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5146824704 = 2127732459
BaseRepresentation
bin1001100101100011…
…00101000000000000
3111021200122210012012
410302301211000000
541020041342304
62210414152052
7241354200560
oct46261450000
914250583165
105146824704
11220128063a
12bb77b2628
136403b8408
1436b7a0da0
15201caa16e
hex132c65000

5146824704 has 104 divisors (see below), whose sum is σ = 11928717120. Its totient is φ = 2174681088.

The previous prime is 5146824691. The next prime is 5146824707. The reversal of 5146824704 is 4074286415.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5146824707) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2091827 + ... + 2094285.

Almost surely, 25146824704 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 5146824704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5964358560).

5146824704 is an abundant number, since it is smaller than the sum of its proper divisors (6781892416).

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

5146824704 is an equidigital number, since it uses as much as digits as its factorization.

5146824704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2563 (or 2541 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 41.

The square root of 5146824704 is about 71741.3737253476. The cubic root of 5146824704 is about 1726.5525143962.

The spelling of 5146824704 in words is "five billion, one hundred forty-six million, eight hundred twenty-four thousand, seven hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 73 112 128 146 224 256 292 448 511 512 584 896 1022 1024 1168 1792 2044 2048 2336 2459 3584 4088 4096 4672 4918 7168 8176 9344 9836 14336 16352 17213 18688 19672 28672 32704 34426 37376 39344 65408 68852 74752 78688 130816 137704 149504 157376 179507 261632 275408 299008 314752 359014 523264 550816 629504 718028 1046528 1101632 1256549 1259008 1436056 2093056 2203264 2513098 2518016 2872112 4406528 5026196 5036032 5744224 8813056 10052392 10072064 11488448 17626112 20104784 22976896 35252224 40209568 45953792 70504448 80419136 91907584 160838272 183815168 321676544 367630336 643353088 735260672 1286706176 2573412352 5146824704