Search a number
-
+
5710114358300 = 22521117821371929
BaseRepresentation
bin101001100010111110101…
…0101101000010000011100
3202012212210200120011101002
41103011331111220100130
51222023303233431200
620051105035405432
71126353646133552
oct123057525502034
922185720504332
105710114358300
111901711769260
127827a98b3878
133255ccb1b6b1
1415a52a09bbd2
159d7ee725bd5
hex5317d56841c

5710114358300 has 144 divisors (see below), whose sum is σ = 14330010633120. Its totient is φ = 1951878144000.

The previous prime is 5710114358257. The next prime is 5710114358309. The reversal of 5710114358300 is 38534110175.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5710114358309) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15166736 + ... + 15538664.

It is an arithmetic number, because the mean of its divisors is an integer number (99513962730).

Almost surely, 25710114358300 is an apocalyptic number.

5710114358300 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5710114358300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7165005316560).

5710114358300 is an abundant number, since it is smaller than the sum of its proper divisors (8619896274820).

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

5710114358300 is a wasteful number, since it uses less digits than its factorization.

5710114358300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372792 (or 372785 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 38.

Adding to 5710114358300 its reverse (38534110175), we get a palindrome (5748648468475).

The spelling of 5710114358300 in words is "five trillion, seven hundred ten billion, one hundred fourteen million, three hundred fifty-eight thousand, three hundred".

Divisors: 1 2 4 5 10 11 17 20 22 25 34 44 50 55 68 85 100 110 170 187 220 275 340 374 425 550 748 821 850 935 1100 1642 1700 1870 3284 3740 4105 4675 8210 9031 9350 13957 16420 18062 18700 20525 27914 36124 41050 45155 55828 69785 82100 90310 139570 153527 180620 225775 279140 307054 348925 371929 451550 614108 697850 743858 767635 903100 1395700 1487716 1535270 1859645 3070540 3719290 3838175 4091219 6322793 7438580 7676350 8182438 9298225 12645586 15352700 16364876 18596450 20456095 25291172 31613965 37192900 40912190 63227930 69550723 81824380 102280475 126455860 139101446 158069825 204560950 278202892 305353709 316139650 347753615 409121900 610707418 632279300 695507230 1221414836 1391014460 1526768545 1738768075 3053537090 3358890799 3477536150 5191013053 6107074180 6717781598 6955072300 7633842725 10382026106 13435563196 15267685450 16794453995 20764052212 25955065265 30535370900 33588907990 51910130530 57101143583 67177815980 83972269975 103820261060 114202287166 129775326325 167944539950 228404574332 259550652650 285505717915 335889079900 519101305300 571011435830 1142022871660 1427528589575 2855057179150 5710114358300