Search a number
-
+
11104864344 = 233377344487
BaseRepresentation
bin10100101011110011…
…01100100001011000
31001122220202120002000
422111321230201120
5140220321124334
65033531441000
7542121534540
oct122571544130
931586676060
1011104864344
114789451a42
12219abb6160
13107c882262
14774baa320
1544eda5299
hex295e6c858

11104864344 has 64 divisors (see below), whose sum is σ = 35253542400. Its totient is φ = 3172817952.

The previous prime is 11104864327. The next prime is 11104864349. The reversal of 11104864344 is 44346840111.

It is a happy number.

11104864344 is a `hidden beast` number, since 1 + 1 + 1 + 0 + 4 + 8 + 643 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11104864299 and 11104864308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11104864349) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3670732 + ... + 3673755.

It is an arithmetic number, because the mean of its divisors is an integer number (550836600).

Almost surely, 211104864344 is an apocalyptic number.

11104864344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

11104864344 is an abundant number, since it is smaller than the sum of its proper divisors (24148678056).

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

11104864344 is a wasteful number, since it uses less digits than its factorization.

11104864344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7344509 (or 7344499 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 11104864344 in words is "eleven billion, one hundred four million, eight hundred sixty-four thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 756 1512 7344487 14688974 22033461 29377948 44066922 51411409 58755896 66100383 88133844 102822818 132200766 154234227 176267688 198301149 205645636 264401532 308468454 396602298 411291272 462702681 528803064 616936908 793204596 925405362 1233873816 1388108043 1586409192 1850810724 2776216086 3701621448 5552432172 11104864344