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104475644013 = 31323595411061
BaseRepresentation
bin110000101001100111…
…0111101000001101101
3100222200002100121121210
41201103032331001231
53202431231102023
6115555003345033
710356001215216
oct1412316750155
9328602317553
10104475644013
1140342860754
12182b8822179
139b0cb39200
1450b162a40d
152ab7116593
hex18533bd06d

104475644013 has 48 divisors (see below), whose sum is σ = 151683166080. Its totient is φ = 63934790400.

The previous prime is 104475644011. The next prime is 104475644029. The reversal of 104475644013 is 310446574401.

It is not a de Polignac number, because 104475644013 - 21 = 104475644011 is a prime.

It is a super-2 number, since 2×1044756440132 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104475644011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 98468503 + ... + 98469563.

It is an arithmetic number, because the mean of its divisors is an integer number (3160065960).

Almost surely, 2104475644013 is an apocalyptic number.

104475644013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

104475644013 is a deficient number, since it is larger than the sum of its proper divisors (47207522067).

104475644013 is a wasteful number, since it uses less digits than its factorization.

104475644013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1990 (or 1977 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

The spelling of 104475644013 in words is "one hundred four billion, four hundred seventy-five million, six hundred forty-four thousand, thirteen".

Divisors: 1 3 13 39 169 359 507 541 1061 1077 1623 3183 4667 7033 13793 14001 21099 41379 60671 91429 179309 182013 194219 274287 380899 537927 574001 582657 1142697 1722003 2524847 4951687 7462013 7574541 14855061 22386039 32823011 64371931 97006169 98469033 193115793 206066359 291018507 618199077 2678862667 8036588001 34825214671 104475644013