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5146936480 = 255721394723
BaseRepresentation
bin1001100101100100…
…00000010010100000
3111021200212110112001
410302302000102200
541020103431410
62210420413344
7241355144500
oct46262002240
914250773461
105146936480
112201347614
12bb7847254
1364042725a
1436b7cda00
15201ccd33a
hex132c804a0

5146936480 has 144 divisors (see below), whose sum is σ = 14249662560. Its totient is φ = 1751597568.

The previous prime is 5146936463. The next prime is 5146936499. The reversal of 5146936480 is 846396415.

It is a self number, because there is not a number n which added to its sum of digits gives 5146936480.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1087399 + ... + 1092121.

It is an arithmetic number, because the mean of its divisors is an integer number (98955990).

Almost surely, 25146936480 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 5146936480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7124831280).

5146936480 is an abundant number, since it is smaller than the sum of its proper divisors (9102726080).

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

5146936480 is a wasteful number, since it uses less digits than its factorization.

5146936480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4891 (or 4876 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 46.

The square root of 5146936480 is about 71742.1527416065. The cubic root of 5146936480 is about 1726.5650130886.

The spelling of 5146936480 in words is "five billion, one hundred forty-six million, nine hundred thirty-six thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 70 80 98 112 139 140 160 196 224 245 278 280 392 490 556 560 695 784 973 980 1112 1120 1390 1568 1946 1960 2224 2780 3892 3920 4448 4723 4865 5560 6811 7784 7840 9446 9730 11120 13622 15568 18892 19460 22240 23615 27244 31136 33061 34055 37784 38920 47230 54488 66122 68110 75568 77840 94460 108976 132244 136220 151136 155680 165305 188920 217952 231427 264488 272440 330610 377840 462854 528976 544880 656497 661220 755680 925708 1057952 1089760 1157135 1312994 1322440 1851416 2314270 2625988 2644880 3282485 3702832 4595479 4628540 5251976 5289760 6564970 7405664 9190958 9257080 10503952 13129940 18381916 18514160 21007904 22977395 26259880 32168353 36763832 37028320 45954790 52519760 64336706 73527664 91909580 105039520 128673412 147055328 160841765 183819160 257346824 321683530 367638320 514693648 643367060 735276640 1029387296 1286734120 2573468240 5146936480