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46083813129740 = 22533113901500777
BaseRepresentation
bin10100111101001101110010…
…10011111011111000001100
320001011120101011122200212002
422132212321103323320030
522020014122130122430
6242002340025331432
712464305564311641
oct1236467123737014
9201146334580762
1046083813129740
11137580431223a1
125203427936b78
131c938b9a42a49
14b5467b631dc8
1554db2bcd4845
hex29e9b94fbe0c

46083813129740 has 48 divisors (see below), whose sum is σ = 97075558901664. Its totient is φ = 18376476096000.

The previous prime is 46083813129733. The next prime is 46083813129743. The reversal of 46083813129740 is 4792131838064.

It is a Smith number, since the sum of its digits (56) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (46083813129743) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91774232 + ... + 92275008.

It is an arithmetic number, because the mean of its divisors is an integer number (2022407477118).

Almost surely, 246083813129740 is an apocalyptic number.

It is an amenable number.

46083813129740 is an abundant number, since it is smaller than the sum of its proper divisors (50991745771924).

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

46083813129740 is a wasteful number, since it uses less digits than its factorization.

46083813129740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515018 (or 515016 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 56.

The spelling of 46083813129740 in words is "forty-six trillion, eighty-three billion, eight hundred thirteen million, one hundred twenty-nine thousand, seven hundred forty".

Divisors: 1 2 4 5 10 20 331 662 1324 1655 3310 6620 13901 27802 55604 69505 139010 278020 500777 1001554 2003108 2503885 4601231 5007770 9202462 10015540 18404924 23006155 46012310 92024620 165757187 331514374 663028748 828785935 1657571870 3315143740 6961301077 13922602154 27845204308 34806505385 69613010770 139226021540 2304190656487 4608381312974 9216762625948 11520953282435 23041906564870 46083813129740