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2419426481472 = 26327111319492153
BaseRepresentation
bin100011001101010001000…
…011100101010101000000
322120021221222202201200200
4203031101003211111000
5304114441134401342
65051245202045200
7336540433526220
oct43152103452500
98507858681620
102419426481472
118530891a1250
12330a99049800
131471c67c4060
148515aac6080
1542e0510594c
hex233510e5540

2419426481472 has 672 divisors, whose sum is σ = 9320230483200. Its totient is φ = 579515351040.

The previous prime is 2419426481429. The next prime is 2419426481477. The reversal of 2419426481472 is 2741846249142.

2419426481472 is a `hidden beast` number, since 2 + 4 + 1 + 94 + 2 + 6 + 4 + 81 + 472 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2419426481477) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1123745548 + ... + 1123747700.

It is an arithmetic number, because the mean of its divisors is an integer number (13869390600).

Almost surely, 22419426481472 is an apocalyptic number.

2419426481472 is a gapful number since it is divisible by the number (22) 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 2419426481472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4660115241600).

2419426481472 is an abundant number, since it is smaller than the sum of its proper divisors (6900804001728).

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

2419426481472 is a wasteful number, since it uses less digits than its factorization.

2419426481472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4151 (or 4138 counting only the distinct ones).

The product of its digits is 6193152, while the sum is 54.

The spelling of 2419426481472 in words is "two trillion, four hundred nineteen billion, four hundred twenty-six million, four hundred eighty-one thousand, four hundred seventy-two".