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31366368660 = 223511457103993
BaseRepresentation
bin11101001101100101…
…001100110110010100
32222221222100121210210
4131031211030312110
51003214242244120
622224242045420
72160200506644
oct351545146624
988858317723
1031366368660
1112336552030
1260b4649870
132c5b499a73
141737ac4524
15c38a78ce0
hex74d94cd94

31366368660 has 96 divisors (see below), whose sum is σ = 96020572032. Its totient is φ = 7587256320.

The previous prime is 31366368637. The next prime is 31366368661. The reversal of 31366368660 is 6686366313.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31366368661) 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, 249624 + ... + 353616.

It is an arithmetic number, because the mean of its divisors is an integer number (1000214292).

Almost surely, 231366368660 is an apocalyptic number.

31366368660 is a gapful number since it is divisible by the number (30) 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 31366368660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48010286016).

31366368660 is an abundant number, since it is smaller than the sum of its proper divisors (64654203372).

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

31366368660 is a wasteful number, since it uses less digits than its factorization.

31366368660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104473 (or 104471 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 48.

The spelling of 31366368660 in words is "thirty-one billion, three hundred sixty-six million, three hundred sixty-eight thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 457 660 914 1371 1828 2285 2742 4570 5027 5484 6855 9140 10054 13710 15081 20108 25135 27420 30162 50270 60324 75405 100540 103993 150810 207986 301620 311979 415972 519965 623958 1039930 1143923 1247916 1559895 2079860 2287846 3119790 3431769 4575692 5719615 6239580 6863538 11439230 13727076 17158845 22878460 34317690 47524801 68635380 95049602 142574403 190099204 237624005 285148806 475248010 522772811 570297612 712872015 950496020 1045545622 1425744030 1568318433 2091091244 2613864055 2851488060 3136636866 5227728110 6273273732 7841592165 10455456220 15683184330 31366368660