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5204016630 = 2325672413581
BaseRepresentation
bin1001101100010111…
…01111110111110110
3111102200021102202200
410312023233313312
541124212013010
62220220045330
7242650261101
oct46613576766
914380242680
105204016630
11223059379a
121012993846
1364c1c11a7
1437520b738
15206d05cc0
hex1362efdf6

5204016630 has 96 divisors (see below), whose sum is σ = 13793221728. Its totient is φ = 1360972800.

The previous prime is 5204016611. The next prime is 5204016641. The reversal of 5204016630 is 366104025.

5204016630 is a `hidden beast` number, since 5 + 20 + 4 + 0 + 1 + 6 + 630 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 5204016594 and 5204016603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1451440 + ... + 1455020.

It is an arithmetic number, because the mean of its divisors is an integer number (143679393).

Almost surely, 25204016630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5204016630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6896610864).

5204016630 is an abundant number, since it is smaller than the sum of its proper divisors (8589205098).

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

5204016630 is a wasteful number, since it uses less digits than its factorization.

5204016630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3902 (or 3899 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 5204016630 is about 72138.8704513732. The cubic root of 5204016630 is about 1732.9241679265.

The spelling of 5204016630 in words is "five billion, two hundred four million, sixteen thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 67 90 134 201 241 335 402 482 603 670 723 1005 1205 1206 1446 2010 2169 2410 3015 3581 3615 4338 6030 7162 7230 10743 10845 16147 17905 21486 21690 32229 32294 35810 48441 53715 64458 80735 96882 107430 145323 161145 161470 239927 242205 290646 322290 479854 484410 719781 726615 863021 1199635 1439562 1453230 1726042 2159343 2399270 2589063 3598905 4315105 4318686 5178126 7197810 7767189 8630210 10796715 12945315 15534378 21593430 25890630 38835945 57822407 77671890 115644814 173467221 289112035 346934442 520401663 578224070 867336105 1040803326 1734672210 2602008315 5204016630