Search a number
-
+
10245443422256 = 247257543165539
BaseRepresentation
bin1001010100010111010000…
…0001000000100000110000
31100021110021120022222100222
42111011310001000200300
52320330132004003011
633442405225232212
72105131432121660
oct225056401004060
940243246288328
1010245443422256
1132a0082793a39
121195776332668
135941ab1c1563
14275c4c7081a0
1512b792be4ddb
hex95174040830

10245443422256 has 80 divisors (see below), whose sum is σ = 22779153707520. Its totient is φ = 4372947025920.

The previous prime is 10245443422189. The next prime is 10245443422273. The reversal of 10245443422256 is 65222434454201.

It is a happy number.

It is a super-2 number, since 2×102454434222562 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 156293135 + ... + 156358673.

It is an arithmetic number, because the mean of its divisors is an integer number (284739421344).

Almost surely, 210245443422256 is an apocalyptic number.

10245443422256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10245443422256 is an abundant number, since it is smaller than the sum of its proper divisors (12533710285264).

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

10245443422256 is a wasteful number, since it uses less digits than its factorization.

10245443422256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71242 (or 71236 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 44.

Adding to 10245443422256 its reverse (65222434454201), we get a palindrome (75467877876457).

The spelling of 10245443422256 in words is "ten trillion, two hundred forty-five billion, four hundred forty-three million, four hundred twenty-two thousand, two hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 56 112 257 514 1028 1799 2056 3598 4112 5431 7196 10862 14392 21724 28784 38017 43448 65539 76034 86896 131078 152068 262156 304136 458773 524312 608272 917546 1048624 1395767 1835092 2791534 3670184 5583068 7340368 9770369 11166136 16843523 19540738 22332272 33687046 39081476 67374092 78162952 117904661 134748184 156325904 235809322 269496368 355942309 471618644 711884618 943237288 1423769236 1886474576 2491596163 2847538472 4983192326 5695076944 9966384652 19932769304 39865538608 91477173413 182954346826 365908693652 640340213891 731817387304 1280680427782 1463634774608 2561360855564 5122721711128 10245443422256