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16772742104664 = 23371317393441547
BaseRepresentation
bin1111010000010011010101…
…0101011100011001011000
32012101110101020100222210010
43310010311111130121120
54144301033434322124
655401142533121520
73350535120360060
oct364046525343130
965343336328703
1016772742104664
115387309720a37
121a6a8054892a0
13948880208b20
1441db3b0ac3a0
151e146e194529
hexf413555c658

16772742104664 has 128 divisors (see below), whose sum is σ = 51611521328640. Its totient is φ = 4423315986432.

The previous prime is 16772742104641. The next prime is 16772742104681. The reversal of 16772742104664 is 46640124727761.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37765539 + ... + 38207085.

It is an arithmetic number, because the mean of its divisors is an integer number (403215010380).

Almost surely, 216772742104664 is an apocalyptic number.

16772742104664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

16772742104664 is an abundant number, since it is smaller than the sum of its proper divisors (34838779223976).

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

16772742104664 is a wasteful number, since it uses less digits than its factorization.

16772742104664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458969 (or 458965 counting only the distinct ones).

The product of its (nonzero) digits is 18966528, while the sum is 57.

The spelling of 16772742104664 in words is "sixteen trillion, seven hundred seventy-two billion, seven hundred forty-two million, one hundred four thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 156 168 182 273 312 364 546 728 1092 2184 17393 34786 52179 69572 104358 121751 139144 208716 226109 243502 365253 417432 441547 452218 487004 678327 730506 883094 904436 974008 1324641 1356654 1461012 1582763 1766188 1808872 2649282 2713308 2922024 3090829 3165526 3532376 4748289 5298564 5426616 5740111 6181658 6331052 9272487 9496578 10597128 11480222 12363316 12662104 17220333 18544974 18993156 22960444 24726632 34440666 37089948 37986312 40180777 45920888 68881332 74179896 80361554 120542331 137762664 160723108 241084662 321446216 482169324 964338648 7679826971 15359653942 23039480913 30719307884 46078961826 53758788797 61438615768 92157923652 99837750623 107517577594 161276366391 184315847304 199675501246 215035155188 299513251869 322552732782 399351002492 430070310376 599026503738 645105465564 698864254361 798702004984 1198053007476 1290210931128 1397728508722 2096592763083 2396106014952 2795457017444 4193185526166 5590914034888 8386371052332 16772742104664