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468525779350431 = 311371153332803987
BaseRepresentation
bin110101010000111110010100…
…0101001010111001110011111
32021102220121221010122102211120
41222201330220221113032133
5442402311244003203211
64340245434401422023
7200454604403552025
oct15241745051271637
92242817833572746
10468525779350431
11126317738001a20
124466b52763a913
1317157a3997756a
14839aaa94dc715
15392766da95d06
hex1aa1f28a5739f

468525779350431 has 32 divisors (see below), whose sum is σ = 700517783125248. Its totient is φ = 276040938147840.

The previous prime is 468525779350429. The next prime is 468525779350439. The reversal of 468525779350431 is 134053977525864.

It is a happy number.

It is not a de Polignac number, because 468525779350431 - 21 = 468525779350429 is a prime.

It is a super-2 number, since 2×4685257793504312 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468525779350439) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 164994181 + ... + 167809806.

It is an arithmetic number, because the mean of its divisors is an integer number (21891180722664).

It is a 1-persistent number, because it is pandigital, but 2⋅468525779350431 = 937051558700862 is not.

Almost surely, 2468525779350431 is an apocalyptic number.

468525779350431 is a deficient number, since it is larger than the sum of its proper divisors (231992003774817).

468525779350431 is a wasteful number, since it uses less digits than its factorization.

468525779350431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332805191.

The product of its (nonzero) digits is 762048000, while the sum is 69.

The spelling of 468525779350431 in words is "four hundred sixty-eight trillion, five hundred twenty-five billion, seven hundred seventy-nine million, three hundred fifty thousand, four hundred thirty-one".

Divisors: 1 3 11 33 37 111 407 1153 1221 3459 12683 38049 42661 127983 469271 1407813 332803987 998411961 3660843857 10982531571 12313747519 36941242557 135451222709 383722997011 406353668127 1151168991033 4220952967121 12662858901363 14197750889407 42593252668221 156175259783477 468525779350431