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67282020160480 = 2554712373723113
BaseRepresentation
bin11110100110001010100001…
…11010010101001111100000
322211020002122200001001001101
433103011100322111033200
532304322034130113410
6355032533334444144
720112652116134146
oct1723052072251740
9284202580031041
1067282020160480
111a490165384144
127667858503654
132b7088a013608
141288677c11596
157ba25e23ad3a
hex3d3150e953e0

67282020160480 has 96 divisors (see below), whose sum is σ = 162349112467584. Its totient is φ = 26338029858816.

The previous prime is 67282020160429. The next prime is 67282020160489. The reversal of 67282020160480 is 8406102028276.

It is a self number, because there is not a number n which added to its sum of digits gives 67282020160480.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67282020160489) 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, 92683404 + ... + 93406516.

It is an arithmetic number, because the mean of its divisors is an integer number (1691136588204).

Almost surely, 267282020160480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67282020160480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81174556233792).

67282020160480 is an abundant number, since it is smaller than the sum of its proper divisors (95067092307104).

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

67282020160480 is a wasteful number, since it uses less digits than its factorization.

67282020160480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 735548 (or 735540 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 46.

The spelling of 67282020160480 in words is "sixty-seven trillion, two hundred eighty-two billion, twenty million, one hundred sixty thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 47 80 94 160 188 235 376 470 752 940 1504 1880 3760 7520 12373 24746 49492 61865 98984 123730 197968 247460 395936 494920 581531 723113 989840 1163062 1446226 1979680 2326124 2892452 2907655 3615565 4652248 5784904 5815310 7231130 9304496 11569808 11630620 14462260 18608992 23139616 23261240 28924520 33986311 46522480 57849040 67972622 93044960 115698080 135945244 169931555 271890488 339863110 543780976 679726220 1087561952 1359452440 2718904880 5437809760 8947077149 17894154298 35788308596 44735385745 71576617192 89470771490 143153234384 178941542980 286306468768 357883085960 420512626003 715766171920 841025252006 1431532343840 1682050504012 2102563130015 3364101008024 4205126260030 6728202016048 8410252520060 13456404032096 16820505040120 33641010080240 67282020160480