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5130225504 = 25335937761
BaseRepresentation
bin1001100011100100…
…10000011101100000
3111020112102110101000
410301302100131200
541001314204004
62205022312000
7241063124445
oct46162203540
914215373330
105130225504
1121a2973398
12bb2128600
13639b25bc1
143694bd9cc
152005cbc39
hex131c90760

5130225504 has 48 divisors (see below), whose sum is σ = 14963160240. Its totient is φ = 1710074880.

The previous prime is 5130225493. The next prime is 5130225523. The reversal of 5130225504 is 4055220315.

It is a happy number.

5130225504 is a `hidden beast` number, since 5 + 130 + 2 + 25 + 504 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2968017 + ... + 2969744.

It is an arithmetic number, because the mean of its divisors is an integer number (311732505).

Almost surely, 25130225504 is an apocalyptic number.

5130225504 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

5130225504 is an abundant number, since it is smaller than the sum of its proper divisors (9832934736).

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

5130225504 is a wasteful number, since it uses less digits than its factorization.

5130225504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5937780 (or 5937766 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 5130225504 is about 71625.5925211094. The cubic root of 5130225504 is about 1724.6943942544.

Adding to 5130225504 its reverse (4055220315), we get a palindrome (9185445819).

The spelling of 5130225504 in words is "five billion, one hundred thirty million, two hundred twenty-five thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 5937761 11875522 17813283 23751044 35626566 47502088 53439849 71253132 95004176 106879698 142506264 160319547 190008352 213759396 285012528 320639094 427518792 570025056 641278188 855037584 1282556376 1710075168 2565112752 5130225504