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468000040335 = 351391791253969
BaseRepresentation
bin1101100111101101111…
…10011110010110001111
31122201222201122022222020
412303312332132112033
530131431002242320
6554555105021223
745545322464322
oct6636676362617
91581881568866
10468000040335
11170528905143
1276850324813
1335194623ab9
14189193307b9
15c291653940
hex6cf6f9e58f

468000040335 has 32 divisors (see below), whose sum is σ = 758401056000. Its totient is φ = 246419759616.

The previous prime is 468000040331. The next prime is 468000040337. The reversal of 468000040335 is 533040000864.

It is not a de Polignac number, because 468000040335 - 22 = 468000040331 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 468000040296 and 468000040305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468000040331) 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, 253770 + ... + 1000199.

It is an arithmetic number, because the mean of its divisors is an integer number (23700033000).

Almost surely, 2468000040335 is an apocalyptic number.

468000040335 is a deficient number, since it is larger than the sum of its proper divisors (290401015665).

468000040335 is a wasteful number, since it uses less digits than its factorization.

468000040335 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1254295.

The product of its (nonzero) digits is 34560, while the sum is 33.

The spelling of 468000040335 in words is "four hundred sixty-eight billion, forty thousand, three hundred thirty-five".

Divisors: 1 3 5 15 139 179 417 537 695 895 2085 2685 24881 74643 124405 373215 1253969 3761907 6269845 18809535 174301691 224460451 522905073 673381353 871508455 1122302255 2614525365 3366906765 31200002689 93600008067 156000013445 468000040335