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5181400968 = 2333716335797
BaseRepresentation
bin1001101001101010…
…11110011110001000
3111101002201102220120
410310311132132020
541102414312333
62214051223240
7242254116162
oct46465363610
914332642816
105181400968
112219847267
1210072a7b20
13647603343
14372201932
15204d39db3
hex134d5e788

5181400968 has 64 divisors (see below), whose sum is σ = 13385588160. Its totient is φ = 1670098176.

The previous prime is 5181400967. The next prime is 5181400993. The reversal of 5181400968 is 8690041815.

It is not an unprimeable number, because it can be changed into a prime (5181400963) 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 15 ways as a sum of consecutive naturals, for example, 126846 + ... + 162642.

It is an arithmetic number, because the mean of its divisors is an integer number (209149815).

Almost surely, 25181400968 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 5181400968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6692794080).

5181400968 is an abundant number, since it is smaller than the sum of its proper divisors (8204187192).

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

5181400968 is a wasteful number, since it uses less digits than its factorization.

5181400968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36006 (or 36002 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 42.

The square root of 5181400968 is about 71981.9489038745. The cubic root of 5181400968 is about 1730.4102035512.

The spelling of 5181400968 in words is "five billion, one hundred eighty-one million, four hundred thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 24 37 74 111 148 163 222 296 326 444 489 652 888 978 1304 1956 3912 6031 12062 18093 24124 35797 36186 48248 71594 72372 107391 143188 144744 214782 286376 429564 859128 1324489 2648978 3973467 5297956 5834911 7946934 10595912 11669822 15893868 17504733 23339644 31787736 35009466 46679288 70018932 140037864 215891707 431783414 647675121 863566828 1295350242 1727133656 2590700484 5181400968