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81588149240 = 23513735034273
BaseRepresentation
bin100101111111100001…
…0000101101111111000
321210121000111102012012
41023333002011233320
52314043031233430
6101251525105052
75615554553213
oct1137702055770
9253530442165
1081588149240
1131668424114
121398b858188
13790317b7b0
143d3da6677a
1521c7b2b695
hex12ff085bf8

81588149240 has 128 divisors (see below), whose sum is σ = 200847911040. Its totient is φ = 29646176256.

The previous prime is 81588149239. The next prime is 81588149263. The reversal of 81588149240 is 4294188518.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19091744 + ... + 19096016.

It is an arithmetic number, because the mean of its divisors is an integer number (1569124305).

Almost surely, 281588149240 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 81588149240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100423955520).

81588149240 is an abundant number, since it is smaller than the sum of its proper divisors (119259761800).

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

81588149240 is a wasteful number, since it uses less digits than its factorization.

81588149240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4873 (or 4869 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 50.

The spelling of 81588149240 in words is "eighty-one billion, five hundred eighty-eight million, one hundred forty-nine thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 73 104 130 146 260 292 365 503 520 584 730 949 1006 1460 1898 2012 2515 2920 3796 4024 4273 4745 5030 6539 7592 8546 9490 10060 13078 17092 18980 20120 21365 26156 32695 34184 36719 37960 42730 52312 55549 65390 73438 85460 111098 130780 146876 170920 183595 222196 261560 277745 293752 311929 367190 444392 477347 555490 623858 734380 954694 1110980 1247716 1468760 1559645 1909388 2149319 2221960 2386735 2495432 3119290 3818776 4055077 4298638 4773470 6238580 8110154 8597276 9546940 10746595 12477160 16220308 17194552 19093880 20275385 21493190 27941147 32440616 40550770 42986380 55882294 81101540 85972760 111764588 139705735 156900287 162203080 223529176 279411470 313800574 558822940 627601148 784501435 1117645880 1255202296 1569002870 2039703731 3138005740 4079407462 6276011480 8158814924 10198518655 16317629848 20397037310 40794074620 81588149240