Search a number
-
+
2419981032060 = 2232519312743991
BaseRepresentation
bin100011001101110010000…
…111000001101001111100
322120100101122020211002100
4203031302013001221330
5304122110121011220
65051420212025100
7336560246242614
oct43156207015174
98510348224070
102419981032060
11853343227319
12331012902190
131472846688b7
14851b05dba44
1542e38b46d90
hex233721c1a7c

2419981032060 has 432 divisors, whose sum is σ = 8003067770880. Its totient is φ = 590249721600.

The previous prime is 2419981032031. The next prime is 2419981032067. The reversal of 2419981032060 is 602301899142.

2419981032060 is a `hidden beast` number, since 2 + 4 + 199 + 81 + 0 + 320 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 2419981031997 and 2419981032015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2419981032067) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2441958165 + ... + 2441959155.

It is an arithmetic number, because the mean of its divisors is an integer number (18525619840).

Almost surely, 22419981032060 is an apocalyptic number.

2419981032060 is a gapful number since it is divisible by the number (20) 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 2419981032060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4001533885440).

2419981032060 is an abundant number, since it is smaller than the sum of its proper divisors (5583086738820).

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

2419981032060 is a wasteful number, since it uses less digits than its factorization.

2419981032060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1830 (or 1794 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 2419981032060 in words is "two trillion, four hundred nineteen billion, nine hundred eighty-one million, thirty-two thousand, sixty".