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5201825616 = 243313926251
BaseRepresentation
bin1001101100000110…
…11000111101010000
3111102112011010021000
410312003120331100
541123131404431
62220101102000
7242622534231
oct46603307520
914375133230
105201825616
11222a327639
1210120b7900
1364b904b30
14374bdb088
15206a219e6
hex1360d8f50

5201825616 has 80 divisors (see below), whose sum is σ = 16079734720. Its totient is φ = 1600560000.

The previous prime is 5201825611. The next prime is 5201825641. The reversal of 5201825616 is 6165281025.

5201825616 is a `hidden beast` number, since 5 + 2 + 0 + 18 + 25 + 616 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5201825611) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 457510 + ... + 468741.

It is an arithmetic number, because the mean of its divisors is an integer number (200996684).

Almost surely, 25201825616 is an apocalyptic number.

It is an amenable number.

5201825616 is an abundant number, since it is smaller than the sum of its proper divisors (10877909104).

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

5201825616 is a wasteful number, since it uses less digits than its factorization.

5201825616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 926281 (or 926269 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 5201825616 is about 72123.6827678676. The cubic root of 5201825616 is about 1732.6809331098.

The spelling of 5201825616 in words is "five billion, two hundred one million, eight hundred twenty-five thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 104 108 117 144 156 208 216 234 312 351 432 468 624 702 936 1404 1872 2808 5616 926251 1852502 2778753 3705004 5557506 7410008 8336259 11115012 12041263 14820016 16672518 22230024 24082526 25008777 33345036 36123789 44460048 48165052 50017554 66690072 72247578 96330104 100035108 108371367 133380144 144495156 192660208 200070216 216742734 288990312 325114101 400140432 433485468 577980624 650228202 866970936 1300456404 1733941872 2600912808 5201825616