, 281589027992 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 81589027992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108265584000).

81589027992 is an abundant number, since it is smaller than the sum of its proper divisors (134942140008).

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

81589027992 is a wasteful number, since it uses less digits than its factorization.

81589027992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2761 (or 2757 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 60.

The spelling of 81589027992 in words is "eighty-one billion, five hundred eighty-nine million, twenty-seven thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 163 228 326 456 489 541 652 978 1082 1304 1623 1956 2029 2164 3097 3246 3912 4058 4328 6087 6194 6492 8116 9291 10279 12174 12388 12984 16232 18582 20558 24348 24776 30837 37164 38551 41116 48696 61674 74328 77102 82232 88183 115653 123348 154204 176366 231306 246696 264549 308408 330727 352732 462612 529098 661454 705464 925224 992181 1058196 1097689 1322908 1675477 1984362 2116392 2195378 2645816 3293067 3350954 3968724 4390756 5026431 6283813 6586134 6701908 7937448 8781512 10052862 12567626 13172268 13403816 18851439 20105724 20856091 25135252 26344536 37702878 40211448 41712182 50270504 62568273 75405756 83424364 125136546 150811512 166848728 178923307 250273092 357846614 500546184 536769921 715693228 1073539842 1431386456 2147079684 3399542833 4294159368 6799085666 10198628499 13598171332 20397256998 27196342664 40794513996 81589027992