Search a number
-
+
16001065556064 = 253319974723779
BaseRepresentation
bin1110100011011000100111…
…0101000001100001100000
32002122200112202210122212000
43220312021311001201200
54044130140240243224
654010442114404000
73241016215054101
oct350661165014140
962580482718760
1016001065556064
11510a0173a5516
121965144590600
138c0b81199364
143d46546523a8
151cb35770b0c9
hexe8d89d41860

16001065556064 has 96 divisors (see below), whose sum is σ = 49126078512000. Its totient is φ = 5052968065152.

The previous prime is 16001065556011. The next prime is 16001065556291. The reversal of 16001065556064 is 46065556010061.

16001065556064 is a `hidden beast` number, since 16 + 0 + 0 + 10 + 6 + 5 + 5 + 560 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 487345474 + ... + 487378305.

It is an arithmetic number, because the mean of its divisors is an integer number (511729984500).

Almost surely, 216001065556064 is an apocalyptic number.

It is an amenable number.

16001065556064 is an abundant number, since it is smaller than the sum of its proper divisors (33125012955936).

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

16001065556064 is a wasteful number, since it uses less digits than its factorization.

16001065556064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 974723817 (or 974723803 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 16001065556064 in words is "sixteen trillion, one billion, sixty-five million, five hundred fifty-six thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 72 76 96 108 114 144 152 171 216 228 288 304 342 432 456 513 608 684 864 912 1026 1368 1824 2052 2736 4104 5472 8208 16416 974723779 1949447558 2924171337 3898895116 5848342674 7797790232 8772514011 11696685348 15595580464 17545028022 18519751801 23393370696 26317542033 31191160928 35090056044 37039503602 46786741392 52635084066 55559255403 70180112088 74079007204 93573482784 105270168132 111118510806 140360224176 148158014408 166677766209 210540336264 222237021612 280720448352 296316028816 333355532418 421080672528 444474043224 500033298627 592632057632 666711064836 842161345056 888948086448 1000066597254 1333422129672 1777896172896 2000133194508 2666844259344 4000266389016 5333688518688 8000532778032 16001065556064