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11463363074601 = 346731033203569
BaseRepresentation
bin1010011011010000010110…
…1011110001101000101001
31111120212221111000202010000
42212310011223301220221
53000303431421341401
640214110222213213
72262125552265264
oct246640553615051
944525844022100
1011463363074601
11371a648674069
121351815124209
13651cb5187139
142b8b88b05cdb
1514d2c5bb7186
hexa6d05af1a29

11463363074601 has 40 divisors (see below), whose sum is σ = 17166414004520. Its totient is φ = 7623462002688.

The previous prime is 11463363074599. The next prime is 11463363074687. The reversal of 11463363074601 is 10647036336411.

It is a happy number.

11463363074601 is a `hidden beast` number, since 1 + 1 + 4 + 6 + 3 + 3 + 6 + 30 + 7 + 4 + 601 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 810000000000 + 10653363074601 = 900000^2 + 3263949^2 .

It is not a de Polignac number, because 11463363074601 - 21 = 11463363074599 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11463363075601) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 56210145 + ... + 56413713.

It is an arithmetic number, because the mean of its divisors is an integer number (429160350113).

Almost surely, 211463363074601 is an apocalyptic number.

It is an amenable number.

11463363074601 is a deficient number, since it is larger than the sum of its proper divisors (5703050929919).

11463363074601 is a wasteful number, since it uses less digits than its factorization.

11463363074601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205287 (or 205278 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

It can be divided in two parts, 114633630 and 74601, that added together give a triangular number (114708231 = T15146).

The spelling of 11463363074601 in words is "eleven trillion, four hundred sixty-three billion, three hundred sixty-three million, seventy-four thousand, six hundred one".

Divisors: 1 3 9 27 81 673 1033 2019 3099 6057 9297 18171 27891 54513 83673 203569 610707 695209 1832121 2085627 5496363 6256881 16489089 18770643 56311929 137001937 210286777 411005811 630860331 1233017433 1892580993 3699052299 5677742979 11097156897 17033228937 141523000921 424569002763 1273707008289 3821121024867 11463363074601