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81235156884 = 223710115236287
BaseRepresentation
bin100101110100111111…
…1100001111110010100
321202200102021112201020
41023221333201332110
52312332200010014
6101152515201140
75604040304040
oct1135177417624
9252612245636
1081235156884
11314a71457a2
12138b15a61b0
137877cb858b
143d08c1b020
1521a6b511a9
hex12e9fe1f94

81235156884 has 96 divisors (see below), whose sum is σ = 218950373376. Its totient is φ = 22961500800.

The previous prime is 81235156883. The next prime is 81235156907. The reversal of 81235156884 is 48865153218.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81235156883) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12917989 + ... + 12924275.

It is an arithmetic number, because the mean of its divisors is an integer number (2280733056).

Almost surely, 281235156884 is an apocalyptic number.

81235156884 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81235156884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109475186688).

81235156884 is an abundant number, since it is smaller than the sum of its proper divisors (137715216492).

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

81235156884 is a wasteful number, since it uses less digits than its factorization.

81235156884 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7925 (or 7923 counting only the distinct ones).

The product of its digits is 1843200, while the sum is 51.

The spelling of 81235156884 in words is "eighty-one billion, two hundred thirty-five million, one hundred fifty-six thousand, eight hundred eighty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 101 202 303 404 606 707 1212 1414 1523 2121 2828 3046 4242 4569 6092 6287 8484 9138 10661 12574 18276 18861 21322 25148 31983 37722 42644 44009 63966 75444 88018 127932 132027 153823 176036 264054 307646 461469 528108 615292 634987 922938 1076761 1269974 1845876 1904961 2153522 2539948 3230283 3809922 4307044 4444909 6460566 7619844 8889818 9575101 12921132 13334727 17779636 19150202 26669454 28725303 38300404 53338908 57450606 67025707 114901212 134051414 201077121 268102828 402154242 804308484 967085201 1934170402 2901255603 3868340804 5802511206 6769596407 11605022412 13539192814 20308789221 27078385628 40617578442 81235156884