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5105254000 = 245371133151
BaseRepresentation
bin1001100000100101…
…11111111001110000
3111011210102202220111
410300102333321300
540423421112000
62202331151104
7240340641310
oct46022777160
914153382814
105105254000
11218a867990
12ba58a5494
136348c1972
1436605d440
151ed2e7cba
hex1304bfe70

5105254000 has 160 divisors (see below), whose sum is σ = 15391014912. Its totient is φ = 1591200000.

The previous prime is 5105253983. The next prime is 5105254009. The reversal of 5105254000 is 4525015.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5105254009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 137425 + ... + 170575.

Almost surely, 25105254000 is an apocalyptic number.

5105254000 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 5105254000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7695507456).

5105254000 is an abundant number, since it is smaller than the sum of its proper divisors (10285760912).

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

5105254000 is a wasteful number, since it uses less digits than its factorization.

5105254000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33192 (or 33176 counting only the distinct ones).

The product of its (nonzero) digits is 1000, while the sum is 22.

The square root of 5105254000 is about 71451.0601740800. The cubic root of 5105254000 is about 1721.8915102451.

Adding to 5105254000 its reverse (4525015), we get a palindrome (5109779015).

The spelling of 5105254000 in words is "five billion, one hundred five million, two hundred fifty-four thousand".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 25 28 35 40 44 50 55 56 70 77 80 88 100 110 112 125 140 154 175 176 200 220 250 275 280 308 350 385 400 440 500 550 560 616 700 770 875 880 1000 1100 1232 1375 1400 1540 1750 1925 2000 2200 2750 2800 3080 3500 3850 4400 5500 6160 7000 7700 9625 11000 14000 15400 19250 22000 30800 33151 38500 66302 77000 132604 154000 165755 232057 265208 331510 364661 464114 530416 663020 729322 828775 928228 1160285 1326040 1458644 1657550 1823305 1856456 2320570 2552627 2652080 2917288 3315100 3646610 3712912 4143875 4641140 5105254 5801425 5834576 6630200 7293220 8287750 9116525 9282280 10210508 11602850 12763135 13260400 14586440 16575500 18233050 18564560 20421016 23205700 25526270 29007125 29172880 33151000 36466100 40842032 45582625 46411400 51052540 58014250 63815675 66302000 72932200 91165250 92822800 102105080 116028500 127631350 145864400 182330500 204210160 232057000 255262700 319078375 364661000 464114000 510525400 638156750 729322000 1021050800 1276313500 2552627000 5105254000