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5110200040 = 23511591011949
BaseRepresentation
bin1001100001001011…
…10111011011101000
3111012010202001121011
410300211313123220
540431202400130
62203025153304
7240430661251
oct46045673350
914163661534
105110200040
112192635a20
12ba748b834
1363593400a
14366989b28
151ed97352a
hex1309776e8

5110200040 has 128 divisors (see below), whose sum is σ = 12888720000. Its totient is φ = 1807744000.

The previous prime is 5110200019. The next prime is 5110200059. The reversal of 5110200040 is 400020115.

It is a super-2 number, since 2×51102000402 = 52228288897632003200, which contains 22 as substring.

It is an unprimeable number.

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, 2620986 + ... + 2622934.

It is an arithmetic number, because the mean of its divisors is an integer number (100693125).

Almost surely, 25110200040 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 5110200040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6444360000).

5110200040 is an abundant number, since it is smaller than the sum of its proper divisors (7778519960).

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

5110200040 is a wasteful number, since it uses less digits than its factorization.

5110200040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2131 (or 2127 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 13.

The square root of 5110200040 is about 71485.6631780107. The cubic root of 5110200040 is about 1722.4473947940.

Adding to 5110200040 its reverse (400020115), we get a palindrome (5510220155).

The spelling of 5110200040 in words is "five billion, one hundred ten million, two hundred thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 59 88 101 110 118 202 220 236 295 404 440 472 505 590 649 808 1010 1111 1180 1298 1949 2020 2222 2360 2596 3245 3898 4040 4444 5192 5555 5959 6490 7796 8888 9745 11110 11918 12980 15592 19490 21439 22220 23836 25960 29795 38980 42878 44440 47672 59590 65549 77960 85756 107195 114991 119180 131098 171512 196849 214390 229982 238360 262196 327745 393698 428780 459964 524392 574955 655490 787396 857560 919928 984245 1149910 1264901 1310980 1574792 1968490 2165339 2299820 2529802 2621960 3936980 4330678 4599640 5059604 6324505 7873960 8661356 10119208 10826695 11614091 12649010 17322712 21653390 23228182 25298020 43306780 46456364 50596040 58070455 86613560 92912728 116140910 127755001 232281820 255510002 464563640 511020004 638775005 1022040008 1277550010 2555100020 5110200040