Search a number
-
+
18475464981456 = 2432738310144621
BaseRepresentation
bin1000011001101101001111…
…00001101111101111010000
32102102020101220212021202200
410030312213201233233100
54410200223013401311
6103143302245443200
73614544150126000
oct414664741575720
972366356767680
1018475464981456
11598344536711a
1220a4803a10500
13a402c8aa79a2
1447c3082c6000
152208c8a66556
hex10cda786fbd0

18475464981456 has 480 divisors, whose sum is σ = 61630192915200. Its totient is φ = 5163355008000.

The previous prime is 18475464981439. The next prime is 18475464981481. The reversal of 18475464981456 is 65418946457481.

It is a happy number.

18475464981456 is a `hidden beast` number, since 1 + 8 + 4 + 7 + 54 + 6 + 49 + 81 + 456 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 414030826 + ... + 414075446.

It is an arithmetic number, because the mean of its divisors is an integer number (128396235240).

Almost surely, 218475464981456 is an apocalyptic number.

18475464981456 is a gapful number since it is divisible by the number (16) 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 18475464981456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30815096457600).

18475464981456 is an abundant number, since it is smaller than the sum of its proper divisors (43154727933744).

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

18475464981456 is a wasteful number, since it uses less digits than its factorization.

18475464981456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44840 (or 44817 counting only the distinct ones).

The product of its digits is 928972800, while the sum is 72.

The spelling of 18475464981456 in words is "eighteen trillion, four hundred seventy-five billion, four hundred sixty-four million, nine hundred eighty-one thousand, four hundred fifty-six".