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5200471640 = 2357139971433
BaseRepresentation
bin1001101011111100…
…01110011001011000
3111102102121022221202
410311332032121120
541122310043030
62220012053332
7242605164620
oct46576163130
914372538852
105200471640
112229592351
121011764248
1364b54c770
14374967880
15206855745
hex135f8e658

5200471640 has 128 divisors (see below), whose sum is σ = 14425810560. Its totient is φ = 1643065344.

The previous prime is 5200471597. The next prime is 5200471663. The reversal of 5200471640 is 461740025.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3628364 + ... + 3629796.

It is an arithmetic number, because the mean of its divisors is an integer number (112701645).

Almost surely, 25200471640 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 5200471640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7212905280).

5200471640 is an abundant number, since it is smaller than the sum of its proper divisors (9225338920).

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

5200471640 is a wasteful number, since it uses less digits than its factorization.

5200471640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2461 (or 2457 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 29.

The square root of 5200471640 is about 72114.2956701374. The cubic root of 5200471640 is about 1732.5305876895.

The spelling of 5200471640 in words is "five billion, two hundred million, four hundred seventy-one thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 52 56 65 70 91 104 130 140 182 260 280 364 455 520 728 910 997 1433 1820 1994 2866 3640 3988 4985 5732 6979 7165 7976 9970 10031 11464 12961 13958 14330 18629 19940 20062 25922 27916 28660 34895 37258 39880 40124 50155 51844 55832 57320 64805 69790 74516 80248 90727 93145 100310 103688 129610 130403 139580 149032 181454 186290 200620 259220 260806 279160 362908 372580 401240 453635 518440 521612 652015 725816 745160 907270 1043224 1304030 1428701 1814540 2608060 2857402 3629080 5216120 5714804 7143505 10000907 11429608 14287010 18573113 20001814 28574020 37146226 40003628 50004535 57148040 74292452 80007256 92865565 100009070 130011791 148584904 185731130 200018140 260023582 371462260 400036280 520047164 650058955 742924520 1040094328 1300117910 2600235820 5200471640