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5207948096 = 261317438563
BaseRepresentation
bin1001101100110101…
…01111101101000000
3111102221200011201112
410312122233231000
541131213314341
62220440222452
7243025554101
oct46632575500
914387604645
105207948096
11223282953a
12101416aa28
1364cc697c0
143759523a8
15207330aeb
hex1366afb40

5207948096 has 112 divisors (see below), whose sum is σ = 12059619264. Its totient is φ = 2209406976.

The previous prime is 5207948087. The next prime is 5207948101. The reversal of 5207948096 is 6908497025.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 603911 + ... + 612473.

It is an arithmetic number, because the mean of its divisors is an integer number (107675172).

Almost surely, 25207948096 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 5207948096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6029809632).

5207948096 is an abundant number, since it is smaller than the sum of its proper divisors (6851671168).

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

5207948096 is a wasteful number, since it uses less digits than its factorization.

5207948096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8648 (or 8638 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 50.

The square root of 5207948096 is about 72166.1145968106. The cubic root of 5207948096 is about 1733.3604474391.

The spelling of 5207948096 in words is "five billion, two hundred seven million, nine hundred forty-eight thousand, ninety-six".

Divisors: 1 2 4 8 13 16 17 26 32 34 43 52 64 68 86 104 136 172 208 221 272 344 416 442 544 559 688 731 832 884 1088 1118 1376 1462 1768 2236 2752 2924 3536 4472 5848 7072 8563 8944 9503 11696 14144 17126 17888 19006 23392 34252 35776 38012 46784 68504 76024 111319 137008 145571 152048 222638 274016 291142 304096 368209 445276 548032 582284 608192 736418 890552 1164568 1472836 1781104 1892423 2329136 2945672 3562208 3784846 4658272 4786717 5891344 6259553 7124416 7569692 9316544 9573434 11782688 12519106 15139384 19146868 23565376 25038212 30278768 38293736 50076424 60557536 76587472 81374189 100152848 121115072 153174944 162748378 200305696 306349888 325496756 400611392 650993512 1301987024 2603974048 5207948096