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5132435104 = 254119320269
BaseRepresentation
bin1001100011110101…
…01011111010100000
3111020200120201101001
410301322223322200
541002400410404
62205141521344
7241120656436
oct46172537240
914220521331
105132435104
1121a4142505
12bb2a13254
1363a41a864
143698d6d56
152008b67a4
hex131eabea0

5132435104 has 48 divisors (see below), whose sum is σ = 10405077480. Its totient is φ = 2490531840.

The previous prime is 5132435093. The next prime is 5132435123. The reversal of 5132435104 is 4015342315.

It can be written as a sum of positive squares in 4 ways, for example, as 3174195600 + 1958239504 = 56340^2 + 44252^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 243082 + ... + 263350.

Almost surely, 25132435104 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 5132435104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5202538740).

5132435104 is an abundant number, since it is smaller than the sum of its proper divisors (5272642376).

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

5132435104 is a wasteful number, since it uses less digits than its factorization.

5132435104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20513 (or 20505 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The square root of 5132435104 is about 71641.0155148571. The cubic root of 5132435104 is about 1724.9419686702.

Adding to 5132435104 its reverse (4015342315), we get a palindrome (9147777419).

The spelling of 5132435104 in words is "five billion, one hundred thirty-two million, four hundred thirty-five thousand, one hundred four".

Divisors: 1 2 4 8 16 32 41 82 164 193 328 386 656 772 1312 1544 3088 6176 7913 15826 20269 31652 40538 63304 81076 126608 162152 253216 324304 648608 831029 1662058 3324116 3911917 6648232 7823834 13296464 15647668 26592928 31295336 62590672 125181344 160388597 320777194 641554388 1283108776 2566217552 5132435104