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1365157470105 = 3251113212145683
BaseRepresentation
bin10011110111011001101…
…110011101111110011001
311211111201011121212220200
4103313121232131332121
5134331320303020410
62523051130212413
7200425606015152
oct23673156357631
94744634555820
101365157470105
11486a61890940
121a06b0584109
139b9701c9290
144a106db0929
152579e3373c0
hex13dd9b9df99

1365157470105 has 48 divisors (see below), whose sum is σ = 2779957043136. Its totient is φ = 610979564160.

The previous prime is 1365157470091. The next prime is 1365157470107. The reversal of 1365157470105 is 5010747515631.

1365157470105 is a `hidden beast` number, since 1 + 3 + 6 + 5 + 1 + 574 + 70 + 1 + 0 + 5 = 666.

It is not a de Polignac number, because 1365157470105 - 25 = 1365157470073 is a prime.

It is a super-2 number, since 2×13651574701052 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1365157470107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 106066407 + ... + 106079276.

It is an arithmetic number, because the mean of its divisors is an integer number (57915771732).

Almost surely, 21365157470105 is an apocalyptic number.

1365157470105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1365157470105 is an abundant number, since it is smaller than the sum of its proper divisors (1414799573031).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1365157470105 is a wasteful number, since it uses less digits than its factorization.

1365157470105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212145718 (or 212145715 counting only the distinct ones).

The product of its (nonzero) digits is 441000, while the sum is 45.

The spelling of 1365157470105 in words is "one trillion, three hundred sixty-five billion, one hundred fifty-seven million, four hundred seventy thousand, one hundred five".

Divisors: 1 3 5 9 11 13 15 33 39 45 55 65 99 117 143 165 195 429 495 585 715 1287 2145 6435 212145683 636437049 1060728415 1909311147 2333602513 2757893879 3182185245 7000807539 8273681637 9546555735 11668012565 13789469395 21002422617 24821044911 30336832669 35004037695 41368408185 91010498007 105012113085 124105224555 151684163345 273031494021 455052490035 1365157470105