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12987478020 = 22351131362869
BaseRepresentation
bin11000001100001110…
…10011000000000100
31020112010020020112110
430012013103000010
5203044243244040
65544422421020
7636561512256
oct140607230004
936463206473
1012987478020
115565102510
122625591770
1312bc90924a
148b2c29cd6
155102cb980
hex3061d3004

12987478020 has 96 divisors (see below), whose sum is σ = 39798218880. Its totient is φ = 3138370560.

The previous prime is 12987478013. The next prime is 12987478027. The reversal of 12987478020 is 2087478921.

It is an interprime number because it is at equal distance from previous prime (12987478013) and next prime (12987478027).

It is not an unprimeable number, because it can be changed into a prime (12987478027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 175146 + ... + 238014.

It is an arithmetic number, because the mean of its divisors is an integer number (414564780).

Almost surely, 212987478020 is an apocalyptic number.

12987478020 is a gapful number since it is divisible by the number (10) 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 12987478020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19899109440).

12987478020 is an abundant number, since it is smaller than the sum of its proper divisors (26810740860).

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

12987478020 is a wasteful number, since it uses less digits than its factorization.

12987478020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63205 (or 63203 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 48.

The spelling of 12987478020 in words is "twelve billion, nine hundred eighty-seven million, four hundred seventy-eight thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 313 330 626 660 939 1252 1565 1878 3130 3443 3756 4695 6260 6886 9390 10329 13772 17215 18780 20658 34430 41316 51645 62869 68860 103290 125738 188607 206580 251476 314345 377214 628690 691559 754428 943035 1257380 1383118 1886070 2074677 2766236 3457795 3772140 4149354 6915590 8298708 10373385 13831180 19677997 20746770 39355994 41493540 59033991 78711988 98389985 118067982 196779970 216457967 236135964 295169955 393559940 432915934 590339910 649373901 865831868 1082289835 1180679820 1298747802 2164579670 2597495604 3246869505 4329159340 6493739010 12987478020