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104648448465 = 32511375713811
BaseRepresentation
bin110000101110110001…
…0001001100111010001
3101000010010111222202200
41201131202021213101
53203310000322330
6120024055233413
710363200064251
oct1413542114721
9330103458680
10104648448465
1140421359250
1218346678869
139b39890b72
1450ca56d961
152ac739ca60
hex185d8899d1

104648448465 has 48 divisors (see below), whose sum is σ = 203228865216. Its totient is φ = 49367318400.

The previous prime is 104648448461. The next prime is 104648448497. The reversal of 104648448465 is 564844846401.

104648448465 is a `hidden beast` number, since 1 + 0 + 4 + 64 + 84 + 48 + 465 = 666.

It is not a de Polignac number, because 104648448465 - 22 = 104648448461 is a prime.

It is a super-2 number, since 2×1046484484652 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (104648448461) 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 47 ways as a sum of consecutive naturals, for example, 2838591 + ... + 2875220.

It is an arithmetic number, because the mean of its divisors is an integer number (4233934692).

Almost surely, 2104648448465 is an apocalyptic number.

104648448465 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

104648448465 is a deficient number, since it is larger than the sum of its proper divisors (98580416751).

104648448465 is a wasteful number, since it uses less digits than its factorization.

104648448465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5713870 (or 5713867 counting only the distinct ones).

The product of its (nonzero) digits is 11796480, while the sum is 54.

The spelling of 104648448465 in words is "one hundred four billion, six hundred forty-eight million, four hundred forty-eight thousand, four hundred sixty-five".

Divisors: 1 3 5 9 11 15 33 37 45 55 99 111 165 185 333 407 495 555 1221 1665 2035 3663 6105 18315 5713811 17141433 28569055 51424299 62851921 85707165 188555763 211411007 257121495 314259605 565667289 634233021 942778815 1057055035 1902699063 2325521077 2828336445 3171165105 6976563231 9513495315 11627605385 20929689693 34882816155 104648448465