Search a number
-
+
1903385640960 = 22137583
BaseRepresentation
bin11011101100101010101…
…000000000000000000000
320201221222012212220000000
4123230222220000000000
5222141113211002320
64014223040000000
7254341446000636
oct33545250000000
96657865786000
101903385640960
11674248633971
12268a80000000
1310a6472c0a9b
14681a533d356
15347a1110c90
hex1bb2aa00000

1903385640960 has 704 divisors, whose sum is σ = 6933686175360. Its totient is φ = 501454209024.

The previous prime is 1903385640929. The next prime is 1903385640967. The reversal of 1903385640960 is 690465833091.

1903385640960 is a `hidden beast` number, since 19 + 0 + 3 + 3 + 8 + 564 + 0 + 9 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1903385640897 and 1903385640906.

It is not an unprimeable number, because it can be changed into a prime (1903385640967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22932357079 + ... + 22932357161.

Almost surely, 21903385640960 is an apocalyptic number.

1903385640960 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 1903385640960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3466843087680).

1903385640960 is an abundant number, since it is smaller than the sum of its proper divisors (5030300534400).

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

1903385640960 is an frugal number, since it uses more digits than its factorization.

1903385640960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 1903385640960 in words is "one trillion, nine hundred three billion, three hundred eighty-five million, six hundred forty thousand, nine hundred sixty".