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12495427584 = 211317119633
BaseRepresentation
bin10111010001100100…
…10001100000000000
31012020211100111020020
423220302101200000
5201042312140314
65423524213440
7621435245013
oct135062214000
935224314206
1012495427584
115332385762
12250883a280
1312419a8643
1486774337a
154d1ed3da9
hex2e8c91800

12495427584 has 96 divisors (see below), whose sum is σ = 35272888560. Its totient is φ = 3920101376.

The previous prime is 12495427561. The next prime is 12495427591. The reversal of 12495427584 is 48572459421.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×124954275842 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44632 + ... + 164264.

Almost surely, 212495427584 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12495427584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17636444280).

12495427584 is an abundant number, since it is smaller than the sum of its proper divisors (22777460976).

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

12495427584 is a wasteful number, since it uses less digits than its factorization.

12495427584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119675 (or 119655 counting only the distinct ones).

The product of its digits is 3225600, while the sum is 51.

The spelling of 12495427584 in words is "twelve billion, four hundred ninety-five million, four hundred twenty-seven thousand, five hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 272 384 408 512 544 768 816 1024 1088 1536 1632 2048 2176 3072 3264 4352 6144 6528 8704 13056 17408 26112 34816 52224 104448 119633 239266 358899 478532 717798 957064 1435596 1914128 2033761 2871192 3828256 4067522 5742384 6101283 7656512 8135044 11484768 12202566 15313024 16270088 22969536 24405132 30626048 32540176 45939072 48810264 61252096 65080352 91878144 97620528 122504192 130160704 183756288 195241056 245008384 260321408 367512576 390482112 520642816 735025152 780964224 1041285632 1561928448 2082571264 3123856896 4165142528 6247713792 12495427584