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472511355450113 = 72257187572000413
BaseRepresentation
bin110101101101111110001111…
…1011111100111001100000001
32021222000122101210020002021102
41223123330133133213030001
5443413111223443400423
64352540415305304145
7201345550605462500
oct15333743737471401
92258018353202242
10472511355450113
11127613a38895811
1244bb3a48a95055
13173868253a5025
148497958d3c837
1539961885d7c28
hex1adbf1f7e7301

472511355450113 has 24 divisors (see below), whose sum is σ = 551824500031272. Its totient is φ = 403412109778944.

The previous prime is 472511355450091. The next prime is 472511355450149. The reversal of 472511355450113 is 311054553115274.

It can be written as a sum of positive squares in 4 ways, for example, as 383557653898384 + 88953701551729 = 19584628^2 + 9431527^2 .

It is not a de Polignac number, because 472511355450113 - 232 = 472507060482817 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (472511315450113) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 235206695 + ... + 237207107.

It is an arithmetic number, because the mean of its divisors is an integer number (22992687501303).

Almost surely, 2472511355450113 is an apocalyptic number.

It is an amenable number.

472511355450113 is a deficient number, since it is larger than the sum of its proper divisors (79313144581159).

472511355450113 is a wasteful number, since it uses less digits than its factorization.

472511355450113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2019441 (or 2019434 counting only the distinct ones).

The product of its (nonzero) digits is 1260000, while the sum is 47.

The spelling of 472511355450113 in words is "four hundred seventy-two trillion, five hundred eleven billion, three hundred fifty-five million, four hundred fifty thousand, one hundred thirteen".

Divisors: 1 7 49 257 1799 12593 18757 131299 919093 2000413 4820549 14002891 33743843 98020237 236206901 514106141 3598742987 25191200909 37521746641 262652226487 1838565585409 9643088886737 67501622207159 472511355450113