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313845204492 = 223283275338153
BaseRepresentation
bin1001001000100101010…
…00011100011000001100
31010000002102010021210200
410210102220130120030
520120223333020432
6400102315533500
731450243136121
oct4442250343014
91100072107720
10313845204492
11111112488366
12509aa15a290
132379834cbc1
1411293c42748
15826ce16a7c
hex4912a1c60c

313845204492 has 72 divisors (see below), whose sum is σ = 803201830704. Its totient is φ = 103314395136.

The previous prime is 313845204469. The next prime is 313845204553. The reversal of 313845204492 is 294402548313.

313845204492 is a `hidden beast` number, since 3 + 1 + 3 + 84 + 520 + 4 + 49 + 2 = 666.

It is a super-3 number, since 3×3138452044923 (a number of 35 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8206888 + ... + 8245040.

It is an arithmetic number, because the mean of its divisors is an integer number (11155580982).

Almost surely, 2313845204492 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313845204492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401600915352).

313845204492 is an abundant number, since it is smaller than the sum of its proper divisors (489356626212).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

313845204492 is a wasteful number, since it uses less digits than its factorization.

313845204492 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40999 (or 40994 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 313845204492 in words is "three hundred thirteen billion, eight hundred forty-five million, two hundred four thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 36 83 166 249 332 498 747 996 1494 2753 2988 5506 8259 11012 16518 24777 33036 38153 49554 76306 99108 114459 152612 228499 228918 343377 456998 457836 685497 686754 913996 1370994 1373508 2056491 2741988 3166699 4112982 6333398 8225964 9500097 12666796 19000194 28500291 38000388 57000582 105035209 114001164 210070418 315105627 420140836 630211254 945316881 1260422508 1890633762 3781267524 8717922347 17435844694 26153767041 34871689388 52307534082 78461301123 104615068164 156922602246 313845204492