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104416760449 = 1919727896543
BaseRepresentation
bin110000100111110111…
…0010101001010000001
3100222111222120000120001
41201033232111022001
53202321142313244
6115545101320001
710354354551061
oct1411756251201
9328458500501
10104416760449
11403125a2651
12182a0b66001
139b00890471
1450a789d3a1
152ab1d845d4
hex184fb95281

104416760449 has 8 divisors (see below), whose sum is σ = 110470314240. Its totient is φ = 98419000176.

The previous prime is 104416760389. The next prime is 104416760453. The reversal of 104416760449 is 944067614401.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-104416760449 is a prime.

It is a super-4 number, since 4×1044167604494 (a number of 45 digits) contains 4444 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 104416760399 and 104416760408.

It is not an unprimeable number, because it can be changed into a prime (104416760849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13944529 + ... + 13952014.

It is an arithmetic number, because the mean of its divisors is an integer number (13808789280).

Almost surely, 2104416760449 is an apocalyptic number.

104416760449 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

104416760449 is a deficient number, since it is larger than the sum of its proper divisors (6053553791).

104416760449 is a wasteful number, since it uses less digits than its factorization.

104416760449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27896759.

The product of its (nonzero) digits is 580608, while the sum is 46.

The spelling of 104416760449 in words is "one hundred four billion, four hundred sixteen million, seven hundred sixty thousand, four hundred forty-nine".

Divisors: 1 19 197 3743 27896543 530034317 5495618971 104416760449