Search a number
-
+
2969378064 = 24321922392
BaseRepresentation
bin1011000011111101…
…0001110100010000
321122221102000221100
42300333101310100
522040130044224
61210352024400
7133404203622
oct26077216420
97587360840
102969378064
111294155764
126aa532100
13384252453
14202514c12
15125a45ac9
hexb0fd1d10

2969378064 has 135 divisors (see below), whose sum is σ = 8807380023. Its totient is φ = 933774912.

The previous prime is 2969378047. The next prime is 2969378077. The reversal of 2969378064 is 4608739692.

It is a happy number.

The square root of 2969378064 is 54492.

It is a perfect power (a square), and thus also a powerful number.

It is a self number, because there is not a number n which added to its sum of digits gives 2969378064.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 12424057 + ... + 12424295.

Almost surely, 22969378064 is an apocalyptic number.

2969378064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

2969378064 is the 54492-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2969378064

2969378064 is an abundant number, since it is smaller than the sum of its proper divisors (5838001959).

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

2969378064 is a wasteful number, since it uses less digits than its factorization.

2969378064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The cubic root of 2969378064 is about 1437.3256148787.

The spelling of 2969378064 in words is "two billion, nine hundred sixty-nine million, three hundred seventy-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 239 304 342 361 456 478 684 717 722 912 956 1083 1368 1434 1444 1912 2151 2166 2736 2868 2888 3249 3824 4302 4332 4541 5736 5776 6498 8604 8664 9082 11472 12996 13623 17208 17328 18164 25992 27246 34416 36328 40869 51984 54492 57121 72656 81738 86279 108984 114242 163476 171363 172558 217968 228484 258837 326952 342726 345116 456968 514089 517674 653904 685452 690232 776511 913936 1028178 1035348 1085299 1370904 1380464 1553022 2056356 2070696 2170598 2741808 3106044 3255897 4112712 4141392 4341196 6212088 6511794 8225424 8682392 9767691 12424176 13023588 17364784 19535382 20620681 26047176 39070764 41241362 52094352 61862043 78141528 82482724 123724086 156283056 164965448 185586129 247448172 329930896 371172258 494896344 742344516 989792688 1484689032 2969378064