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104209190145 = 3352932634539
BaseRepresentation
bin110000100001101011…
…0100000110100000001
3100221222111222100122000
41201003112200310001
53201410023041040
6115512324334213
710346254333614
oct1410326406401
9327874870560
10104209190145
1140216409a45
1218243544369
139a998854b8
1450880aa17b
152a9da32130
hex18435a0d01

104209190145 has 32 divisors (see below), whose sum is σ = 185893142400. Its totient is φ = 55388526912.

The previous prime is 104209190101. The next prime is 104209190159. The reversal of 104209190145 is 541091902401.

It is a happy number.

104209190145 is a `hidden beast` number, since 1 + 0 + 420 + 9 + 1 + 90 + 145 = 666.

It is not a de Polignac number, because 104209190145 - 216 = 104209124609 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1277715 + ... + 1356824.

It is an arithmetic number, because the mean of its divisors is an integer number (5809160700).

Almost surely, 2104209190145 is an apocalyptic number.

104209190145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

104209190145 is a deficient number, since it is larger than the sum of its proper divisors (81683952255).

104209190145 is a wasteful number, since it uses less digits than its factorization.

104209190145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2634846 (or 2634840 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 104209190145 in words is "one hundred four billion, two hundred nine million, one hundred ninety thousand, one hundred forty-five".

Divisors: 1 3 5 9 15 27 45 135 293 879 1465 2637 4395 7911 13185 39555 2634539 7903617 13172695 23710851 39518085 71132553 118554255 355662765 771919927 2315759781 3859599635 6947279343 11578798905 20841838029 34736396715 104209190145