Search a number
-
+
1019606242512 = 243112131931101227
BaseRepresentation
bin11101101011001010100…
…01001001010011010000
310121110210010000202000010
432311211101021103100
5113201123144230022
62100222312154520
7133443536030634
oct16654521112320
93543703022003
101019606242512
1136345a163100
12145734098a40
13751c1209380
14374c6310dc4
151b7c7b5350c
hexed654494d0

1019606242512 has 960 divisors, whose sum is σ = 3436500049920. Its totient is φ = 257748480000.

The previous prime is 1019606242511. The next prime is 1019606242517. The reversal of 1019606242512 is 2152426069101.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1019606242511) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4491657343 + ... + 4491657569.

It is an arithmetic number, because the mean of its divisors is an integer number (3579687552).

Almost surely, 21019606242512 is an apocalyptic number.

1019606242512 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 1019606242512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1718250024960).

1019606242512 is an abundant number, since it is smaller than the sum of its proper divisors (2416893807408).

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

1019606242512 is a wasteful number, since it uses less digits than its factorization.

1019606242512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The spelling of 1019606242512 in words is "one trillion, nineteen billion, six hundred six million, two hundred forty-two thousand, five hundred twelve".