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11412584712 = 2332336147161
BaseRepresentation
bin10101010000011111…
…00011100100001000
31002110100210101001200
422220033203210020
5141333110202322
65124243144200
7552546240504
oct125017434410
932410711050
1011412584712
1149271198a1
122266075060
1310cb554109
147a39cd304
1546bddb8ac
hex2a83e3908

11412584712 has 48 divisors (see below), whose sum is σ = 30918935580. Its totient is φ = 3802982400.

The previous prime is 11412584699. The next prime is 11412584717. The reversal of 11412584712 is 21748521411.

11412584712 is a `hidden beast` number, since 1 + 1 + 4 + 1 + 2 + 584 + 71 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11369103876 + 43480836 = 106626^2 + 6594^2 .

It is a super-2 number, since 2×114125847122 (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (11412584717) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 218412 + ... + 265572.

Almost surely, 211412584712 is an apocalyptic number.

11412584712 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11412584712 is an abundant number, since it is smaller than the sum of its proper divisors (19506350868).

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

11412584712 is a wasteful number, since it uses less digits than its factorization.

11412584712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50534 (or 50527 counting only the distinct ones).

The product of its digits is 17920, while the sum is 36.

The spelling of 11412584712 in words is "eleven billion, four hundred twelve million, five hundred eighty-four thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 3361 6722 10083 13444 20166 26888 30249 40332 47161 60498 80664 94322 120996 141483 188644 241992 282966 377288 424449 565932 848898 1131864 1697796 3395592 158508121 317016242 475524363 634032484 951048726 1268064968 1426573089 1902097452 2853146178 3804194904 5706292356 11412584712