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40880933775 = 325211113146173
BaseRepresentation
bin100110000100101100…
…011000101110001111
310220112001200121110100
4212010230120232033
51132211004340100
630440324142143
72645032126563
oct460454305617
9126461617410
1040880933775
1116379248690
127b0ab37953
133b16731856
141d9b5a36a3
1510e3ee9400
hex984b18b8f

40880933775 has 72 divisors (see below), whose sum is σ = 80586310896. Its totient is φ = 19645516800.

The previous prime is 40880933699. The next prime is 40880933777. The reversal of 40880933775 is 57733908804.

40880933775 is a `hidden beast` number, since 408 + 80 + 93 + 3 + 7 + 75 = 666.

It is not a de Polignac number, because 40880933775 - 212 = 40880929679 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40880933777) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 206589 + ... + 352761.

It is an arithmetic number, because the mean of its divisors is an integer number (1119254318).

Almost surely, 240880933775 is an apocalyptic number.

40880933775 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

40880933775 is a deficient number, since it is larger than the sum of its proper divisors (39705377121).

40880933775 is a wasteful number, since it uses less digits than its factorization.

40880933775 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146313 (or 146305 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 40880933775 in words is "forty billion, eight hundred eighty million, nine hundred thirty-three thousand, seven hundred seventy-five".

Divisors: 1 3 5 9 11 15 25 33 45 55 75 99 113 165 225 275 339 495 565 825 1017 1243 1695 2475 2825 3729 5085 6215 8475 11187 18645 25425 31075 55935 93225 146173 279675 438519 730865 1315557 1607903 2192595 3654325 4823709 6577785 8039515 10962975 14471127 16517549 24118545 32888925 40197575 49552647 72355635 82587745 120592725 148657941 181693039 247763235 361778175 412938725 545079117 743289705 908465195 1238816175 1635237351 2725395585 3716448525 4542325975 8176186755 13626977925 40880933775