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12479475136 = 26434799467
BaseRepresentation
bin10111001111101010…
…11010110111000000
31012012201100000120211
423213311122313000
5201024221201021
65422154243504
7621152534302
oct134765326700
935181300524
1012479475136
11532437a417
122503426594
13123b5b161b
1486558d972
154d08d23e1
hex2e7d5adc0

12479475136 has 56 divisors (see below), whose sum is σ = 25395448320. Its totient is φ = 6081261312.

The previous prime is 12479475131. The next prime is 12479475137. The reversal of 12479475136 is 63157497421.

It is a super-3 number, since 3×124794751363 (a number of 31 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12479475136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12479475131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1313475 + ... + 1322941.

Almost surely, 212479475136 is an apocalyptic number.

12479475136 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 12479475136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12697724160).

12479475136 is an abundant number, since it is smaller than the sum of its proper divisors (12915973184).

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

12479475136 is an equidigital number, since it uses as much as digits as its factorization.

12479475136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10001 (or 9991 counting only the distinct ones).

The product of its digits is 1270080, while the sum is 49.

The spelling of 12479475136 in words is "twelve billion, four hundred seventy-nine million, four hundred seventy-five thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 32 43 64 86 172 344 479 688 958 1376 1916 2752 3832 7664 9467 15328 18934 20597 30656 37868 41194 75736 82388 151472 164776 302944 329552 407081 605888 659104 814162 1318208 1628324 3256648 4534693 6513296 9069386 13026592 18138772 26053184 36277544 72555088 145110176 194991799 290220352 389983598 779967196 1559934392 3119868784 6239737568 12479475136