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66429905280 = 273547736147
BaseRepresentation
bin111101110111100001…
…111110100110000000
320100110121120211121020
4331313201332212000
52042022023432110
650303435225440
74541123610144
oct756741764600
9210417524536
1066429905280
1126199a4a072
1210a5b2a8280
13635890837b
14330280d224
151adbea9d70
hexf7787e980

66429905280 has 128 divisors (see below), whose sum is σ = 216250836480. Its totient is φ = 17337710592.

The previous prime is 66429905263. The next prime is 66429905287. The reversal of 66429905280 is 8250992466.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66429905287) 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, 277834 + ... + 458313.

It is an arithmetic number, because the mean of its divisors is an integer number (1689459660).

Almost surely, 266429905280 is an apocalyptic number.

66429905280 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

66429905280 is an abundant number, since it is smaller than the sum of its proper divisors (149820931200).

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

66429905280 is a wasteful number, since it uses less digits than its factorization.

66429905280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 736216 (or 736204 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 51.

The spelling of 66429905280 in words is "sixty-six billion, four hundred twenty-nine million, nine hundred five thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 47 48 60 64 80 94 96 120 128 141 160 188 192 235 240 282 320 376 384 470 480 564 640 705 752 940 960 1128 1410 1504 1880 1920 2256 2820 3008 3760 4512 5640 6016 7520 9024 11280 15040 18048 22560 30080 45120 90240 736147 1472294 2208441 2944588 3680735 4416882 5889176 7361470 8833764 11042205 11778352 14722940 17667528 22084410 23556704 29445880 34598909 35335056 44168820 47113408 58891760 69197818 70670112 88337640 94226816 103796727 117783520 138395636 141340224 172994545 176675280 207593454 235567040 276791272 282680448 345989090 353350560 415186908 471134080 518983635 553582544 691978180 706701120 830373816 1037967270 1107165088 1383956360 1413402240 1660747632 2075934540 2214330176 2767912720 3321495264 4151869080 4428660352 5535825440 6642990528 8303738160 11071650880 13285981056 16607476320 22143301760 33214952640 66429905280