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13431508880 = 2451931285049
BaseRepresentation
bin11001000001001010…
…01000111110010000
31021200001202100100212
430200211020332100
5210001431241010
610100443503252
7653562641006
oct144045107620
937601670325
1013431508880
115772811469
12272a227b28
1313608c5cba
14915bb2a76
1553928b505
hex320948f90

13431508880 has 80 divisors (see below), whose sum is σ = 33932352000. Its totient is φ = 4925629440.

The previous prime is 13431508879. The next prime is 13431508889. The reversal of 13431508880 is 8880513431.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (13431508889) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95405 + ... + 189644.

It is an arithmetic number, because the mean of its divisors is an integer number (424154400).

Almost surely, 213431508880 is an apocalyptic number.

13431508880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13431508880 is an abundant number, since it is smaller than the sum of its proper divisors (20500843120).

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

13431508880 is a wasteful number, since it uses less digits than its factorization.

13431508880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285112 (or 285106 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 41.

The spelling of 13431508880 in words is "thirteen billion, four hundred thirty-one million, five hundred eight thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 19 20 31 38 40 62 76 80 95 124 152 155 190 248 304 310 380 496 589 620 760 1178 1240 1520 2356 2480 2945 4712 5890 9424 11780 23560 47120 285049 570098 1140196 1425245 2280392 2850490 4560784 5415931 5700980 8836519 10831862 11401960 17673038 21663724 22803920 27079655 35346076 43327448 44182595 54159310 70692152 86654896 88365190 108318620 141384304 167893861 176730380 216637240 335787722 353460760 433274480 671575444 706921520 839469305 1343150888 1678938610 2686301776 3357877220 6715754440 13431508880