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422485737120 = 253252267129419
BaseRepresentation
bin1100010010111100001…
…11001011111010100000
31111101111202110011112100
412021132013023322200
523410222322041440
6522030503330400
742344406340626
oct6113607137240
91441452404470
10422485737120
111531a2203517
1269a69750a00
1330abccc0435
141663c665516
15aeca9c4230
hex625e1cbea0

422485737120 has 144 divisors (see below), whose sum is σ = 1442379687840. Its totient is φ = 112612296192.

The previous prime is 422485737067. The next prime is 422485737197. The reversal of 422485737120 is 21737584224.

422485737120 is a `hidden beast` number, since 4 + 2 + 2 + 4 + 8 + 573 + 71 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3199771 + ... + 3329189.

It is an arithmetic number, because the mean of its divisors is an integer number (10016525610).

Almost surely, 2422485737120 is an apocalyptic number.

422485737120 is a gapful number since it is divisible by the number (40) 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 422485737120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (721189843920).

422485737120 is an abundant number, since it is smaller than the sum of its proper divisors (1019893950720).

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

422485737120 is a wasteful number, since it uses less digits than its factorization.

422485737120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131707 (or 131696 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 422485737120 in words is "four hundred twenty-two billion, four hundred eighty-five million, seven hundred thirty-seven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 2267 4534 6801 9068 11335 13602 18136 20403 22670 27204 34005 36272 40806 45340 54408 68010 72544 81612 90680 102015 108816 129419 136020 163224 181360 204030 217632 258838 272040 326448 362720 388257 408060 517676 544080 647095 652896 776514 816120 1035352 1088160 1164771 1294190 1553028 1632240 1941285 2070704 2329542 2588380 3106056 3264480 3882570 4141408 4659084 5176760 5823855 6212112 7765140 9318168 10353520 11647710 12424224 15530280 18636336 20707040 23295420 31060560 37272672 46590840 62121120 93181680 186363360 293392873 586785746 880178619 1173571492 1466964365 1760357238 2347142984 2640535857 2933928730 3520714476 4400893095 4694285968 5281071714 5867857460 7041428952 8801786190 9388571936 10562143428 11735714920 13202679285 14082857904 17603572380 21124286856 23471429840 26405358570 28165715808 35207144760 42248573712 46942859680 52810717140 70414289520 84497147424 105621434280 140828579040 211242868560 422485737120