Search a number
-
+
11455351344 = 243326517017
BaseRepresentation
bin10101010101100101…
…01100101000110000
31002120100021010212000
422222302230220300
5141430032220334
65132411534000
7553605610533
oct125262545060
932510233760
1011455351344
11494927a018
12227845a300
131107379008
147a9562a1a
15470a38299
hex2aacaca30

11455351344 has 40 divisors (see below), whose sum is σ = 32881102320. Its totient is φ = 3818450304.

The previous prime is 11455351339. The next prime is 11455351363. The reversal of 11455351344 is 44315355411.

11455351344 is a `hidden beast` number, since 1 + 14 + 553 + 51 + 3 + 44 = 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 = 11455351299 and 11455351308.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13258077 + ... + 13258940.

It is an arithmetic number, because the mean of its divisors is an integer number (822027558).

Almost surely, 211455351344 is an apocalyptic number.

It is an amenable number.

11455351344 is an abundant number, since it is smaller than the sum of its proper divisors (21425750976).

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

11455351344 is a wasteful number, since it uses less digits than its factorization.

11455351344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26517034 (or 26517022 counting only the distinct ones).

The product of its digits is 72000, while the sum is 36.

The spelling of 11455351344 in words is "eleven billion, four hundred fifty-five million, three hundred fifty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 26517017 53034034 79551051 106068068 159102102 212136136 238653153 318204204 424272272 477306306 636408408 715959459 954612612 1272816816 1431918918 1909225224 2863837836 3818450448 5727675672 11455351344