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5365124440 = 23513231732593
BaseRepresentation
bin1001111111100100…
…10100110101011000
3111211220102120010121
410333302110311120
541441432440230
62244213123024
7246644543134
oct47762246530
914756376117
105365124440
112303522445
121058929474
136766abc60
1438c7883c4
1521602b77a
hex13fc94d58

5365124440 has 128 divisors (see below), whose sum is σ = 13649005440. Its totient is φ = 1883160576.

The previous prime is 5365124437. The next prime is 5365124441. The reversal of 5365124440 is 444215635.

It is a junction number, because it is equal to n+sod(n) for n = 5365124396 and 5365124405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5365124441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2067784 + ... + 2070376.

It is an arithmetic number, because the mean of its divisors is an integer number (106632855).

Almost surely, 25365124440 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 5365124440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6824502720).

5365124440 is an abundant number, since it is smaller than the sum of its proper divisors (8283881000).

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

5365124440 is a wasteful number, since it uses less digits than its factorization.

5365124440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2813 (or 2809 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 34.

The square root of 5365124440 is about 73247.0097683175. The cubic root of 5365124440 is about 1750.6255657425.

The spelling of 5365124440 in words is "five billion, three hundred sixty-five million, one hundred twenty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 20 23 26 40 46 52 65 92 104 115 130 173 184 230 260 299 346 460 520 598 692 865 920 1196 1384 1495 1730 2249 2392 2593 2990 3460 3979 4498 5186 5980 6920 7958 8996 10372 11245 11960 12965 15916 17992 19895 20744 22490 25930 31832 33709 39790 44980 51727 51860 59639 67418 79580 89960 103454 103720 119278 134836 159160 168545 206908 238556 258635 269672 298195 337090 413816 448589 477112 517270 596390 674180 775307 897178 1034540 1192780 1348360 1550614 1794356 2069080 2242945 2385560 3101228 3588712 3876535 4485890 5831657 6202456 7753070 8971780 10317547 11663314 15506140 17943560 20635094 23326628 29158285 31012280 41270188 46653256 51587735 58316570 82540376 103175470 116633140 134128111 206350940 233266280 268256222 412701880 536512444 670640555 1073024888 1341281110 2682562220 5365124440