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14986009920 = 263572230061
BaseRepresentation
bin11011111010011110…
…00101110101000000
31102200101211011220110
431331033011311000
5221142404304140
610515014111320
71040236661010
oct157517056500
942611734813
1014986009920
1163a0237072
122aa294b540
13154a98b2bb
14a22421c40
155ca99e380
hex37d3c5d40

14986009920 has 112 divisors (see below), whose sum is σ = 54377831808. Its totient is φ = 3425372160.

The previous prime is 14986009901. The next prime is 14986009921. The reversal of 14986009920 is 2990068941.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 14986009920.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14986009921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1108311 + ... + 1121750.

Almost surely, 214986009920 is an apocalyptic number.

14986009920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14986009920 is an abundant number, since it is smaller than the sum of its proper divisors (39391821888).

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

14986009920 is a wasteful number, since it uses less digits than its factorization.

14986009920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2230088 (or 2230078 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 48.

The spelling of 14986009920 in words is "fourteen billion, nine hundred eighty-six million, nine thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 140 160 168 192 210 224 240 280 320 336 420 448 480 560 672 840 960 1120 1344 1680 2240 3360 6720 2230061 4460122 6690183 8920244 11150305 13380366 15610427 17840488 22300610 26760732 31220854 33450915 35680976 44601220 46831281 53521464 62441708 66901830 71361952 78052135 89202440 93662562 107042928 124883416 133803660 142723904 156104270 178404880 187325124 214085856 234156405 249766832 267607320 312208540 356809760 374650248 428171712 468312810 499533664 535214640 624417080 713619520 749300496 936625620 999067328 1070429280 1248834160 1498600992 1873251240 2140858560 2497668320 2997201984 3746502480 4995336640 7493004960 14986009920