Search a number
-
+
42260669476 = 222324121092
BaseRepresentation
bin100111010110111011…
…101010010000100100
311001002012220110000121
4213112323222100210
51143022212410401
631225252451324
73024154522624
oct472673522044
9131065813017
1042260669476
1116a17056523
128235019b44
133ca65367cc
14208c91c884
1511751d9ca1
hex9d6eea424

42260669476 has 81 divisors (see below), whose sum is σ = 79976768403. Its totient is φ = 19537752960.

The previous prime is 42260669387. The next prime is 42260669483. The reversal of 42260669476 is 67496606224.

The square root of 42260669476 is 205574.

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

42260669476 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 5289071076 + 36971598400 = 72726^2 + 192280^2 .

It is a super-2 number, since 2×422606694762 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

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, 387712510 + ... + 387712618.

Almost surely, 242260669476 is an apocalyptic number.

42260669476 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

42260669476 is the 205574-th square number.

It is an amenable number.

42260669476 is a deficient number, since it is larger than the sum of its proper divisors (37716098927).

42260669476 is a wasteful number, since it uses less digits than its factorization.

42260669476 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 52.

The spelling of 42260669476 in words is "forty-two billion, two hundred sixty million, six hundred sixty-nine thousand, four hundred seventy-six".

Divisors: 1 2 4 23 41 46 82 92 109 164 218 436 529 943 1058 1681 1886 2116 2507 3362 3772 4469 5014 6724 8938 10028 11881 17876 21689 23762 38663 43378 47524 57661 77326 86756 102787 115322 154652 183229 205574 230644 273263 366458 411148 487121 546526 732916 889249 974242 1093052 1778498 1948484 2364101 3556996 4214267 4728202 6285049 8428534 9456404 11203783 12570098 16857068 19971961 22407566 25140196 39943922 44815132 79887844 96928141 193856282 257687009 387712564 459355103 515374018 918710206 1030748036 1837420412 10565167369 21130334738 42260669476