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18346018964 = 22713439114809
BaseRepresentation
bin10001000101100000…
…100000100010010100
31202100120021022210212
4101011200200202110
5300033040101324
612232242504552
71216426405520
oct210540404224
952316238725
1018346018964
117864938649
123680065158
131964b21730
14c6077cd80
1572595770e
hex445820894

18346018964 has 48 divisors (see below), whose sum is σ = 39604857600. Its totient is φ = 7241170176.

The previous prime is 18346018921. The next prime is 18346018969. The reversal of 18346018964 is 46981064381.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18346018969) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102392 + ... + 217200.

It is an arithmetic number, because the mean of its divisors is an integer number (825101200).

Almost surely, 218346018964 is an apocalyptic number.

18346018964 is a gapful number since it is divisible by the number (14) 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 18346018964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19802428800).

18346018964 is an abundant number, since it is smaller than the sum of its proper divisors (21258838636).

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

18346018964 is a wasteful number, since it uses less digits than its factorization.

18346018964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115272 (or 115270 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 50.

The spelling of 18346018964 in words is "eighteen billion, three hundred forty-six million, eighteen thousand, nine hundred sixty-four".

Divisors: 1 2 4 7 13 14 26 28 52 91 182 364 439 878 1756 3073 5707 6146 11414 12292 22828 39949 79898 114809 159796 229618 459236 803663 1492517 1607326 2985034 3214652 5970068 10447619 20895238 41790476 50401151 100802302 201604604 352808057 655214963 705616114 1310429926 1411232228 2620859852 4586504741 9173009482 18346018964