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399313313993 = 1137119122123
BaseRepresentation
bin1011100111110001110…
…11011010000011001001
31102011200211110002212202
411303320323122003021
523020243202021433
6503235250045545
740564233110666
oct5637073320311
91364624402782
10399313313993
11144390a57000
12654812798b5
132b8692b1069
1415480cd2a6d
15a5c14a5ee8
hex5cf8eda0c9

399313313993 has 32 divisors (see below), whose sum is σ = 447752945664. Its totient is φ = 356009346000.

The previous prime is 399313313897. The next prime is 399313314019.

399313313993 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 399313313993 - 226 = 399246205129 is a prime.

It is a super-2 number, since 2×3993133139932 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (399313318993) 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, 18038630 + ... + 18060752.

It is an arithmetic number, because the mean of its divisors is an integer number (13992279552).

Almost surely, 2399313313993 is an apocalyptic number.

It is an amenable number.

399313313993 is a deficient number, since it is larger than the sum of its proper divisors (48439631671).

399313313993 is a wasteful number, since it uses less digits than its factorization.

399313313993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22418 (or 22396 counting only the distinct ones).

The product of its digits is 4782969, while the sum is 56.

The spelling of 399313313993 in words is "three hundred ninety-nine billion, three hundred thirteen million, three hundred thirteen thousand, nine hundred ninety-three".

Divisors: 1 11 71 121 191 781 1331 2101 8591 13561 22123 23111 94501 149171 243353 254221 1570733 1640881 2676883 4225493 17278063 18049691 29445713 46480423 190058693 300010003 511284653 2090645623 3300110033 5624131183 36301210363 399313313993