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5144479760 = 245731674423
BaseRepresentation
bin1001100101010001…
…01000100000010000
3111021112020122112102
410302220220200100
541013441323020
62210252015532
7241325233160
oct46250504020
914245218472
105144479760
1121aaa19872
12bb6a615a8
1363ca76c84
1436b3505a0
15201995475
hex132a28810

5144479760 has 160 divisors (see below), whose sum is σ = 14324416512. Its totient is φ = 1681067520.

The previous prime is 5144479751. The next prime is 5144479787. The reversal of 5144479760 is 679744415.

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, 1160909 + ... + 1165331.

Almost surely, 25144479760 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 5144479760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7162208256).

5144479760 is an abundant number, since it is smaller than the sum of its proper divisors (9179936752).

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

5144479760 is a wasteful number, since it uses less digits than its factorization.

5144479760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4541 (or 4535 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 47.

The square root of 5144479760 is about 71725.0288253689. The cubic root of 5144479760 is about 1726.2902631236.

The spelling of 5144479760 in words is "five billion, one hundred forty-four million, four hundred seventy-nine thousand, seven hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 31 35 40 56 62 67 70 80 112 124 134 140 155 217 248 268 280 310 335 434 469 496 536 560 620 670 868 938 1072 1085 1240 1340 1736 1876 2077 2170 2345 2480 2680 3472 3752 4154 4340 4423 4690 5360 7504 8308 8680 8846 9380 10385 14539 16616 17360 17692 18760 20770 22115 29078 30961 33232 35384 37520 41540 44230 58156 61922 70768 72695 83080 88460 116312 123844 137113 145390 154805 166160 176920 232624 247688 274226 290780 296341 309610 353840 495376 548452 581560 592682 619220 685565 959791 1096904 1163120 1185364 1238440 1371130 1481705 1919582 2074387 2193808 2370728 2476880 2742260 2963410 3839164 4148774 4741456 4798955 5484520 5926820 7678328 8297548 9186571 9597910 10371935 10969040 11853640 15356656 16595096 18373142 19195820 20743870 23707280 33190192 36746284 38391640 41487740 45932855 64305997 73492568 76783280 82975480 91865710 128611994 146985136 165950960 183731420 257223988 321529985 367462840 514447976 643059970 734925680 1028895952 1286119940 2572239880 5144479760