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16244366560164 = 22331392294725293
BaseRepresentation
bin1110110001100010111110…
…1100101100101110100100
32010111221112211120021012000
43230120233230230232210
54112121430314411124
654314320423325300
73264421355345421
oct354305754545644
963457484507160
1016244366560164
1151a3219484a16
1219a43255b0830
1390aab6412142
1440233549cd48
151d28473676c9
hexec62fb2cba4

16244366560164 has 96 divisors (see below), whose sum is σ = 42603250704000. Its totient is φ = 5352357149568.

The previous prime is 16244366560129. The next prime is 16244366560187. The reversal of 16244366560164 is 46106566344261.

16244366560164 is a `hidden beast` number, since 1 + 6 + 2 + 4 + 4 + 3 + 66 + 560 + 16 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 16244366560164.

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, 1075102 + ... + 5800394.

It is an arithmetic number, because the mean of its divisors is an integer number (443783861500).

Almost surely, 216244366560164 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 16244366560164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21301625352000).

16244366560164 is an abundant number, since it is smaller than the sum of its proper divisors (26358884143836).

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

16244366560164 is a wasteful number, since it uses less digits than its factorization.

16244366560164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4725674 (or 4725666 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 54.

The spelling of 16244366560164 in words is "sixteen trillion, two hundred forty-four billion, three hundred sixty-six million, five hundred sixty thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 139 229 278 417 458 556 687 834 916 1251 1374 1668 2061 2502 2748 3753 4122 5004 6183 7506 8244 12366 15012 24732 31831 63662 95493 127324 190986 286479 381972 572958 859437 1145916 1718874 3437748 4725293 9450586 14175879 18901172 28351758 42527637 56703516 85055274 127582911 170110548 255165822 510331644 656815727 1082092097 1313631454 1970447181 2164184194 2627262908 3246276291 3940894362 4328368388 5911341543 6492552582 7881788724 9738828873 11822683086 12985105164 17734024629 19477657746 23645366172 29216486619 35468049258 38955315492 58432973238 70936098516 116865946476 150410801483 300821602966 451232404449 601643205932 902464808898 1353697213347 1804929617796 2707394426694 4061091640041 5414788853388 8122183280082 16244366560164