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27124197480 = 2332583210937
BaseRepresentation
bin11001010000101110…
…100110100001101000
32121000022221222221200
4121100232212201220
5421022243304410
620243301404200
71650106605642
oct312056464150
977008858850
1027124197480
11105599a2036
12530ba09660
1327336471c3
141454531892
15a8b4193c0
hex650ba6868

27124197480 has 144 divisors (see below), whose sum is σ = 89236688580. Its totient is φ = 7145319936.

The previous prime is 27124197467. The next prime is 27124197487. The reversal of 27124197480 is 8479142172.

It can be written as a sum of positive squares in 2 ways, for example, as 25874009316 + 1250188164 = 160854^2 + 35358^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (27124197487) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2474572 + ... + 2485508.

Almost surely, 227124197480 is an apocalyptic number.

27124197480 is a gapful number since it is divisible by the number (20) 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 27124197480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44618344290).

27124197480 is an abundant number, since it is smaller than the sum of its proper divisors (62112491100).

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

27124197480 is a wasteful number, since it uses less digits than its factorization.

27124197480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11120 (or 11030 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 27124197480 in words is "twenty-seven billion, one hundred twenty-four million, one hundred ninety-seven thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 83 90 120 166 180 249 332 360 415 498 664 747 830 996 1245 1494 1660 1992 2490 2988 3320 3735 4980 5976 6889 7470 9960 10937 13778 14940 20667 21874 27556 29880 32811 34445 41334 43748 54685 55112 62001 65622 68890 82668 87496 98433 103335 109370 124002 131244 137780 164055 165336 196866 206670 218740 248004 262488 275560 310005 328110 393732 413340 437480 492165 496008 620010 656220 787464 826680 907771 984330 1240020 1312440 1815542 1968660 2480040 2723313 3631084 3937320 4538855 5446626 7262168 8169939 9077710 10893252 13616565 16339878 18155420 21786504 27233130 32679756 36310840 40849695 54466260 65359512 75344993 81699390 108932520 150689986 163398780 226034979 301379972 326797560 376724965 452069958 602759944 678104937 753449930 904139916 1130174895 1356209874 1506899860 1808279832 2260349790 2712419748 3013799720 3390524685 4520699580 5424839496 6781049370 9041399160 13562098740 27124197480