Search a number
-
+
11034458955 = 3351323273367
BaseRepresentation
bin10100100011011010…
…00111101101001011
31001111000021121001000
422101231013231023
5140044310141310
65022534430043
7540305232162
oct122155075513
931430247030
1011034458955
114752734373
12217b502323
13106b101070
147696c03d9
15448ae94c0
hex291b47b4b

11034458955 has 64 divisors (see below), whose sum is σ = 22044395520. Its totient is φ = 5196140928.

The previous prime is 11034458951. The next prime is 11034458971. The reversal of 11034458955 is 55985443011.

It is a happy number.

11034458955 is a `hidden beast` number, since 1 + 10 + 3 + 4 + 4 + 589 + 55 = 666.

It is not a de Polignac number, because 11034458955 - 22 = 11034458951 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 11034458955.

It is not an unprimeable number, because it can be changed into a prime (11034458951) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 96319 + ... + 177048.

It is an arithmetic number, because the mean of its divisors is an integer number (344443680).

Almost surely, 211034458955 is an apocalyptic number.

11034458955 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

11034458955 is a deficient number, since it is larger than the sum of its proper divisors (11009936565).

11034458955 is a wasteful number, since it uses less digits than its factorization.

11034458955 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273417 (or 273411 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The spelling of 11034458955 in words is "eleven billion, thirty-four million, four hundred fifty-eight thousand, nine hundred fifty-five".

Divisors: 1 3 5 9 13 15 23 27 39 45 65 69 115 117 135 195 207 299 345 351 585 621 897 1035 1495 1755 2691 3105 4485 8073 13455 40365 273367 820101 1366835 2460303 3553771 4100505 6287441 7380909 10661313 12301515 17768855 18862323 31437205 31983939 36904545 53306565 56586969 81736733 94311615 95951817 159919695 169760907 245210199 282934845 408683665 479759085 735630597 848804535 1226050995 2206891791 3678152985 11034458955