Search a number
-
+
1930462340352 = 2837131747181191
BaseRepresentation
bin11100000101111000100…
…001011010010100000000
320211112212020110201211020
4130011320201122110000
5223112041324342402
64034501523345440
7256320441102330
oct34057041322400
96745766421736
101930462340352
11684782733987
12272177b22280
13110070b475c0
14696134290c0
15353382968bc
hex1c17885a500

1930462340352 has 1152 divisors, whose sum is σ = 6911706267648. Its totient is φ = 463955558400.

The previous prime is 1930462340347. The next prime is 1930462340353. The reversal of 1930462340352 is 2530432640391.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1930462340353) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10107132577 + ... + 10107132767.

It is an arithmetic number, because the mean of its divisors is an integer number (5999745024).

Almost surely, 21930462340352 is an apocalyptic number.

1930462340352 is a gapful number since it is divisible by the number (12) 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 1930462340352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3455853133824).

1930462340352 is an abundant number, since it is smaller than the sum of its proper divisors (4981243927296).

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

1930462340352 is a wasteful number, since it uses less digits than its factorization.

1930462340352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 42.

The spelling of 1930462340352 in words is "one trillion, nine hundred thirty billion, four hundred sixty-two million, three hundred forty thousand, three hundred fifty-two".