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5209696224 = 253359102199
BaseRepresentation
bin1001101101000010…
…11010011111100000
3111110001221222201000
410312201122133200
541132140234344
62220541512000
7243046454505
oct46641323740
914401858630
105209696224
112233812977
121014872600
1365042c3b5
14375c894ac
15207578a69
hex13685a7e0

5209696224 has 96 divisors (see below), whose sum is σ = 15452640000. Its totient is φ = 1707115392.

The previous prime is 5209696211. The next prime is 5209696229. The reversal of 5209696224 is 4226969025.

5209696224 is a `hidden beast` number, since 520 + 9 + 69 + 62 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 5209696224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5209696229) 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, 124 + ... + 102075.

It is an arithmetic number, because the mean of its divisors is an integer number (160965000).

Almost surely, 25209696224 is an apocalyptic number.

5209696224 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5209696224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7726320000).

5209696224 is an abundant number, since it is smaller than the sum of its proper divisors (10242943776).

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

5209696224 is a wasteful number, since it uses less digits than its factorization.

5209696224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102277 (or 102263 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 5209696224 is about 72178.2254145944. The cubic root of 5209696224 is about 1733.5543687879.

The spelling of 5209696224 in words is "five billion, two hundred nine million, six hundred ninety-six thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 59 72 96 108 118 144 177 216 236 288 354 432 472 531 708 864 944 1062 1416 1593 1888 2124 2832 3186 4248 5664 6372 8496 12744 16992 25488 50976 102199 204398 306597 408796 613194 817592 919791 1226388 1635184 1839582 2452776 2759373 3270368 3679164 4905552 5518746 6029741 7358328 9811104 11037492 12059482 14716656 18089223 22074984 24118964 29433312 36178446 44149968 48237928 54267669 72356892 88299936 96475856 108535338 144713784 162803007 192951712 217070676 289427568 325606014 434141352 578855136 651212028 868282704 1302424056 1736565408 2604848112 5209696224