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104426410208607 = 3417312446328161
BaseRepresentation
bin10111101111100110101011…
…000101011110110101011111
3111200202001211002001012120000
4113233212223011132311133
5102141410242003133412
61010032455223225343
730665362536132204
oct2757465305366537
9450661732035500
10104426410208607
1130300aa0198823
12b8666555a8253
1346364a2cca486
141bb039daa9cab
15c11585a554dc
hex5ef9ab15ed5f

104426410208607 has 40 divisors (see below), whose sum is σ = 170499287578752. Its totient is φ = 63408825907200.

The previous prime is 104426410208567. The next prime is 104426410208647. The reversal of 104426410208607 is 706802014624401.

104426410208607 is a `hidden beast` number, since 1 + 0 + 4 + 4 + 2 + 6 + 4 + 10 + 20 + 8 + 607 = 666.

It is an interprime number because it is at equal distance from previous prime (104426410208567) and next prime (104426410208647).

It is not a de Polignac number, because 104426410208607 - 27 = 104426410208479 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104426410208647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1223121394 + ... + 1223206767.

Almost surely, 2104426410208607 is an apocalyptic number.

104426410208607 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

104426410208607 is a deficient number, since it is larger than the sum of its proper divisors (66072877370145).

104426410208607 is a wasteful number, since it uses less digits than its factorization.

104426410208607 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2446328221 (or 2446328212 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 104426410208607 in words is "one hundred four trillion, four hundred twenty-six billion, four hundred ten million, two hundred eight thousand, six hundred seven".

Divisors: 1 3 9 17 27 31 51 81 93 153 279 459 527 837 1377 1581 2511 4743 14229 42687 2446328161 7338984483 22016953449 41587578737 66050860347 75836172991 124762736211 198152581041 227508518973 374288208633 682525556919 1122864625899 1289214940847 2047576670757 3368593877697 3867644822541 6142730012271 11602934467623 34808803402869 104426410208607