Search a number
-
+
5068890624 = 29372931609
BaseRepresentation
bin1001011100010000…
…10010001000000000
3111002021000022201210
410232020102020000
540340113444444
62154551530120
7236416600530
oct45610221000
914067008653
105068890624
112171290606
12b95689940
1362a1cc485
143612b54c0
151ea0137b9
hex12e212200

5068890624 has 160 divisors (see below), whose sum is σ = 15495258240. Its totient is φ = 1442414592.

The previous prime is 5068890601. The next prime is 5068890637. The reversal of 5068890624 is 4260988605.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 3149532 + ... + 3151140.

It is an arithmetic number, because the mean of its divisors is an integer number (96845364).

Almost surely, 25068890624 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 5068890624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7747629120).

5068890624 is an abundant number, since it is smaller than the sum of its proper divisors (10426367616).

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

5068890624 is a wasteful number, since it uses less digits than its factorization.

5068890624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1930 (or 1914 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 48.

The square root of 5068890624 is about 71196.1419179438. The cubic root of 5068890624 is about 1717.7935724488.

The spelling of 5068890624 in words is "five billion, sixty-eight million, eight hundred ninety thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 293 336 384 448 512 586 672 768 879 896 1172 1344 1536 1609 1758 1792 2051 2344 2688 3218 3516 3584 4102 4688 4827 5376 6153 6436 7032 8204 9376 9654 10752 11263 12306 12872 14064 16408 18752 19308 22526 24612 25744 28128 32816 33789 37504 38616 45052 49224 51488 56256 65632 67578 75008 77232 90104 98448 102976 112512 131264 135156 150016 154464 180208 196896 205952 225024 262528 270312 308928 360416 393792 411904 450048 471437 525056 540624 617856 720832 787584 823808 942874 1050112 1081248 1235712 1414311 1441664 1575168 1885748 2162496 2471424 2828622 2883328 3150336 3300059 3771496 4324992 5657244 5766656 6600118 7542992 8649984 9900177 11314488 13200236 15085984 17299968 19800354 22628976 26400472 30171968 39600708 45257952 52800944 60343936 79201416 90515904 105601888 120687872 158402832 181031808 211203776 241375744 316805664 362063616 422407552 633611328 724127232 844815104 1267222656 1689630208 2534445312 5068890624