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42772662471 = 37211231150081
BaseRepresentation
bin100111110101011100…
…110000100011000111
311002101220022101101010
4213311130300203013
51200044300144341
631352142333303
73042642426600
oct476534604307
9132356271333
1042772662471
111715a064430
12835858a233
13405862a646
1420da916da7
1511a5121716
hex9f57308c7

42772662471 has 48 divisors (see below), whose sum is σ = 75518984448. Its totient is φ = 21253478400.

The previous prime is 42772662353. The next prime is 42772662523. The reversal of 42772662471 is 17426627724.

It is not a de Polignac number, because 42772662471 - 211 = 42772660423 is a prime.

It is a super-3 number, since 3×427726624713 (a number of 33 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 42772662471.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42772662071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 537850 + ... + 612231.

It is an arithmetic number, because the mean of its divisors is an integer number (1573312176).

Almost surely, 242772662471 is an apocalyptic number.

42772662471 is a deficient number, since it is larger than the sum of its proper divisors (32746321977).

42772662471 is a wasteful number, since it uses less digits than its factorization.

42772662471 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1150132 (or 1150125 counting only the distinct ones).

The product of its digits is 1580544, while the sum is 48.

The spelling of 42772662471 in words is "forty-two billion, seven hundred seventy-two million, six hundred sixty-two thousand, four hundred seventy-one".

Divisors: 1 3 7 11 21 23 33 49 69 77 147 161 231 253 483 539 759 1127 1617 1771 3381 5313 12397 37191 1150081 3450243 8050567 12650891 24151701 26451863 37952673 56353969 79355589 88556237 169061907 185163041 265668711 290970493 555489123 619893659 872911479 1296141287 1859680977 2036793451 3888423861 6110380353 14257554157 42772662471