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47316377613001 = 7241137977175961
BaseRepresentation
bin10101100001000101100111…
…11000010011001011001001
320012112101211201011221220011
422300202303320103023021
522200212420132104001
6244344502132031521
712652331642461300
oct1260426370231311
9205471751157804
1047316377613001
1114092843699772
1253822931625a1
132052bb8aab753
14b981a69dd437
15570c1a810d51
hex2b08b3e132c9

47316377613001 has 48 divisors (see below), whose sum is σ = 56853993670992. Its totient is φ = 39238460620800.

The previous prime is 47316377612993. The next prime is 47316377613059. The reversal of 47316377613001 is 10031677361374.

It can be written as a sum of positive squares in 8 ways, for example, as 6227764811401 + 41088612801600 = 2495549^2 + 6410040^2 .

It is not a de Polignac number, because 47316377613001 - 23 = 47316377612993 is a prime.

It is a super-2 number, since 2×473163776130012 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (47316377613101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 268814661 + ... + 268990621.

It is an arithmetic number, because the mean of its divisors is an integer number (1184458201479).

Almost surely, 247316377613001 is an apocalyptic number.

47316377613001 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

47316377613001 is a deficient number, since it is larger than the sum of its proper divisors (9537616057991).

47316377613001 is a wasteful number, since it uses less digits than its factorization.

47316377613001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177130 (or 177123 counting only the distinct ones).

The product of its (nonzero) digits is 1333584, while the sum is 49.

The spelling of 47316377613001 in words is "forty-seven trillion, three hundred sixteen billion, three hundred seventy-seven million, six hundred thirteen thousand, one".

Divisors: 1 7 41 49 137 287 959 977 2009 5617 6713 6839 39319 40057 47873 133849 175961 275233 280399 936943 1231727 1962793 5487809 6558601 7214401 8622089 24106657 38414663 50500807 168746599 171913897 268902641 353505649 988372937 1181226193 1203397279 6918610559 7048469777 8423780953 23552203889 48430273913 49339288439 164865427223 345375019073 965640359449 1154057990561 6759482516143 47316377613001