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104406148759 = 11195216191549
BaseRepresentation
bin110000100111100010…
…1110110011010010111
3100222111020120220001111
41201033011312122113
53202310433230014
6115544042035451
710354165423153
oct1411705663227
9328436526044
10104406148759
1140307604960
12182994a8b87
139acb616363
1450a62da063
152ab0e8a2c4
hex184f176697

104406148759 has 32 divisors (see below), whose sum is σ = 120394080000. Its totient is φ = 89543750400.

The previous prime is 104406148751. The next prime is 104406148789. The reversal of 104406148759 is 957841604401.

It is a cyclic number.

It is not a de Polignac number, because 104406148759 - 23 = 104406148751 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104406148751) 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, 67401517 + ... + 67403065.

It is an arithmetic number, because the mean of its divisors is an integer number (3762315000).

Almost surely, 2104406148759 is an apocalyptic number.

104406148759 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

104406148759 is a deficient number, since it is larger than the sum of its proper divisors (15987931241).

104406148759 is a wasteful number, since it uses less digits than its factorization.

104406148759 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2719.

The product of its (nonzero) digits is 967680, while the sum is 49.

The spelling of 104406148759 in words is "one hundred four billion, four hundred six million, one hundred forty-eight thousand, seven hundred fifty-nine".

Divisors: 1 11 19 209 521 619 1549 5731 6809 9899 11761 17039 29431 108889 129371 322499 323741 807029 958831 3547489 6127481 8877319 10547141 15333551 18217789 67402291 168669061 200395679 499550951 5495060461 9491468069 104406148759