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11987642880 = 29325520297
BaseRepresentation
bin10110010101000010…
…01110101000000000
31010221102212100120100
423022201032220000
5144022314033010
65301304442400
7603031166103
oct131241165000
933842770510
1011987642880
1150a1791584
1223a6779400
131190729115
1481a12273a
154a262e2c0
hex2ca84ea00

11987642880 has 120 divisors (see below), whose sum is σ = 41516658612. Its totient is φ = 3196698624.

The previous prime is 11987642869. The next prime is 11987642893. The reversal of 11987642880 is 8824678911.

It can be written as a sum of positive squares in 2 ways, for example, as 11987622144 + 20736 = 109488^2 + 144^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 237109 + ... + 283188.

Almost surely, 211987642880 is an apocalyptic number.

11987642880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11987642880 is an abundant number, since it is smaller than the sum of its proper divisors (29529015732).

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

11987642880 is an equidigital number, since it uses as much as digits as its factorization.

11987642880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520326 (or 520307 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The spelling of 11987642880 in words is "eleven billion, nine hundred eighty-seven million, six hundred forty-two thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 576 640 720 768 960 1152 1280 1440 1536 1920 2304 2560 2880 3840 4608 5760 7680 11520 23040 520297 1040594 1560891 2081188 2601485 3121782 4162376 4682673 5202970 6243564 7804455 8324752 9365346 10405940 12487128 15608910 16649504 18730692 20811880 23413365 24974256 31217820 33299008 37461384 41623760 46826730 49948512 62435640 66598016 74922768 83247520 93653460 99897024 124871280 133196032 149845536 166495040 187306920 199794048 249742560 266392064 299691072 332990080 374613840 399588096 499485120 599382144 665980160 749227680 799176192 998970240 1198764288 1331960320 1498455360 1997940480 2397528576 2996910720 3995880960 5993821440 11987642880