Search a number
-
+
10643104304256 = 273179154840321
BaseRepresentation
bin1001101011100000101001…
…1100111000110010000000
31101200110201020102211200210
42122320022130320302000
52343334034200214011
634345212530114120
72145640021625664
oct232701234706200
941613636384623
1010643104304256
113433795a07366
12123a85611b940
135c284303c4b8
1428b1b3d788a4
15136cb90916a6
hex9ae0a738c80

10643104304256 has 64 divisors (see below), whose sum is σ = 28428683119200. Its totient is φ = 3527881850880.

The previous prime is 10643104304249. The next prime is 10643104304257. The reversal of 10643104304256 is 65240340134601.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×106431043042562 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10643104304257) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 77351425 + ... + 77488896.

Almost surely, 210643104304256 is an apocalyptic number.

10643104304256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10643104304256 is an abundant number, since it is smaller than the sum of its proper divisors (17785578814944).

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

10643104304256 is a wasteful number, since it uses less digits than its factorization.

10643104304256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154840517 (or 154840505 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 39.

Adding to 10643104304256 its reverse (65240340134601), we get a palindrome (75883444438857).

The spelling of 10643104304256 in words is "ten trillion, six hundred forty-three billion, one hundred four million, three hundred four thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 179 192 358 384 537 716 1074 1432 2148 2864 4296 5728 8592 11456 17184 22912 34368 68736 154840321 309680642 464520963 619361284 929041926 1238722568 1858083852 2477445136 3716167704 4954890272 7432335408 9909780544 14864670816 19819561088 27716417459 29729341632 55432834918 59458683264 83149252377 110865669836 166298504754 221731339672 332597009508 443462679344 665194019016 886925358688 1330388038032 1773850717376 2660776076064 3547701434752 5321552152128 10643104304256