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12495000576 = 21037195657
BaseRepresentation
bin10111010001100001…
…01001010000000000
31012020210112210111010
423220300221100000
5201042210004301
65423511120520
7621431516052
oct135060512000
935223483433
1012495000576
115332113963
122508673140
131241889186
148676718d2
154d1e4c5d6
hex2e8c29400

12495000576 has 88 divisors (see below), whose sum is σ = 33355946880. Its totient is φ = 4158472192.

The previous prime is 12495000563. The next prime is 12495000593. The reversal of 12495000576 is 67500059421.

It is a super-2 number, since 2×124950005762 (a number of 21 digits) contains 22 as substring.

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, 2205940 + ... + 2211596.

Almost surely, 212495000576 is an apocalyptic number.

12495000576 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12495000576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16677973440).

12495000576 is an abundant number, since it is smaller than the sum of its proper divisors (20860946304).

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

12495000576 is an equidigital number, since it uses as much as digits as its factorization.

12495000576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6399 (or 6381 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 39.

Adding to 12495000576 its reverse (67500059421), we get a palindrome (79995059997).

The spelling of 12495000576 in words is "twelve billion, four hundred ninety-five million, five hundred seventy-six", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 719 768 1024 1438 1536 2157 2876 3072 4314 5657 5752 8628 11314 11504 16971 17256 22628 23008 33942 34512 45256 46016 67884 69024 90512 92032 135768 138048 181024 184064 271536 276096 362048 368128 543072 552192 724096 736256 1086144 1104384 1448192 2172288 2208768 2896384 4067383 4344576 5792768 8134766 8689152 12202149 16269532 17378304 24404298 32539064 48808596 65078128 97617192 130156256 195234384 260312512 390468768 520625024 780937536 1041250048 1561875072 2082500096 3123750144 4165000192 6247500288 12495000576