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7399131136 = 211174612
BaseRepresentation
bin1101110010000010…
…11100100000000000
3201002122202210202221
412321001130200000
5110123134144021
63222113020424
7351233401615
oct67101344000
921078683687
107399131136
113157686811
121525b54714
1390bc01c07
1450297650c
152d48aa241
hex1b905c800

7399131136 has 72 divisors (see below), whose sum is σ = 15698976930. Its totient is φ = 3474391040.

The previous prime is 7399131121. The next prime is 7399131139. The reversal of 7399131136 is 6311319937.

It can be written as a sum of positive squares in 3 ways, for example, as 6121497600 + 1277633536 = 78240^2 + 35744^2 .

It is a junction number, because it is equal to n+sod(n) for n = 7399131092 and 7399131101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7399131139) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 16049946 + ... + 16050406.

Almost surely, 27399131136 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 7399131136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7849488465).

7399131136 is an abundant number, since it is smaller than the sum of its proper divisors (8299845794).

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

7399131136 is an frugal number, since it uses more digits than its factorization.

7399131136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 961 (or 480 counting only the distinct ones).

The product of its digits is 91854, while the sum is 43.

The square root of 7399131136 is about 86018.2023527579. The cubic root of 7399131136 is about 1948.6188893232.

The spelling of 7399131136 in words is "seven billion, three hundred ninety-nine million, one hundred thirty-one thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 461 512 544 922 1024 1088 1844 2048 2176 3688 4352 7376 7837 8704 14752 15674 17408 29504 31348 34816 59008 62696 118016 125392 212521 236032 250784 425042 472064 501568 850084 944128 1003136 1700168 2006272 3400336 3612857 4012544 6800672 7225714 8025088 13601344 14451428 16050176 27202688 28902856 54405376 57805712 108810752 115611424 217621504 231222848 435243008 462445696 924891392 1849782784 3699565568 7399131136