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6552000071280 = 2432567135820897
BaseRepresentation
bin101111101011000000110…
…1000110000011001110000
3212012100212011001120202200
41133112001220300121300
51324321444004240110
621533540340143200
71244236445463066
oct137260150603160
925170764046680
106552000071280
1120a6762259074
128999a3697b00
13386b0a71b201
1418919321a036
15b5674d396c0
hex5f581a30670

6552000071280 has 120 divisors (see below), whose sum is σ = 22332215332752. Its totient is φ = 1721122394112.

The previous prime is 6552000071269. The next prime is 6552000071311. The reversal of 6552000071280 is 821700002556.

It is a happy number.

6552000071280 is a `hidden beast` number, since 6 + 5 + 520 + 0 + 0 + 0 + 7 + 128 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-3 number, since 3×65520000712803 (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

6552000071280 is a modest number, since divided by 71280 gives 65520 as remainder.

It is a congruent number.

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, 67862209 + ... + 67958688.

Almost surely, 26552000071280 is an apocalyptic number.

6552000071280 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6552000071280 is an abundant number, since it is smaller than the sum of its proper divisors (15780215261472).

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

6552000071280 is a wasteful number, since it uses less digits than its factorization.

6552000071280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135820983 (or 135820974 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 6552000071280 in words is "six trillion, five hundred fifty-two billion, seventy-one thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 67 72 80 90 120 134 144 180 201 240 268 335 360 402 536 603 670 720 804 1005 1072 1206 1340 1608 2010 2412 2680 3015 3216 4020 4824 5360 6030 8040 9648 12060 16080 24120 48240 135820897 271641794 407462691 543283588 679104485 814925382 1086567176 1222388073 1358208970 1629850764 2037313455 2173134352 2444776146 2716417940 3259701528 4074626910 4889552292 5432835880 6111940365 6519403056 8149253820 9100000099 9779104584 10865671760 12223880730 16298507640 18200000198 19558209168 24447761460 27300000297 32597015280 36400000396 45500000495 48895522920 54600000594 72800000792 81900000891 91000000990 97791045840 109200001188 136500001485 145600001584 163800001782 182000001980 218400002376 273000002970 327600003564 364000003960 409500004455 436800004752 546000005940 655200007128 728000007920 819000008910 1092000011880 1310400014256 1638000017820 2184000023760 3276000035640 6552000071280