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5045461300 = 22521111340591
BaseRepresentation
bin1001011001011101…
…11010000100110100
3111000121220222202001
410230232322010310
540313114230200
62152353425044
7236013466465
oct45456720464
914017828661
105045461300
11215a038830
12b8986b184
136253b8179
1435c136d6c
151e7e3676a
hex12cbba134

5045461300 has 72 divisors (see below), whose sum is σ = 12049978752. Its totient is φ = 1818432000.

The previous prime is 5045461279. The next prime is 5045461307. The reversal of 5045461300 is 31645405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5045461307) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 104005 + ... + 144595.

It is an arithmetic number, because the mean of its divisors is an integer number (167360816).

Almost surely, 25045461300 is an apocalyptic number.

5045461300 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 5045461300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6024989376).

5045461300 is an abundant number, since it is smaller than the sum of its proper divisors (7004517452).

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

5045461300 is a wasteful number, since it uses less digits than its factorization.

5045461300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40729 (or 40722 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The square root of 5045461300 is about 71031.4106575394. The cubic root of 5045461300 is about 1715.1428339134.

The spelling of 5045461300 in words is "five billion, forty-five million, four hundred sixty-one thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 113 220 226 275 452 550 565 1100 1130 1243 2260 2486 2825 4972 5650 6215 11300 12430 24860 31075 40591 62150 81182 124300 162364 202955 405910 446501 811820 893002 1014775 1786004 2029550 2232505 4059100 4465010 4586783 8930020 9173566 11162525 18347132 22325050 22933915 44650100 45867830 50454613 91735660 100909226 114669575 201818452 229339150 252273065 458678300 504546130 1009092260 1261365325 2522730650 5045461300