Search a number
-
+
5001523968 = 28372713433
BaseRepresentation
bin1001010100001110…
…10011001100000000
3110220120020202001110
410222013103030000
540220342231333
62144144003320
7234641152350
oct45207231400
913816222043
105001523968
112137258a91
12b77000540
1361927344c
1435637ab60
151e4158063
hex12a1d3300

5001523968 has 144 divisors (see below), whose sum is σ = 15273552896. Its totient is φ = 1423319040.

The previous prime is 5001523931. The next prime is 5001523979. The reversal of 5001523968 is 8693251005.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1455180 + ... + 1458612.

Almost surely, 25001523968 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 5001523968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7636776448).

5001523968 is an abundant number, since it is smaller than the sum of its proper divisors (10272028928).

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

5001523968 is a wasteful number, since it uses less digits than its factorization.

5001523968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3730 (or 3716 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 39.

The square root of 5001523968 is about 70721.4533787308. The cubic root of 5001523968 is about 1710.1496589373.

The spelling of 5001523968 in words is "five billion, one million, five hundred twenty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 271 336 384 448 542 672 768 813 896 1084 1344 1626 1792 1897 2168 2688 3252 3433 3794 4336 5376 5691 6504 6866 7588 8672 10299 11382 13008 13732 15176 17344 20598 22764 24031 26016 27464 30352 34688 41196 45528 48062 52032 54928 60704 69376 72093 82392 91056 96124 104064 109856 121408 144186 164784 182112 192248 208128 219712 242816 288372 329568 364224 384496 439424 485632 576744 659136 728448 768992 878848 930343 1153488 1318272 1456896 1537984 1860686 2306976 2636544 2791029 3075968 3721372 4613952 5582058 6151936 6512401 7442744 9227904 11164116 13024802 14885488 18455808 19537203 22328232 26049604 29770976 39074406 44656464 52099208 59541952 78148812 89312928 104198416 119083904 156297624 178625856 208396832 238167808 312595248 357251712 416793664 625190496 714503424 833587328 1250380992 1667174656 2500761984 5001523968