Search a number
-
+
16964504064 = 29326160353
BaseRepresentation
bin11111100110010100…
…11100101000000000
31121210021201002122100
433303022130220000
5234220403112224
611443212110400
71140252622344
oct176312345000
947707632570
1016964504064
117216024aa2
123355465400
1317a48459b1
14b6d0bd624
15694514ac9
hex3f329ca00

16964504064 has 120 divisors (see below), whose sum is σ = 49764166452. Its totient is φ = 5562040320.

The previous prime is 16964504057. The next prime is 16964504101. The reversal of 16964504064 is 46040546961.

It is a happy number.

16964504064 is a `hidden beast` number, since 16 + 96 + 450 + 40 + 64 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11924640000 + 5039864064 = 109200^2 + 70992^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 250912 + ... + 311264.

Almost surely, 216964504064 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 16964504064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24882083226).

16964504064 is an abundant number, since it is smaller than the sum of its proper divisors (32799662388).

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

16964504064 is an equidigital number, since it uses as much as digits as its factorization.

16964504064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60438 (or 60419 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 16964504064 in words is "sixteen billion, nine hundred sixty-four million, five hundred four thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 61 64 72 96 122 128 144 183 192 244 256 288 366 384 488 512 549 576 732 768 976 1098 1152 1464 1536 1952 2196 2304 2928 3904 4392 4608 5856 7808 8784 11712 15616 17568 23424 31232 35136 46848 60353 70272 93696 120706 140544 181059 241412 281088 362118 482824 543177 724236 965648 1086354 1448472 1931296 2172708 2896944 3681533 3862592 4345416 5793888 7363066 7725184 8690832 11044599 11587776 14726132 15450368 17381664 22089198 23175552 29452264 30900736 33133797 34763328 44178396 46351104 58904528 66267594 69526656 88356792 92702208 117809056 132535188 139053312 176713584 235618112 265070376 278106624 353427168 471236224 530140752 706854336 942472448 1060281504 1413708672 1884944896 2120563008 2827417344 4241126016 5654834688 8482252032 16964504064