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16405382973 = 373733136373
BaseRepresentation
bin11110100011101011…
…00100011100111101
31120100022121210200210
433101311210130331
5232044234223343
611311520143033
71120353311610
oct172165443475
946308553623
1016405382973
116a59458051
12321a167a79
131715a60a05
14b18b38177
156603be333
hex3d1d6473d

16405382973 has 32 divisors (see below), whose sum is σ = 25686098176. Its totient is φ = 9116955648.

The previous prime is 16405382957. The next prime is 16405383077. The reversal of 16405382973 is 37928350461.

It is not a de Polignac number, because 16405382973 - 24 = 16405382957 is a prime.

It is the 128084-th Hogben number.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16405382953) by changing a digit.

It is a nontrivial repunit in base 128083.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2571015 + ... + 2577387.

It is an arithmetic number, because the mean of its divisors is an integer number (802690568).

It is a 2-persistent number, because it is pandigital, and so is 2⋅16405382973 = 32810765946, but 3⋅16405382973 = 49216148919 is not.

Almost surely, 216405382973 is an apocalyptic number.

It is an amenable number.

16405382973 is a deficient number, since it is larger than the sum of its proper divisors (9280715203).

16405382973 is a wasteful number, since it uses less digits than its factorization.

16405382973 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9733.

The product of its (nonzero) digits is 1088640, while the sum is 48.

The spelling of 16405382973 in words is "sixteen billion, four hundred five million, three hundred eighty-two thousand, nine hundred seventy-three".

Divisors: 1 3 7 21 37 111 259 777 3313 6373 9939 19119 23191 44611 69573 122581 133833 235801 367743 707403 858067 1650607 2574201 4951821 21113749 63341247 147796243 443388729 781208713 2343626139 5468460991 16405382973