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127971987480 = 2334597407191
BaseRepresentation
bin111011100101110111…
…0011001000000011000
3110020022120212112110000
41313023232121000120
54044041312044410
6134442311453000
712150156642261
oct1671356310030
9406276775400
10127971987480
114a2aa93a327
1220975687160
13c0b59a001c
14629dddb968
1534decbadc0
hex1dcbb99018

127971987480 has 160 divisors (see below), whose sum is σ = 434563446240. Its totient is φ = 33773967360.

The previous prime is 127971987463. The next prime is 127971987509. The reversal of 127971987480 is 84789179721.

127971987480 is a `hidden beast` number, since 1 + 2 + 7 + 9 + 71 + 9 + 87 + 480 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 110685 + ... + 517875.

It is an arithmetic number, because the mean of its divisors is an integer number (2716021539).

Almost surely, 2127971987480 is an apocalyptic number.

127971987480 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 127971987480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217281723120).

127971987480 is an abundant number, since it is smaller than the sum of its proper divisors (306591458760).

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

127971987480 is a wasteful number, since it uses less digits than its factorization.

127971987480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407311 (or 407298 counting only the distinct ones).

The product of its (nonzero) digits is 14224896, while the sum is 63.

The spelling of 127971987480 in words is "one hundred twenty-seven billion, nine hundred seventy-one million, nine hundred eighty-seven thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 97 108 120 135 162 180 194 216 270 291 324 360 388 405 485 540 582 648 776 810 873 970 1080 1164 1455 1620 1746 1940 2328 2619 2910 3240 3492 3880 4365 5238 5820 6984 7857 8730 10476 11640 13095 15714 17460 20952 26190 31428 34920 39285 52380 62856 78570 104760 157140 314280 407191 814382 1221573 1628764 2035955 2443146 3257528 3664719 4071910 4886292 6107865 7329438 8143820 9772584 10994157 12215730 14658876 16287640 18323595 21988314 24431460 29317752 32982471 36647190 39497527 43976628 48862920 54970785 65964942 73294380 78995054 87953256 109941570 118492581 131929884 146588760 157990108 164912355 197487635 219883140 236985162 263859768 315980216 329824710 355477743 394975270 439766280 473970324 592462905 659649420 710955486 789950540 947940648 1066433229 1184925810 1319298840 1421910972 1579901080 1777388715 2132866458 2369851620 2843821944 3199299687 3554777430 4265732916 4739703240 5332166145 6398599374 7109554860 8531465832 10664332290 12797198748 14219109720 15996498435 21328664580 25594397496 31992996870 42657329160 63985993740 127971987480