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5157043560 = 2332569120731
BaseRepresentation
bin1001100110110001…
…00011110101101000
3111022101212221211100
410303120203311220
541030200343220
62211421201400
7241540101264
oct46330436550
914271787740
105157043560
112207020179
12bbb100260
13642555786
1436cca10a4
15202b27d90
hex133623d68

5157043560 has 96 divisors (see below), whose sum is σ = 16785456480. Its totient is φ = 1373155200.

The previous prime is 5157043553. The next prime is 5157043603. The reversal of 5157043560 is 653407515.

5157043560 is a `hidden beast` number, since 5 + 1 + 57 + 0 + 43 + 560 = 666.

It is a super-4 number, since 4×51570435604 (a number of 40 digits) contains 4444 as substring.

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

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, 238395 + ... + 259125.

It is an arithmetic number, because the mean of its divisors is an integer number (174848505).

Almost surely, 25157043560 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 5157043560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8392728240).

5157043560 is an abundant number, since it is smaller than the sum of its proper divisors (11628412920).

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

5157043560 is a wasteful number, since it uses less digits than its factorization.

5157043560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21439 (or 21432 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 36.

The square root of 5157043560 is about 71812.5585117255. The cubic root of 5157043560 is about 1727.6944306003.

The spelling of 5157043560 in words is "five billion, one hundred fifty-seven million, forty-three thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 691 1382 2073 2764 3455 4146 5528 6219 6910 8292 10365 12438 13820 16584 20730 20731 24876 27640 31095 41460 41462 49752 62190 62193 82920 82924 103655 124380 124386 165848 186579 207310 248760 248772 310965 373158 414620 497544 621930 746316 829240 932895 1243860 1492632 1865790 2487720 3731580 7463160 14325121 28650242 42975363 57300484 71625605 85950726 114600968 128926089 143251210 171901452 214876815 257852178 286502420 343802904 429753630 515704356 573004840 644630445 859507260 1031408712 1289260890 1719014520 2578521780 5157043560