Search a number
-
+
18475412411904 = 2937437711907
BaseRepresentation
bin1000011001101101001000…
…11001001101011000000000
32102102020021020221110220020
410030312210121031120000
54410200121034140104
6103143253131013440
73614542641240000
oct414664431153000
972366236843806
1018475412411904
115983418720908
1220a47aa29a280
13a402bac2cb46
1447c301320000
152208c41302d9
hex10cda464d600

18475412411904 has 800 divisors, whose sum is σ = 59833333207296. Its totient is φ = 5061028331520.

The previous prime is 18475412411903. The next prime is 18475412411959. The reversal of 18475412411904 is 40911421457481.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18475412411903) 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 79 ways as a sum of consecutive naturals, for example, 9688206919 + ... + 9688208825.

Almost surely, 218475412411904 is an apocalyptic number.

18475412411904 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 18475412411904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29916666603648).

18475412411904 is an abundant number, since it is smaller than the sum of its proper divisors (41357920795392).

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

18475412411904 is an frugal number, since it uses more digits than its factorization.

18475412411904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2064 (or 2027 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 51.

The spelling of 18475412411904 in words is "eighteen trillion, four hundred seventy-five billion, four hundred twelve million, four hundred eleven thousand, nine hundred four".