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5001165072 = 243329617647
BaseRepresentation
bin1001010100001011…
…11011100100010000
3110220112120111202000
410222011323210100
540220244240242
62144132154000
7234635126121
oct45205734420
913815514660
105001165072
112137033382
12b76a68900
13619178c97
143562c6048
151e40d6a4c
hex12a17b910

5001165072 has 160 divisors (see below), whose sum is σ = 14897260800. Its totient is φ = 1604477952.

The previous prime is 5001165067. The next prime is 5001165079. The reversal of 5001165072 is 2705611005.

5001165072 is a `hidden beast` number, since 5 + 0 + 0 + 1 + 1 + 650 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (5001165079) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7729453 + ... + 7730099.

It is an arithmetic number, because the mean of its divisors is an integer number (93107880).

Almost surely, 25001165072 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 5001165072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7448630400).

5001165072 is an abundant number, since it is smaller than the sum of its proper divisors (9896095728).

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

5001165072 is a wasteful number, since it uses less digits than its factorization.

5001165072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1310 (or 1298 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The square root of 5001165072 is about 70718.9159419175. The cubic root of 5001165072 is about 1710.1087527017.

Adding to 5001165072 its reverse (2705611005), we get a palindrome (7706776077).

The spelling of 5001165072 in words is "five billion, one million, one hundred sixty-five thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 36 48 54 58 72 87 108 116 144 174 216 232 261 348 432 464 522 617 647 696 783 1044 1234 1294 1392 1566 1851 1941 2088 2468 2588 3132 3702 3882 4176 4936 5176 5553 5823 6264 7404 7764 9872 10352 11106 11646 12528 14808 15528 16659 17469 17893 18763 22212 23292 29616 31056 33318 34938 35786 37526 44424 46584 53679 56289 66636 69876 71572 75052 88848 93168 107358 112578 133272 139752 143144 150104 161037 168867 214716 225156 266544 279504 286288 300208 322074 337734 399199 429432 450312 483111 506601 644148 675468 798398 858864 900624 966222 1013202 1197597 1288296 1350936 1596796 1932444 2026404 2395194 2576592 2701872 3193592 3592791 3864888 4052808 4790388 6387184 7185582 7729776 8105616 9580776 10778373 11576771 14371164 19161552 21556746 23153542 28742328 34730313 43113492 46307084 57484656 69460626 86226984 92614168 104190939 138921252 172453968 185228336 208381878 277842504 312572817 416763756 555685008 625145634 833527512 1250291268 1667055024 2500582536 5001165072