Search a number
-
+
5147116560 = 2432561117193
BaseRepresentation
bin1001100101100101…
…01100010000010000
3111021201012121112200
410302302230100100
541020130212220
62210424323200
7241356524505
oct46262542020
914251177480
105147116560
11220145a943
12bb7913500
1364048b201
1436b8394ac
15201d16890
hex132cac410

5147116560 has 120 divisors (see below), whose sum is σ = 17569255704. Its totient is φ = 1350051840.

The previous prime is 5147116547. The next prime is 5147116561. The reversal of 5147116560 is 656117415.

It is a happy number.

5147116560 is a `hidden beast` number, since 5 + 14 + 71 + 16 + 560 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 337971456 + 4809145104 = 18384^2 + 69348^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (5147116561) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14677 + ... + 102516.

Almost surely, 25147116560 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 5147116560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8784627852).

5147116560 is an abundant number, since it is smaller than the sum of its proper divisors (12422139144).

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

5147116560 is a wasteful number, since it uses less digits than its factorization.

5147116560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117273 (or 117264 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 5147116560 is about 71743.4077807850. The cubic root of 5147116560 is about 1726.5851490927.

The spelling of 5147116560 in words is "five billion, one hundred forty-seven million, one hundred sixteen thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 61 72 80 90 120 122 144 180 183 240 244 305 360 366 488 549 610 720 732 915 976 1098 1220 1464 1830 2196 2440 2745 2928 3660 4392 4880 5490 7320 8784 10980 14640 21960 43920 117193 234386 351579 468772 585965 703158 937544 1054737 1171930 1406316 1757895 1875088 2109474 2343860 2812632 3515790 4218948 4687720 5273685 5625264 7031580 7148773 8437896 9375440 10547370 14063160 14297546 16875792 21094740 21446319 28126320 28595092 35743865 42189480 42892638 57190184 64338957 71487730 84378960 85785276 107231595 114380368 128677914 142975460 171570552 214463190 257355828 285950920 321694785 343141104 428926380 514711656 571901840 643389570 857852760 1029423312 1286779140 1715705520 2573558280 5147116560