Search a number
-
+
18361877040 = 24310513223
BaseRepresentation
bin10001000110011101…
…000000001000110000
31202101200010000000000
4101012131000020300
5300101120031130
612234010430000
71220011244133
oct210635001060
952350100000
1018361877040
117872889aa1
123685432300
1319681b4800
14c6290a21a
1572703b260
hex446740230

18361877040 has 660 divisors, whose sum is σ = 72356346576. Its totient is φ = 4323331584.

The previous prime is 18361877033. The next prime is 18361877041. The reversal of 18361877040 is 4077816381.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (18361877041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 131 ways as a sum of consecutive naturals, for example, 798342469 + ... + 798342491.

Almost surely, 218361877040 is an apocalyptic number.

18361877040 is a gapful number since it is divisible by the number (10) 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 18361877040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36178173288).

18361877040 is an abundant number, since it is smaller than the sum of its proper divisors (53994469536).

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

18361877040 is an equidigital number, since it uses as much as digits as its factorization.

18361877040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 18361877040 in words is "eighteen billion, three hundred sixty-one million, eight hundred seventy-seven thousand, forty".