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272001310080 = 2735294885081
BaseRepresentation
bin1111110101010010001…
…0101001110110000000
3222000002020110012200120
43331110202221312000
513424024313410310
6324542232020240
725436305662633
oct3752442516600
9860066405616
10272001310080
11a539a715145
1244870831680
131c85a27c276
14d244813c1a
15711e605b70
hex3f548a9d80

272001310080 has 128 divisors (see below), whose sum is σ = 896901055200. Its totient is φ = 70032506880.

The previous prime is 272001310033. The next prime is 272001310081. The reversal of 272001310080 is 80013100272.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 272001310080.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (272001310081) 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, 2386861 + ... + 2498220.

Almost surely, 2272001310080 is an apocalyptic number.

272001310080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

272001310080 is an abundant number, since it is smaller than the sum of its proper divisors (624899745120).

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

272001310080 is a wasteful number, since it uses less digits than its factorization.

272001310080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4885132 (or 4885120 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The spelling of 272001310080 in words is "two hundred seventy-two billion, one million, three hundred ten thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 32 40 48 58 60 64 80 87 96 116 120 128 145 160 174 192 232 240 290 320 348 384 435 464 480 580 640 696 870 928 960 1160 1392 1740 1856 1920 2320 2784 3480 3712 4640 5568 6960 9280 11136 13920 18560 27840 55680 4885081 9770162 14655243 19540324 24425405 29310486 39080648 48850810 58620972 73276215 78161296 97701620 117241944 141667349 146552430 156322592 195403240 234483888 283334698 293104860 312645184 390806480 425002047 468967776 566669396 586209720 625290368 708336745 781612960 850004094 937935552 1133338792 1172419440 1416673490 1563225920 1700008188 1875871104 2125010235 2266677584 2344838880 2833346980 3126451840 3400016376 4250020470 4533355168 4689677760 5666693960 6800032752 8500040940 9066710336 9379355520 11333387920 13600065504 17000081880 18133420672 22666775840 27200131008 34000163760 45333551680 54400262016 68000327520 90667103360 136000655040 272001310080