Search a number
-
+
11484066912 = 253611961077
BaseRepresentation
bin10101011001000000…
…01111010001100000
31002122100022001012120
422230200033101200
5142004410120122
65135315224240
7554404646433
oct125440172140
932570261176
1011484066912
11496350249a
122285ba8080
1311102c1486
147ad2b981a
1547330b75c
hex2ac80f460

11484066912 has 48 divisors (see below), whose sum is σ = 30639882672. Its totient is φ = 3765265920.

The previous prime is 11484066907. The next prime is 11484066917. The reversal of 11484066912 is 21966048411.

It is an interprime number because it is at equal distance from previous prime (11484066907) and next prime (11484066917).

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11484066917) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 974683 + ... + 986394.

It is an arithmetic number, because the mean of its divisors is an integer number (638330889).

Almost surely, 211484066912 is an apocalyptic number.

11484066912 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11484066912 is an abundant number, since it is smaller than the sum of its proper divisors (19155815760).

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

11484066912 is a wasteful number, since it uses less digits than its factorization.

11484066912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1961151 (or 1961143 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The spelling of 11484066912 in words is "eleven billion, four hundred eighty-four million, sixty-six thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 96 122 183 244 366 488 732 976 1464 1952 2928 5856 1961077 3922154 5883231 7844308 11766462 15688616 23532924 31377232 47065848 62754464 94131696 119625697 188263392 239251394 358877091 478502788 717754182 957005576 1435508364 1914011152 2871016728 3828022304 5742033456 11484066912